Journal of Intelligent & Fuzzy Systems - Volume 31, issue 1
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ISSN 1064-1246 (P)
ISSN 1875-8967 (E)
Impact Factor 2024: 1.7
The purpose of the Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology is to foster advancements of knowledge and help disseminate results concerning recent applications and case studies in the areas of fuzzy logic, intelligent systems, and web-based applications among working professionals and professionals in education and research, covering a broad cross-section of technical disciplines.
The journal will publish original articles on current and potential applications, case studies, and education in intelligent systems, fuzzy systems, and web-based systems for engineering and other technical fields in science and technology. The journal focuses on the disciplines of computer science, electrical engineering, manufacturing engineering, industrial engineering, chemical engineering, mechanical engineering, civil engineering, engineering management, bioengineering, and biomedical engineering. The scope of the journal also includes developing technologies in mathematics, operations research, technology management, the hard and soft sciences, and technical, social and environmental issues.
Abstract: In this paper, we introduce the notions of extended filter and n-fold strongly integral filter (resp., pseudo-residuated lattice). We give the characterizations of n-fold filters by a extended filter. We construct a new logical system of a pseudo-residuated logic. Afterwards, we show that the classes of n-fold strongly integral (resp., boolean, implicative, fantastic, involutive, strong) pseudo-residuated lattices are subvarieties of the variety of all pseudo-residuated lattices. Finally, we give logics which have the above varieties as models and the connections among them.
Abstract: We study fuzzy stochastic differential equations driven by multidimensional Brownian motion with solutions of decreasing fuzziness. The drift and diffusion coefficients are random. Under a non-Lipschitz condition, the existence and pathwise uniqueness of solutions to such the equations are proven. The solutions are considered to be fuzzy stochastic processes. The main result is obtained with a help of a sequence of approximate solutions that converge to a desired unique local solution with trajectories having decreasing fuzziness. A parallel assertion for solutions to fuzzy stochastic differential equations of increasing fuzziness is stated as well. We indicate that our considerations of fuzzy…stochastic differential equations of decreasing fuzziness can be applied to examine non-Lipschitz set-valued stochastic differential equations with solutions being set-valued stochastic processes.
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Abstract: Network on Chip (NoC) has been suggested as an appropriate and scalable solution for System on Chip (SoC) architectures having high communication demands. In this study, we propose heuristic fuzzy based mapping approaches to decrease the power consumption and improve the performance in the NoCs. The proposed method has two steps: core to task mapping and router reduction. In the mapping stage, two algorithms are proposed; first, proposed mapping algorithm maps the tasks to cores heuristically by means of Genetic and Simulated annealing algorithms, then tries to define a cost for each mapping and choose the lowest cost in order…to diminish the power dissipation in the NoCs. In the second mapping algorithm, fuzzy rules are applied to evaluate and select the best topology such that the power consumption is minimized. Fuzzy logic is used to make a better decision in terms of distance and bandwidth for tasks to cores mapping. In the second phase, since the optimum number of router resources has colossal effect on power dissipation in the NoCs, fuzzy approach is utilized to reduce the number of routers in the NoC architectures without any significant impact on the performance. To evaluate the proposed methods, we use five multimedia benchmarks. The experimental results show that heuristic and fuzzy logic methods improve the power consumption over the non-optimized NoC by up to 66% and 73%, respectively. Also, the proposed fuzzy mapping algorithm along with the router reduction method compared to the presented fuzzy without router reduction approach gives on an average, 73% energy reduction.
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Keywords: Fuzzy logic, heuristic mapping algorithm, network on chip, energy consumption
Abstract: In this paper, the stability theory for fuzzy differential equations in the quotient space of fuzzy numbers was essentially investigated with Lyapunov-like functions. Some sufficient criteria for the stability, uniformly stability and exponentially stability of the trivial solution of the fuzzy differential equations were obtained by using the differential inequalities and the comparison principle for Lyapunov-like functions.
Keywords: Fuzzy differential equations, fuzzy numbers, stability, quotient
space
Abstract: In this paper, we propose the concept of complex vague soft sets which are vague soft sets defined in a complex setting. Based on this new concept we define some concepts related to this notion as well as some basic operations namely the complement, union, intersection, AND and OR. The basic properties and relevant laws pertaining to this concept such as the De Morgan’s laws are also verified. We introduce the axiomatic definition of the distance function between two complex vague soft sets and subsequently define several distance measures between complex vague soft sets. Finally some of the algebraic properties…of these distance measures are verified.
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Abstract: A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, vague competition graph and m -step competition graphs related to a vague graph are introduced. Likewise, some interesting theorems on them, which are related to the independent strong edges of the vague competition graphs are investigated.
Abstract: This paper introduces four different types of Generalized Travelling Salesman Problem (GTSP) which are actually dynamic variants of the well-known logistics problems. For all of these defined types, new cities are added to/deleted from the city domain during the travelling of the salesman. This city addition and deletion during the solution phase of the problem, differentiates the proposed types from the classical GTSP. Since these variants of GTSP are relatively complicated compared to classical forms, an agent-based strategy is proposed in this paper to handle complexity and dynamism. In this respect, proposed agent-based strategy employs a general manager and numerous…region agents to control and coordinate the dynamism in their regions and in the central level. Region agents create solutions just for their regions and thereby complexity of obtaining a central solution for each change containing is avoided. Findings of the proposed agent-based strategy confirm that adaptation ability of agent-based strategy against the dynamism is significantly better than classical central solution approach. In this respect, this paper is expected to be novel in two respects. First, those four types of GTSP defined in this paper, are different from the classical GTSP since they have dynamic city domain. Second, the proposed novel agent-based solution strategy is capable to create solutions in a timely manner.
