Your search for: 'author:("Yager, Ronald R.")' has returned 23 results. (0.058s) Save search

Authors: Yager, Ronald R.

Article Type: Research Article

Abstract: We discuss matrix associative memories. We also introduce holographic matrix associative memories. We show how the first class allows for interpolation while the holographic kind does not. We provide a general class of matrix associative memories that allows us to move between these two extremes. We next look at fuzzy associative memories and introduce a general fuzzy holographic memory. Finally, we describe a number of methods for measuring the degree of association between an input and a primary memory stimulus.

DOI: 10.3233/IFS-1993-1105

Citation: Journal of Intelligent and Fuzzy Systems, vol. 1, no. 1, pp. 43-53, 1993

Authors: Yager, Ronald R.

Article Type: Research Article

Abstract: Knowledge representation plays a fundamental role in the construction of artificial intelligence for modeling commonsense reasoning. We emphasize the role fuzzy logic can play in extending some of the models of AI. Some basic ideas from the fuzzy set based theory of approximate reasoning are introduced. We then discuss two extensions of the theory of approximate reasoning, possibilistic logic and effectation logic.

Citation: Journal of Intelligent and Fuzzy Systems, vol. 7, no. 1, pp. 27-45, 1999

Authors: Yager, Ronald R.

Article Type: Research Article

Abstract: Consonant belief structures provide a representation for fuzzy sets because their plausibility measures are possibility measures. However, in general the aggregation of these consonant belief structures are not consonant, not fuzzy sets. In this article, we attempt to overcome this problem. We first note that two belief structures are equivalent if their plausibility and belief functions are equal. This observation allows us to provide different equivalent representations for any belief structure. This allows us to induce for different consonant belief structures commensurate representations. We show that if we represent two consonant belief structures in a commensurate manner their aggregations are …also consonant if we impose the additional requirement that the underlying probability distributions satisfy the condition of synonyminity, that is, they are completely correlated. The results of this work allow us to use belief structure representations to manipulate fuzzy subsets. Show more

DOI: 10.3233/IFS-1993-1303

Citation: Journal of Intelligent and Fuzzy Systems, vol. 1, no. 3, pp. 215-224, 1993

Authors: Yager, Ronald R.

Article Type: Research Article

Abstract: A new form of uncertainty called possibilistic uncertainty is introduced. As opposed to probabilistic uncertainty, which is based upon an additive measure and is applicable in cases of repeated experiments, possibilistic uncertainty is based upon a non-additive measure and is a generalization of the idea of ease of attainment in a situation. We discuss the properties of possibilistic uncertainty and describe some prototypical examples. We also discuss the idea of language as being a generator of possibilistic variables. We introduce fuzzy subsets as a means of translating linguistic values into possibility distributions and the idea of approximate reasoning as a …means of simulating a large class of human reasoning operations. We introduce a measure of specificity of a possibility distribution and discuss applications of fuzzy set theory to intelligent quering of data bases and multiple criteria decision making. Finally, we introduce some ideas from fuzzy arithmetic. Show more

Keywords: Linguistic information, uncertainty, fuzzy sets, multiple criteria, approximate inference

DOI: 10.3233/HSM-1982-3404

Citation: Human Systems Management, vol. 3, no. 4, pp. 246-269, 1982

Authors: Yager, Ronald R. | Kelman, Antoine

Article Type: Research Article

Abstract: We present a general way to select an optimal alternative when there is some uncertainty about the state of the world. It is shown how this method can be applied whatever the uncertainty representation used to model the information about the state of nature: probability distribution, fuzzy set, possibility distribution, a Dempster–Shafer belief structure, or a fuzzy Dempster–Shafer structure. In this general formulation, we show the role of the OWA operators to model the decision maker's attitude.