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Abstract: Since 1990 s, the Internet as the representative’s information technology fast development, has provided richer innovation way and the innovation space for enterprises compared to formerly any time all. Many new pattern enterprises arise at the historic moment based on the Internet technology. They create and provide the value with the traditional enterprise completely different way to the customer, and obtained huge success that the traditional enterprise to be unable. Under such background, business model–this beginning be seen in the computer specialized glossary, starts to arouse the social widespread interest, and becomes one of the most popular glossaries in academic circles…in the worldwide scale in very short time. Now, the business model and the business model innovation in the global scope, brings to the unprecedented attention and the widespread application. Even so, some very important concepts and fundamental theories about the business model fundamental research, such as the concept of business model, the factors that influence the innovation of business model and so on, do not form the uniform conclusion which accepts generally in the theorists. All of that on objective, has formed certain adverse effect to the business model innovation practice, therefore, the fundamental research related to business model and the innovation of business model urgently awaits to strengthen. In this paper, we investigate the multiple attribute decision making with hesitant fuzzy information. Motivated by the induced Choquet ordered averaging operator (I-COA) operator and geometric mean, we develop the induced hesitant fuzzy Hamacher correlated geometric (IHFHCG) operator and then utilize IHFHCG operator to develop the model for multiple attribute decision making with hesitant fuzzy information. Finally, an illustrative example for evaluating the innovation ability of traditional enterprise’s business model for internet transition is given to verify the developed approach.
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Keywords: Multiple attribute decision making, hesitant fuzzy information, induced hesitant fuzzy Hamacher correlated geometric (IHFHCG) operator, induced Choquet ordered averaging operator (I-COA) operator, innovation ability of traditional enterprise’s business model
Abstract: Object tracking have become one of the major applications of Wireless Sensor Networks (WSNs) due to its wide real-life applications such as wildlife animal monitoring and military area intrusion detection. Many recent articles have been dedicated to localization of objects; however, few of these articles were concentrated on the reliability of network data reporting along with objects localization. In this work, an efficient data reporting method is proposed for object tracking in WSNs. Energy is considered as one of the most critical resources for WSN. Data transmission from the nodes to the sink along with the minimum energy path could…be one of the solutions to minimize the overall network energy consumption. However, this might lead to unbalanced energy among sensor nodes resulting in, energy hole problem. Moreover, the reliable data transmission is an essential aspect that should be considered when designing a WSN for object tracking application, where the loss of data packets will affect the accuracy of the tracking and location estimation of a mobile object. Furthermore, due to the limited memory resources of sensor nodes, full utilization of such resources with less buffer overflow remains as a one of main consideration when a WSN application is designed. Consequently, this paper aims to achieve both minimum energy consumption in reporting operation and balanced energy consumption among sensor nodes for WSN lifetime extension. In addition, data reliability is considered in our model where, the sensed data can reach the sink node in a more reliable way. Finally, buffer space is considered in to reduce the packet loss and energy consumption due to the retransmission of the same packets. This work first formulates the problem as 0/1 Integer Linear Programming (ILP) problem, and proposes SWARM intelligence to solve the optimization problem. Through simulation, the performance of proposed method to report information about the detected objects to the sink is compared with the previous work such as LR-based object tracking algorithm, EBRP, ACO, TADR, SEB, and CLR-Routing.
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Keywords: WSNs, object tracking, data reporting, SWARM intelligence, Ant Colony
System (ACS), energy balancing, reliability
Abstract: The aim of this paper is to develop a new methodology for solving bimatrix games with payoffs of triangular intuitionistic fuzzy numbers (TIFNs), which are called TIFN bimatrix games for short. In this methodology, we define the concepts of the value-index and ambiguity-index and hereby develop a difference-index based ranking method, which is proven to be a total order. The parameterized bilinear programming models are derived from a pair of auxiliary TIFN mathematical programming models, which are used to determine solutions of TIFN bimatrix games. Validity and applicability of the models and method proposed in this paper are illustrated with…a practical example.
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Abstract: Partially observable Markov decision process (POMDP) model has been demonstrated many times to be suited for robust spoken dialogue management. Recently, some factored representations of POMDP model are designed for specific dialogue tasks. This paper proposes a novel factored POMDP model to describe a new application of affective dialogue management. Different from existing models, the user’s state space and the system’s observation space are both divided into two distinct components: goal and emotion. Moreover, the system’s action space is for the first time factored into two parts, i.e., goal response and emotion response, and the reward function is accordingly updated…by weighted sum of the two-part rewards. An example of intelligent music player is given to explain how to apply the new model to build an affective dialogue system. Four experiments are designed to reveal the influence of key parameters on the system performance. The simulation results demonstrate the rationality and feasibility of the proposed model.
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Keywords: Dialogue management, POMDP model, affective computing, spoken dialogue system
Abstract: Nowadays, using model checking techniques is one of the best solutions for software (and hardware) verification. The problem while using model checking techniques is state space explosion in which all the available memory is consumed by the model checker to generate all the reachable states. Among different approaches to cope with the state space explosion problem, using heuristic and meta-heuristic algorithms seems a proper solution. Although in all of these approaches it is not possible to solve the problem totally, however, it is possible to use them as refutation techniques. In the meta-heuristic techniques it is tried to generate only…a portion of the state space with the highest probability to reach a faulty state. In this paper, we propose two new algorithms to deadlock detection in complex software systems specified through graph transformation systems. The first approach is a hybrid algorithm using PSO and BAT (BAPSO) and the second one is a greedy algorithm to find deadlocks. The experimental results show that the hybrid approach (BAPSO) is more accurate than PSO, BAT and other existing approaches like Genetic Algorithm (GA). In addition, in most of the case studies, the proposed greedy algorithm can compete with the meta-heuristic algorithms in terms of speed and accuracy.
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Keywords: State space explosion, model checking, Graph Transformation Systems, genetic algorithm, BAT algorithm, Particle swarm optimization algorithm, greedy algorithm
Abstract: In this paper, by considering the notion of MV -modules, which is the structure that naturally correspond tolu -modules over lu -rings, we present the definitions of finitely generated and free MV -modules. Also, we define the notions of A k -module and free A k -module, where A is a PMV -algebra and k ∈ ℕ . In a special case, we obtain a general representation for a free A k -module. In the follow, by considering the notion of free objects, we obtain a method to construct a free objecton a…nonempty set in A k -modules. Finally, we present the definitions of invariant dimension property and A k -invariant dimension property in PMV -algebras and prove that every PMV -algebra has the A k -invariant dimension property.
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Abstract: In order to solve the problems of poor universality, auxiliary algorithm complexity and great limitation in general segmentation algorithms, a new segmentation algorithm for farmland obstacle images using an intuitionistic fuzzy divergence based on threshold techniques was proposed. The original three-dimensional color image was converted to (Z-Y) chromatic aberration grayscale image on XYZ color space as the input images. While using intuitionistic fuzzy divergence, a modified Wu’s membership function and Sugeno’s intuitionistic fuzzy generator were used to find the membership and non-membership functions respectively. A new exponential intuitionistic fuzzy divergence based entropy formulas has been proposed and the optimum threshold…value has been obtained by minimizing intuitionistic fuzzy divergence. The experimental results indicated that the proposed algorithm could clearly detect all types of obstacles and overcome the influence of unstructured environments well such as uneven illumination, shadow, weather and so on. The results inspire us explore further applications of intuitionistic fuzzy sets in the segmented images that contain a high degree of uncertain information. Furthermore, this proposed method can be used for the agricultural robots vision navigation accurately.
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Abstract: In this paper, a realistic formulation for the non-convex economic dispatch problem is proposed. It considers different practical constraints including ramp rate limits, valve loading effect, prohibited operating zones, spinning reserve and multi-fuel options. In this regard, a new optimization method based on the bat algorithm is proposed to solve the problem. Meanwhile, because the proposed problem is complex, nonlinear, and constrained, a new self-adaptive modification method, called modified BA or shortly MBA, is proposed. The satisfying performance of the proposed optimization method is examined using IEEE 15-unit, 40-unit and 100-unit test systems. Comparative studies demonstrate the consistent superiority of…the proposed method over other alternative optimization techniques widely used in the literature for solving the economic dispatch problem.
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Abstract: The F -core and the F -balancedness have been introduced for fuzzy interval cooperative games by Mallozzi et al. (2011). It was pointed out that the F -balancedness was a necessary but not sufficient condition for the non-emptiness of the F -core. In this paper, a numerical example is given to show that the F -balancedness can not guarantee the non-emptiness of the F -core. Furthermore, the F -cores of trapezoidal fuzzy interval games are discussed in detail. Some properties of the F -core are obtained and three sufficient conditions for the…non-emptiness of the F -core are given. These conclusions are generalizations of the corresponding results in both interval cooperative game theory and classical cooperative game theory. Lastly, an application example is also provided.
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Abstract: With the increasingly fierce competition in the market, the virtual enterprises are becoming a realistic choice of enterprises. As a new business mode, the virtual enterprises bring tremendous opportunities to improve the competitiveness of enterprises to a certain degree. However, without enough practical and proper theoretical experience, the failure probability of virtual enterprises is high. The virtual enterprises have certain advantages, but the complexity of their organization makes the uncertainties increasing, the risk analysis control is difficult and the risk management is complex. In order to achieve smooth operation and expected profits, the virtual enterprises must succeed to avoid the…risks. Therefore, the risk management for virtual enterprises is significant in theoretical and practical research. In this paper, we investigate the 2-tuple linguistic multiple attribute group decision making problems with incomplete weight information, some basic concepts and operational laws of 2-tuple linguistic variables are introduced. A model based on the entropy weight method, by which the attribute weights can be determined, is established. According to the traditional ideas of grey relational analysis (GRA), the optimal alternative(s) is determined by calculating the linguistic degree of grey relation of every alternative and 2-tuple linguistic positive ideal solution and 2-tuple linguistic negative ideal solution. It is based on the concept that the optimal alternative should have the largest degree of grey relation from positive ideal solution and the smallest degree of grey relation from the negative ideal solution. Finally, an illustrative example for evaluating the virtual enterprise’s risk is given to verify the developed approach and to demonstrate its practicality and effectiveness.
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Keywords: Multiple attribute group decision making, 2-tuple linguistic information, grey relational analysis (GRA), entropy weight method, virtual enterprise’s risk
Abstract: A cooperative game describes a situation in which a finite set of n players can generate certain profits by their cooperation. How to allocate the profits effectively among each player is very important and it will affect the stability and the sustainable development of their cooperation. In this paper, by analyzing the characteristics of the existing solutions to solve the profit allocation problem, some concepts such as cooperative unit, perfect matching pair are firstly defined, a construction method of matching order is proposed. Then a new solution called matching value is defined, its basic properties are discussed by a…series of theorems. Finally, a matching value under total coalition structure is defined and its axiomatization is proved by three axioms.
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Abstract: It is well known that the ranking of generalized fuzzy numbers depend upon the height of fuzzy numbers. In this note, it is shown that the method, proposed by Rezvani [Applied Mathematics and Computation 262 (2015) 191-198] for ranking of generalized exponential trapezoidal fuzzy numbers, is independent from height of fuzzy numbers. Hence, it is not genuine to use this method for ranking of generalized exponential trapezoidal fuzzy numbers.
Abstract: This paper presents a theory of uniform-type structures in the non-commutative sense. The theory comprises the theory of covering-uniformities for quantales as a generalization of the classical theory of covering-uniformities for frames. Also, by introducing quantale-valued covers of a set, we present a general framework for uniform structures on very general L -valued spaces (for L a quantale). The categories of (covering) uniform quantales and L -valued uniform spaces here introduced and the adjunction between them is studied.
Abstract: In this paper, we define the spaces N θ β ( p , F , Δ m ) , S θ β ( F , Δ m ) , w p β ( F , Δ m ) for sequences of fuzzy numbers using generalized difference operator Δ m and a lacunary sequence θ and give some relations between them, where β ∈ (0, 1] and p > 0. Furthermore, in the last section of paper, some inclusion theorems are presented…related to the spaces S θ β ( F , Δ m ) and w p β ( θ , f , F , Δ m ) according to modulus function f .
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Keywords: Fuzzy number, sequence of fuzzy numbers, statistical convergence, lacunary sequence, Cesàro summability, modulus function
Abstract: A vital task in image denoising is to preserve edges and image features while removing noise. This paper presents an efficient algorithm for noise removal by incorporating an adaptive bilateral filter in the subsampled pyramid and nonsubsampled directional filter bank (SPNSDFB). This filter bank decomposes the noisy image into subbands of different frequency and orientation. Owing to its multiscale, multidirectional and lack of shift variance capability, it provides an efficient representation of intrinsic geometric structures of an image. By the fusion of the bilateral filter in SPNSDFB domain and optimum selection of parameters of the adaptive bilateral filter, the proposed…algorithm minimizes mean square error (MSE) between the original image and the denoised image even at high noise densities. Experimental results show that the algorithm is found to be competitive in denoising performance due to its better edge preservation and improves peak signal-to-noise-ratio and image visual impression.