DOI: 10.3233/IFS-1995-3407

Citation: Journal of Intelligent and Fuzzy Systems, vol. 3, no. 4, pp. 317-323, 1995

Authors: Yager, Ronald R. | Kreinovich, Vladik

Article Type: Research Article

Abstract: In this paper, we develop a relationship between two approaches to combining evidence: the Ordered Abelian Group (OAG) approach and the uninorm approach. We show that while there exist uninorms that are not extended OAG's it turns out that for operations which are continuous (in some reasonable sense), these two approaches coincide.

Citation: Journal of Intelligent & Fuzzy Systems, vol. 14, no. 1, pp. 7-12, 2003

Authors: Rasmussen, Dan | Yager, Ronald R.

Article Type: Research Article

Abstract: The increasing use of computers for transactions and communication have created mountains of data that contain potentially valuable knowledge. To search for this knowledge we have to develop a new generation of tools, which have the ability of flexible querying and intelligent searching. In this paper we will introduce an extension of a fuzzy query language called Summary SQL which can be used for knowledge discovery and data mining. We show how it can be used to search for fuzzy rules.

Keywords: Knowledge discovery, Data mining, Fuzzy query, Linguistic summary, Fuzzy rules

DOI: 10.3233/IDA-1997-1104

Citation: Intelligent Data Analysis, vol. 1, no. 1, pp. 49-58, 1997

Authors: Yager, Ronald R. | Kelman, Antoine

Article Type: Research Article

Abstract: The Analytical Hierarchy Process (AHP) provides a comprehensive methodology for the solution of multicriteria decision problems which makes considerable use of comparison generated importances to help in the aggregation of lower order concepts in the formulation of higher order concepts. We introduce an extension of the Analytical Hierarchy Process using the Ordered Weighted Averaging (OWA) operators. This extension, which generalizes the aggregation process used in the AHP, allows more flexibility in the formulation of higher order concepts and provides the AHP an even greater facility for modeling human decision making. Using the OWA operators we are able to model situations …where the number of sub-criteria needed to satisfy a higher order concept can be expressed in terms of linguistic quantifiers. Show more

Citation: Journal of Intelligent and Fuzzy Systems, vol. 7, no. 4, pp. 401-417, 1999

Authors: Senapati, Tapan | Yager, Ronald R.

Article Type: Research Article

Abstract: Fermatean fuzzy sets (FFSs), proposed by Senapati and Yager (2019a), can handle uncertain information more easily in the process of decision making. They defined basic operations over the Fermatean fuzzy sets. Here we shall introduce three new operations: subtraction, division, and Fermatean arithmetic mean operations over Fermatean fuzzy sets. We discuss their properties in details. Later, we develop a Fermatean fuzzy weighted product model to solve the multi-criteria decision-making problem. Finally, an illustrative example of selecting a suitable bridge construction method is given to verify the approach developed by us and to demonstrate its practicability and effectiveness.

Keywords: Fermatean fuzzy set, subtraction operation, division operation, Fermatean arithmetic mean operation, multiple criteria decision making (MCDM), weighted product model (WPM)

Citation: Informatica, vol. 30, no. 2, pp. 391-412, 2019

Authors: Lee, Chul-Heui | Yager, Ronald R.

Article Type: Research Article

Abstract: A new variable step size least mean squares (LMS) algorithm using fuzzy logic (FVSS-LMS) is presented. The change of the step size at each iteration, which increases or decreases according to the degree of misadaption, is computed by a proportional fuzzy logic controller. As a result the algorithm has very good convergence speed while preserving low misadjustment. The norm of the cross correlation between the estimation error and input data is used as a measure of misadaption. Simulation results are presented to verify the performance of the proposed algorithm.

DOI: 10.3233/IFS-1996-4202

Citation: Journal of Intelligent and Fuzzy Systems, vol. 4, no. 2, pp. 101-106, 1996

Authors: Yager, Ronald R. | Filev, Dimitar P.

Article Type: Research Article

Abstract: We develop, based upon the mountain clustering method, a procedure for learning fuzzy systems models from data. First we discuss the mountain clustering method. We then show how it could be used to obtain the structure of fuzzy systems models. The initial estimates of this model are obtained from the cluster centers. We then use a back propagation algorithm to tune the model.