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Keywords: Directional filter bank (DFB), subsampled pyramid (SP), nonsubsampled directional filter bank (NSDFB), fan filter
Abstract: Motivated by the concept of fuzzy finite automata and fuzzy pushdown automata, we investigate a novel fuzzy state grammars and fuzzy deep pushdown automata concept. This concept represents a natural extension of contemporary state grammar and deep pushdown automaton, making them more robust in terms of imprecision, errors, and uncertainty. It has been proved that we can construct fuzzy deep pushdown automata from fuzzy state grammars and vice-versa. Furthermore, it has been proved that if fuzzy deep pushdown automaton M fd is constructed from fuzzy state grammar G fs then L (M fd ) = L (G…fs ). In other words, for any string α ∈ Σ * , μ (α ; α ∈ L (G fs )) = μ (α ; α ∈ L (M fd )) where μ denotes the membership of a string.
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Keywords: Regulated grammars, regulated automata, fuzzy state grammars, fuzzy deep
pushdown automata
Abstract: The high-throughput technology has led to exponential growth of biological data and information in online databases. This huge data provides new opportunities and challenges for development and application of informatics approaches for extracting and processing new information and knowledge from these databases. One of the major challenges is the presence of inherent uncertainty in this molecular data. The uncertainty arises due to degree of relationship of amino acids present in the sequences with the various parameters like length range, species. The variation in the length of molecular sequences leads to uncertainty in length ranges. The existing algorithms for association rule…mining are not completely capable of dealing with this uncertainty. In this paper a fuzzy soft approach has been proposed for mining amino acid fuzzy associations in peptide sequences of Mycobacterium tuberculosis complex (MTBC). The soft sets are employed to model relationship of amino acids with parameters like length range and species etc. The fuzzy set approach is employed to deal with the uncertainty of length ranges. The appropriate membership function has been proposed to model the uncertainty of length ranges. The fuzzy soft associations of amino acid along with their support and confidence have been computed for peptide sequences of MTBC. The results have been compared with the fuzzy approach as well as soft set approach and it is observed that there is significant change in the results. The proposed approach is quite useful in addressing the issue of uncertainty in molecular sequences considered in this paper. The fuzzy soft approach provides visibility of dependence of various characteristics on type of species and length ranges of sequences. Also the amino acid associations information have been generated in the form of rules which can be useful in developing signature which will provide better insights of structure, functions and interactions etc.
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Keywords: Association rule, support, confidence, fuzzy set, soft set
Abstract: In this article, we have an interested implementing new intelligent strategies based on fuzzy controllers, for a better integration of renewable energy in the powerful electrical networks, commonly called super grids. A preliminary investigation has allowed us to learn more about the impact of this integration on algebraic variables of an electrical network on one hand and on the modes of operation of power plants on the other. Indeed, if necessary to ensure the strategic balance production and consumption, especially during peak hours, power operators shall ensure that the integration of one or more wind farms does not affect any…aspect of the quality Energy distributed to subscribers. Perfect stability of large power grids at times of integration of renewable energy sources is ensured through the use of new strategies constituting a potential support which acts to overcome the hazards may hinder the operation of the components basic of these grids.
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Abstract: Link prediction is an important sub-task in link mining area. This paper discusses link prediction in dynamic networks and proposes a new link prediction method which can learn from the long-term graph evolution of networks. The method first represents the variation of the structural properties in a dynamic network. Then, a classifier is trained for each property. It finally conducts link prediction process using an ensemble result of all the classifiers. Experiments in three realistic collaboration networks show that the evolution information of the network is beneficial for the improvement of link prediction performance and different structural property has different…capability to describe dynamics of the network.
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Keywords: Dynamic network, link prediction, machine learning, social network analysis
Abstract: To simplify decision making of market participants, a careful and reliable electricity market price forecasting method is indispensable. Nevertheless, due to the Instability in market clearing prices (MCPs), it is rather tough to forecast MCPs accurately. Using probabilistic forecasting is a new solution to overcome the low accuracy of forecast. Transformation from traditional point forecasts to probabilistic interval forecasts is too important to model the uncertainties of forecasts. Thus the decision making activities of market participants are supported against uncertainties and risks effectively. In this paper a hybrid approach to achieve prediction intervals (PIs) of MCPs is proposed that modified…dolphin echolocation optimization algorithm (MDEOA) is applied to estimate point forecasts, model uncertainties, and noise variance. This proposed electricity price probabilistic forecasting method is evaluated by a generalized and comprehensive framework. To test the proposed hybrid method, real price data from Ontario, New England, and, Australian electricity markets are used and effectiveness of the method is validated.
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Abstract: Recently, Hasankhani et al. proved that any Felbin-fuzzy inner product space can be imbedded in a complete Felbin-fuzzy inner product space or Felbin-fuzzy Hilbert space. In this paper, it is showed a general result that any classical Hilbert space is a Felbin-fuzzy Hilbert space, so it shows that all results in classical Hilbert spaces are immediate consequences of the corresponding results for Felbin-fuzzy Hilbert spaces. Moreover by an example, it is showed that the spectrum of the category of Felbin-fuzzy Hilbert spaces is broader than the category of classical Hilbert spaces. Finally the authors are able to state a transformation…theorem from an ascending family of crisp inner product into Felbin-fuzzy inner product that shows how to formulate the recent results.
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Abstract: Over the past few years, distribution system operators try their best in order to obtain the well-balanced distribution systems to reduce the power loss, decrease the operation cost and improve the reliability indices. This paper presents an efficient method to solve the multi-periods distribution feeder reconfiguration (DFR) with respect to the presence of Distributed Generators (DGs). Most studies so far have investigated reconfiguration problem as a single period problem considering a fixed level of load. However, in this study, time-varying characteristics of load profiles and line failure rates are considered. The proposed framework formulates and studies the direct and implied…costs of power supply, reliability, energy loss, and switching operations, simultaneously. By considering these conditions to the DFR problem, the number of decision variables is significantly increased and the problem becomes more complicated than before. To this end a new modified particle swarm optimization (PSO) algorithm, compatible with the multi-periods problems, is presented. In the proposed algorithm, the costs of individual periods and the total cost are considered simultaneously in order to update the particles. To evaluate the performance of the proposed method, the results are compared with the original one. A typical distribution test system is used to demonstrate the performance of the proposed approach.
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Abstract: In this paper, decompositions of L -fuzzy natural numbers and cut sets of L -fuzzy sets on finite sets are presented. Then, based on some unified nature of L -fuzzy natural numbers, the notions of ℕ β L -nested mappings and ℕ α L -nested mappings are introduced and some representations of them are obtained. It is showed that if a ℕ β L -nested mapping (resp. ℕ α L -nested mapping) is generated by an L -fuzzy natural number, then its representation is…exactly equal to itself. As for applications, the addition and the exponentiation of two ℕ β L -nested mappings (resp. two ℕ α L -nested mappings) are introduced. It is also showed that, given two ℕ β L -nested mappings (resp. two ℕ α L -nested mappings), cut sets that correspond to the representations of their addition (or, their exponentiation) are equal to cut sets of the addition (or, the exponentiations) of the given mappings.
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Abstract: The robot manipulators are highly nonlinear, time varying and one of the important challenges in the field of robotics is the effective control of manipulators. This paper presents a technique to extract the rules of Fuzzy Logic Computed Torque Controller for PUMA-560 robot arm with uncertainties. Fuzzy Logic Controllers are placed at the input of the PD Controller to make the gains adaptive. Prisoner’s dilemma is employed to systematically tune the gains of the controller. The interrelations between inputs and outputs of a Fuzzy Linguistic Model are assigned using payoff matrix through Prisoner’s Dilemma. The difficulty in designing of fuzzy…controllers is the extraction of the rule base. The extraction of fuzzy control rules requires good understanding of the plant and control theory. The present paper utilizes Fuzzy Lyapunov Synthesis to constitute the rule base assuming that minimal knowledge about the plant to be controlled. Simulation results prove the effective performance of the proposed controller in minimizing the error in joint angles when compared to Proportional Derivative Computed Torque Controller (PD-CTC), normal Fuzzy Logic Controller (FLC) and that of the reference signal.
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Abstract: In this paper, the notions of commutators and pseudo commutators of elements (subsets) of a BCI -algebra are introduced and some properties are given. The concept of solvable BCI -algebras are also discussed and their properties are investigated. It is proved that the class of solvable BCI -algebras is closed under sub-algebra, cartesian product and inverse image operations.
Abstract: Security-constrained economic dispatch (SCED) which is used to minimize the operation cost of the committed units with the constraints of power balance, ramp rate, and unit capacity is one of the routine challenges in power system operation. In this paper, a nonparametric estimation method based on kernel density and linear diffusion is proposed to obtain continuous probability density functions for probabilistic SCED outcomes. It is assumed that the probabilistic SCED problem is the second stage of a two-stage problem, while stochastic security-constrained unit commitment is the first stage. To evaluate the efficacy of the proposed method, a 6-bus test system…and IEEE 118-bus system are used as case studies. Implementing the proposed method on these case studies demonstrates the accuracy of the proposed method for large scale power systems.
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Keywords: Benders’ decomposition, kernel density estimation, linear diffusion method, probabilistic security-constrained economic dispatch, security-constrained unit commitment
Abstract: In this article, after describing some examples to explain the concept of fuzzy multiplicative (m , n )-hyperrings (F (m ,n ) -hyperrings), we will offer some related properties. Also, by defining F -hyperideals and regular relations, we will study the quotient of multiplicative F (m ,n ) -hyperrings. Finally, we will generalize the classical isomorphism theorems of groups to multiplicative F (m ,n ) -hyperrings.
Abstract: In this paper, the operations of fuzzy ellipsoid numbers and the direct relationship between the joint membership function and the edge membership functions are investigated. First, we prove that the general scalar multiplication (defined by Zadeh’s expansion) of fuzzy ellipsoid numbers preserves the closeness of the operation, but the general addition (defined by Zadeh’s expansion) does not preserve the closeness of the operation. Then, a new addition “⊕” of fuzzy ellipsoid numbers is defined, and it is shown that the new addition “⊕” preserves the closeness of the operation, and is the best approximation of the general addition operation in…all addition operations which preserves the closeness of the operation for fuzzy ellipsoid numbers. Next, a bijection is established between fuzzy n -ellipsoid number space and n dimension fuzzy vector space. Furthermore a formula is obtained to express the edge membership functions with the joint membership function, and an iterative algorithm is proposed to calculate the joint membership function value as the edge membership functions are known, and the convergence of the iterative algorithm is demonstrated.
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Abstract: Probabilistic neural network (PNN) is simple and can be easily implemented. PNN has fast learning speed, and its outputs are posterior probabilities which facilitate the combination of classifiers with fuzzy integral. In this paper, we proposed a face recognition algorithm named EPNN, which combine PNN classifiers with fuzzy integral, and can make full use of the superiority of PNN and ensemble learning. The proposed method includes three stages: (1) the incomplete wavelet packet decomposition of face images; (2) training PNN classifiers with wavelet sub-images with low frequency components. (3) combination of the trained PNN classifiers by fuzzy integral. Compared with…four matrix subspace algorithms, the proposed method can obtain competitive performance. Such as, it can improve the accuracy of face recognition with less CPU time. The experimental results on JAFFE, YALE, ORL and FERET confirm that the proposed method outperform the four matrix subspace algorithms.
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Abstract: In this paper a hybrid compression using precoding block and Fast Stationary Wavelet Transformation have been proposed for standard and compound images. The proposed method is the extension of transformation based compression process. It has two operations 1. precoding, 2. transformation. The first process is precoding in which the original image is divided into (n×n) non overlapping blocks then each block is combined with the precoding block, which have different level of gray values. When the original pixel value is nearer to the precoding block element, then the original pixel value is rounded near the precoding element data. Secondly the…precoded image data has been transformed by FSWT (Fast Stationary Wavelet Transformation) and got the energy compaction.The proposed technique is dually reduce the size of the information by precoding block and transformation. So it is very much suitable for compressing all types of images.
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Abstract: In cluster based wireless sensor networks the existing technique does not offer security to the cluster head. The communication between the cluster head and the sink is not secured. Also, the technique to prevent malicious cluster head is not provided. In this paper, we propose to design a cluster based secure authentication technique based on ant colony optimization in wireless sensor networks. Initially the sensor nodes are authenticated before they are deployment in the network. The authenticated sensor node with maximum energy and trust value is selected as Cluster Head (CH). The distance among the cluster member and cluster head…is estimated using the ant colony optimization (ACO) technique. The estimated distance, trust value and energy consumed by each cluster member are taken as input over fuzzy logic technique to select the secure node for data aggregation. The aggregated data is delivered from the CH to the Base Station (BS) attached with a message authentication code (MAC). By simulation results, we show that the proposed technique improves the secured data communication in the network.
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Keywords: Ant colony optimization (ACO) technique, WSN, cluster based secure authentication technique, message authentication code, clustering
Abstract: Despite multitude of research ponders on despeckling ultrasound images, contriving an efficient despeckling method still exist as an open challenge. The presence of speckle noise in ultrasound images complicates the accuracy of disease diagnosis. The classical Rayleigh Maximum Likelihood Estimation (RMLE) based despeckling filter was exclusively proposed to despeckle ultrasound images. It provides proper tradeoff between speckle suppression and edge preservation by discriminating the image region as edge and background correspondingly. Many despeckling filters utilize various statistical measures which remains uncertain in order to distinguish between image edge region and background region. This proposed filter harness the Fuzzy inference rules…based image connectivity measure to avoid ambiguity in image region discrimination and adapts an appropriate tuning parameter to modify classical RMLE despeckling. The proposed method involves three steps in which the first step uses Fuzzy inference rules to categorize the type of image area as edge and background. Second step involves recursive optimal selection of appropriate filter tuning parameter by using adaptive technique. Third step involves estimation of noise-free pixels by using RMLE formulation. Quantitative evaluation was made by considering various performance metrics to compare the proposed filter and existing filters. The obtained result demonstrates that the proposed filter predominantly preserves the edges structures and clinical features.
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Abstract: In this paper, a new concept of deviation distance and deviation degree between two closed intervals is being introduced. A new algorithm has been proposed to solve a Fully Fuzzy Multiobjective Linear Programming (FFMOLP) problem with all the constraints as fuzzy inequalities. In the algorithm, the FFMOLP problem is transformed into Crisp Nonlinear Programming (CNLP) problem by using the proposed concept of deviation degree, fuzzy nearest interval approximation, and goal programming (GP) technique. Then, it is proved that the δ -optimal solution of the CNLP problem is the fuzzy Pareto optimal solution of FFMOLP problem. Finally, to illustrate our method…and to show its effectiveness, numerical examples are solved and are compared with the existing methods.
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Abstract: Typical hesitant fuzzy set is a kind of generalization of classical fuzzy set by possessing a membership degree, called as typical hesitant fuzzy element, of finite non-empty subset of the unitary interval. This paper studies the constructive approach to rough set approximation operators in typical hesitant fuzzy background. Firstly, two novel partial orders are introduced to compare two arbitrary typical hesitant fuzzy elements and typical hesitant fuzzy sets, meanwhile, the basic operations, including intersection, union and α -level sets of typical hesitant fuzzy sets are then proposed and their properties are studied in detail. Secondly, typical hesitant fuzzy rough sets…are introduced and studied via the new operations of intersection and union. Furthermore, typical hesitant fuzzy rough approximation operators are represented by the rough approximation operators of the α -level set of typical hesitant fuzzy set. Finally, the connections between typical hesitant fuzzy (and crisp, respectively) relations and typical hesitant fuzzy rough (and rough typical hesitant fuzzy, respectively) approximation operators are further established.
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Abstract: This article deals with a new novel defuzzification method for the dense fuzzy sets. In our study, we first define the dense fuzzy set for triangular fuzzy numbers. Then new defuzzification methods have been formulated with crisp convergence tests. Cauchy sequence has been utilized for better illustrations. We show the usefulness and the global justification of newly introduced methods. Applications of new methods in decision making, psychological test, military selection, cryptography, photography, crime research, filtering of noisy environment and risk analysis have been given as its key indexes.
Abstract: In this paper, first we introduce the concept of rough soft lattices and present some basic properties. Then, the notion of generalized fuzzy soft lattices is defined and some related properties are derived. Moreover, the lattice structure of generalized fuzzy soft lattices is discussed.
Abstract: The successful applications of artificial intelligence techniques have been widely increased during recent years. Today, outsourcing is a common strategy to enhance competitive advantages particularly for manufacturing industries. When a manufacturer receives a number of orders from customers, an internal capacity shortage is inevitable, and then the manufacturer may decide to outsource a certain set of orders. To get the joint decision on order scheduling and operation outsourcing in a parallel machine shop, an intelligent decision making technique which is based on an artificial team process algorithm (TPA) is designed in current paper. TPA is a recently evolutionary tool where…operations of exploration and an epitome-based learning behavior is employed, and the operation division between elite and plain groups is elaborated. For a successful global search, the TPA lets one group (elite) explore more global spaces, while, for fast convergence, another group (plain) is assigned to local search. So, TPA is an efficient computational-based algorithm with the potential of global search during reasonable computational efforts. Additionally, a neighborhood search algorithm (NSA) with three kinds of neighborhood structures is devised to further enhance the quality of solutions at each iteration of TPA. Furthermore, the List Scheduling (LS), as a conventional scheduler, a GA and a SA are also customized for the addressed problem as benchmark algorithms. The comparisons are carried out and the results reveal the superiority of suggested method.
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Keywords: Artificial intelligence, operations outsourcing, team process algorithm, learning operation
Abstract: This paper presents consensus models based on distance for group decision making problems under interval fuzzy and multiplicative preference relations. First, some quadratic programming models based upon the idea of minimizing the sum of squared distances between all pairs of weighted interval fuzzy or multiplicative preference judgments are developed to obtain the weights of experts. Then, two indices, an individual to group consensus index (ICI ) and a group consensus index (GCI ) are defined. Furthermore, iterative consensus algorithms are proposed and the processes stop until both the ICI and GCI are less than predefined thresholds or reaching…the maximum number of iteration. Finally, two illustrative examples are given to demonstrate the feasibility and effectiveness of the proposed methods.
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Abstract: The reversible work required in forming an interface between a crystal and its coexisting liquid plays significant roles in many phase transformation and controls many processes such as nucleation, crystal growth, surface roughening and surface melting among others. Despite these significances, its experimental determination is difficult and only few experimental results are available in the literatures. This present work aims at circumventing these experimental challenges by developing a computational intelligence (CI) based model that relates solid-liquid interfacial energies of materials with their melting temperatures using support vector regression (SVR) with test-set cross validation optimization technique. The results of the developed…CI-based model show persistent closeness to the few available experimental data than other compared existing theoretical models such as Miedema and den Broeder model, Granasy and Tegze model, Jiang combined model and Ewing model. The outstanding performance of the developed CI-based model as well as its implementation which only needs the value of melting temperature of the concerned material, is of immense importance in circumventing the experimental challenges in the practical attainment of equilibrium between a crystal and its melt for solid-liquid interfacial energy determination.
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Keywords: Solid-liquid interfacial energy, computational intelligence based model, support vector regression and melting temperature
Abstract: The objective of the present work is divided into two folds. Firstly, an interval-valued Pythagorean fuzzy set (IVPFS) has been introduced along with their two aggregation operators, namely, interval-valued Pythagorean fuzzy weighted average and weighted geometric operators for different IVPFS. Secondly, an improved accuracy function under IVPFS environment has been developed by taking the account of the unknown hesitation degree. The proposed function has been applied to decision making problems to show the validity, practicality and effectiveness of the new approach. A systematic comparison between the existing work and the proposed work has also been given.
Abstract: Today rapid and drastic changes are taking place in technology. Technological innovation capability of a nation to knowledge becomes the crucial factor which raises national industry competition ability. Only in this way can an enterprise scientifically realize its technological innovation ability in its competition with its counterpart, employ appropriate innovation strategy, make full use of its advantages and achieve the best economic and social benefits. The aim of this paper is to study the evaluation problems for evaluating the enterprise technological innovation capability with 2-tuple linguistic information. The induced 2-tuple linguistic choquet ordered harmonic average (I-2TCOHA) operator is used to…aggregate the 2-tuple linguistic information corresponding to each alternative and rank the alternatives and select the most desirable one(s). Finally an illustrative example for evaluating the enterprise technological innovation capability has been given to show the developed approach.
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Abstract: In this paper poset valued intuitionistic fuzzy sets are introduced and investigated (for posets in general). It is proved that in case of arbitrary finite posets, represented as a poset of a convenient distributive lattice, a natural version of the definition is obtained, using join-irreducible elements. Two families of cuts and their properties are investigated. Necessary and sufficient conditions under which two families of subsets are families of cuts of a poset valued intuitionistic fuzzy set are given.
Keywords: Poset-valued intuitionistic fuzzy sets, cut-sets, representation by cuts
Abstract: This paper investigates the solution of fuzzy Stochastic Differential Equation (SDE). The involved parameters in the governing SDEs are considered as fuzzy. A transformation method has been used to operate the fuzzy numbers. System of Ito stochastic differential equations containing fuzzy parameters has been modelled here which is based on the transformation method. Further, fuzzy Euler Maruyama approximation method has also been proposed. Finally standard fuzzy SDEs are solved to demonstrate the proposed methods.
Abstract: This paper presents a proper scenario-based method for hourly operation management of a Micro-Grid (MG) in a stochastic environment. The proposed method can model the uncertainty of the power produced by wind and solar resources, load demand and electricity market price simultaneously. In order to reduce the computational time of the problem, a Linear Programming (LP) is proposed to reduce and rearrange the number of scenarios and their probabilities respectively. The optimal objective value of the original multi-scenario problem is closely approximated by the optimal objective value of the reduced problem. In fact, the original stochastic model is transformed into…a deterministic equivalent using the reduced set of scenarios. Each new obtained scenario is considered as the input for a deterministic problem with a specific probability. In this regard, each problem is formulated as a multi-objective optimization problem to minimize the total operating cost of the MG considering reliability issues. Then, the Shuffled Frog Leaping Algorithm (SFLA) is employed to solve the optimization problem. The SFLA is also compared with conventional heuristic algorithms (i.e., Simulated Annealing (SA), Particle Swarm Optimization (PSO) and Genetic Algorithm (GA)) in terms of capability and superiority. The simulations are conducted on a typical low-voltage grid-connected MG which includes Micro-Turbine (MT), high penetration of Wind Turbine (WT) and Photovoltaic (PV) generation and Energy Storage System (ESS).
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Keywords: Optimal operation management, micro-grid, shuffled frog leaping, linear programming
Abstract: In contemporary and future embedded as well as high-performance microprocessors, power consumption is one of the most important design considerations. Because in current technologies, the dynamic power consumption dominates the static power consumption, voltage scaling is an effective technique to reduce the power consumption. In multiprocessor systems, an efficient scheduling of sequential and parallel tasks onto the processors is known to be NP- Hard problem. In this paper, the problem of minimizing schedule length with energy consumption constraint and the problem of minimizing energy consumption with schedule length constraint on homogeneous and heterogeneous multiprocessor computers through independent sequential and parallel…tasks are proposed. These problems emphasize the tradeoff between power and performance and are defined such that the power-performance product is optimized by fixing one factor and minimizing the other and vice versa. The performances of the proposed algorithm with optimal solutions are validated using Discrete Particle Swarm Optimization (DPSO). The proposed algorithms achieve 47.5% of power savings and 45.5% of energy saving with 23.5% increased schedule length when the processors operate its maximum frequency.
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Keywords: Embedded systems, multiprocessor, discrete particle swarm optimization, energy reduction, dynamic voltage scaling
Abstract: Airway transportation is the fastest type of transportation. Advances in aviation technologies, planes’ increased speed, and the large number of companies in the airway transportation sector cause rising competition and lower prices. In such an important sector, each type of investment has to be feasible and logical, e.g. airport location, aircraft purchase, services, crews and their assignment, etc. Whether purchasing, renting or chartering aircraft, airline companies’ biggest cost is the maintenance of their fleet. For this reason, in this paper we study the purchase of aircraft in a Turkish airline company using fuzzy numbers. Multi criteria-decision making techniques, fuzzy ANP…and Choquet integral methods are used for evaluation and the results of both algorithms are compared by using fuzzy AHP. The main contribution of this paper is to determine the interdependency among main criteria and subcriteria, the nonlinear relationship among them and the environmental uncertainties. To the authors’ knowledge, this will be the first study which compares the results of fuzzy ANP and Choquet integral methods using fuzzy AHP.
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Abstract: This paper presents a new multiobjective genetic programming (MOGP) approach, to realize an all-in-one automatic nonlinear system design (NSD). The nonlinear system design is here modeled as a multiobjective optimization problem (MOP) to solve parameter estimation, structure optimization and feature selection simultaneously. The novel MOGP method is then proposed to rank individuals according to the ‘compromise distance’ between them, which has the benefit of combining decision making for NSD with the optimization process to get the final compromise solution in a single process. The effectiveness of the proposed learning approach for nonlinear system design is verified through experiments on the…classical nonlinear autoregressive with extra inputs (NARX) system by comparison with classical aggregating method and a Pareto-based method for MOP. Finally, experimental results demonstrate the proposed approach is available to explore the unknown structure of nonlinear systems as well as the features and parameters with high accuracy and efficiency.
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Abstract: In this paper, we first introduce the concept of quasi-coincidence of an intuitionistic fuzzy point within an intuitionistic fuzzy set. By using this new idea, we further introduce the notions of (∈, ∈ ∨ q )-intuitionistic fuzzy BCI -subalgebras of BCI-algebras and investigate some of their related properties. Some characterization theorems of these generalized intuitionistic fuzzy BCI -subalgebras are derived. Then we study the cartesian product of (∈, ∈ ∨ q )-intuitionistic fuzzy BCI -subalgebras. Finally, we introduce the homomorphism of intuitionistic fuzzy BCI -algebras, and prove that image and inverse image of an intuitionistic fuzzy set on a BCI -algebra should be an…(∈, ∈ ∨ q )-intuitionistic fuzzy BCI -subalgebra on the basis of homomorphism of BCI -algebra.
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Abstract: Kumar and Kaur [A. Kumar and J. Kaur Fuzzy optimal solution of fully fuzzy linear programming problems using ranking function. Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology, 26 (1)(2014), 337–344.] proposed a method to find the fuzzy optimal solution of fully fuzzy linear programming (FFLP) problems with mixed constraints. They claimed that the FFLP problem with mixed constraints in which decision variables are represented by nonnegative triangular fuzzy numbers and the remaining parameters are represented by any type of triangular fuzzy numbers cannot be solved by any of the existing methods while all such FFLP…problems can be solved by using their proposed method. In this paper, it is showed that the infeasibility case of the FFLP cannot be handled by the Kumar and Kaur’s method. We have provided an extension to the method of Kumar and Kaur [A. Kumar and J. Kaur Fuzzy optimal solution of fully fuzzy linear programming problems using ranking function. Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology, 26 (1)(2014), 337–344.] to find fuzzy optimal solution to the feasible case and approximate fuzzy optimal solution to the infeasible case of FFLP problem with mixed constraints. To the best of our knowledge, there does not exist any study which deals with the infeasibility case of FFLP problem.
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Keywords: Fully fuzzy linear programming problem (FFLP), triangular fuzzy numbers, ranking function, infeasibility
Abstract: In this study, two induced generalized dual hesitant fuzzy hybrid operators called the induced generalized dual hesitant fuzzy Shapley hybrid weighted averaging (IG-DHFSHWA) operator and the induced generalized dual hesitant fuzzy Shapley hybrid geometric mean (IG-DHFSHGM) operator are defined. These operators not only globally consider the importance of the elements and their ordered positions, but also overall reflect their correlations. Furthermore, when the weight information about attributes and ordered positions is partly known, using similarity measure analysis (SMA) method and the Shapley function models for the optimal fuzzy measures on an attribute set and on an ordered set are respectively…established. Then, an approach to multi-attributes decision making with incomplete weight information and interactive conditions under dual-hesitant fuzzy environment is developed. Finally, a practical example for green supplier evaluation problem with dual hesitant fuzzy information is employed to verify the developed approach and to demonstrate its practically and effectiveness.
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Abstract: In this study, a group structure on bipolar soft sets called bipolar soft group is constructed and some of its properties are investigated. Also, (α , β )-level set of a bipolar soft set is defined and some of its properties are obtained.
Abstract: A simplified neutrosophic set (SNS) is a subclass of neutrosophic set and contains a single-valued neutrosophic set (SVNS) and an interval neutrosophic set (INS). It was proposed as a generalization of an intuitionistic fuzzy set (IFS) and an interval-valued intuitionistic fuzzy set (IVIFS) in order to deal with indeterminate and inconsistent information. The paper proposes another form of the Dice measures of SNSs and the generalized Dice measures of SNSs and indicates that the Dice measures and asymmetric measures (projection measures) are the special cases of the generalized Dice measures in some parameter values. Then, we develop the generalized Dice…measures-based multiple attribute decision-making methods with simplified neutrosophic information. By the weighted generalized Dice measures between each alternative and the ideal solution (ideal alternative) corresponding to some parameter value required by decision makers’ preference, all the alternatives can be ranked and the best one can be obtained as well. Finally, a real example on the selection of manufacturing schemes demonstrates the applications of the proposed decision-making methods under simplified neutrosophic environment. The effectiveness and flexibility of the proposed decision-making methods are shown by choosing different parameter values.
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Abstract: Entropy is used to measure the uncertain degree of fuzzy sets and has been widely used in many fields. This paper introduces an axiomatic definition of entropy measure and a novel entropy formula for hesitant fuzzy elements (HFEs). Afterwards, a general form of entropy measures for HFEs is proposed, from which a family of concrete entropy formulas for HFEs can be derived. Compared with the existing ones, these formulas can measure both fuzziness and hesitation of HFEs, as a result, the uncertain information can be described in a more appropriate manner. The proposed axiomatic definition and entropy formulas are used…to define the entropy measure for hesitant fuzzy sets. A multi-criteria decision making model which uses the proposed entropy measures for HFEs to compute the criteria weights and obtain a ranking of alternatives is introduced.
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