DOI: 10.3233/IFS-1994-2301

Citation: Journal of Intelligent and Fuzzy Systems, vol. 2, no. 3, pp. 209-219, 1994

Authors: Yager, Ronald R. | Filev, Dimitar P.

Article Type: Research Article

Abstract: A methodology is suggested here for the development of fuzzy systems models that is a combination of the AI-expert systems approach, with its heavy dependence on the use of expert knowledge, and the neural network-type systems building, with its emphasis on learning from data observations. We use expert-provided information in the form of template linguistic values to induce potential elemental rules for the knowledge base of the system model. We then introduce input-output observations into a simple learning mechanism to obtain weights characterizing the effect of each of the potential elemental rules on the overall systems model. The development of …the learning mechanism is based on a representation of systems models combining fuzzy logic and Dempster-Shafer theory, which we previously introduced. Show more

DOI: 10.3233/IFS-1994-2103

Citation: Journal of Intelligent and Fuzzy Systems, vol. 2, no. 1, pp. 39-54, 1994

Authors: Jin, LeSheng | Chen, Zhen-Song | Yager, Ronald R. | Langari, Reza

Article Type: Research Article

Abstract: This letter reports a new type of uncertain information that is different from some well known existing uncertain information, such as probability information, fuzzy information, interval information and basic uncertain information. This type of uncertain information allows some specified compromise in interacting decision environments and gives some acceptance area when facing with uncertainties. We firstly introduce the cognitive interval information and then naturally propose the cognitive uncertain information as an extension. The featured acceptance area provides more flexibility in uncertain information handling and it can be regarded as some specified uncertain range (versus the certainty degree in basic uncertain information). …The new proposals have advantages in some uncertain decision making scenarios where intersubjectivity and interaction of decision makers play important roles. Besides, some basic structural properties are briefly discussed. Moreover, some motivational examples are presented to show its usage in group decision making to help automatically obtain consistency or consensus in aggregating the different individual evaluations. Show more

Keywords: Cognitive interval information, cognitive uncertain information, decision making, group decision making, information fusion, uncertain information

DOI: 10.3233/JIFS-223119

Citation: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 6, pp. 9411-9418, 2023

Authors: Fan, Liu | Yager, Ronald R. | Mesiar, Radko | Jin, LeSheng

Article Type: Research Article

Abstract: The evaluation for online shopping platform is the basis for further decision and policy taking. The collected individual opinion and evaluation information are often represented by some linguistic/preference vectors. Further aggregating those vector needs to simultaneously consider two contradictory factors: the original weights assigned and the inconsistencies involved which requires some new weights assigned. Around those weights allocation factors, to mitigate the negative effect of inconsistency in the collected information, we propose an integrated evaluation model. The model uses the scatter degree as a main indicator, and extends some weights allocation methods such as regular increasing monotone (RIM) quantifier based …weights allocation in a new environment, and applies the three sets expression based paradigm and formulation. The proposed model is able to simultaneously give emphasis on those input data with high consistency and to consider the preferences of decision makers. Some detailed evaluation processes and numerical examples are also provided for practitioners to refer to. Show more

Keywords: Aggregation operators, evaluation for online shopping platform, information fusion, multi-criteria decision making, weights adjustment and allocation

DOI: 10.3233/JIFS-201376

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 5, pp. 7921-7930, 2020

Authors: Liu, Jing | Zhang, ErZi | Ma, Chao | Yager, Ronald R. | Senapati, Tapan | Yatsalo, Boris | Jin, LeSheng

Article Type: Research Article

Abstract: In many multi criteria group decision making problems, the individual evaluation values offered by experts are with uncertainties. Therefore, when assigning weights to those experts using preferences induced weights allocation, we can have two types of bi-polar preferences. The first one is the optimism-pessimism preference over evaluation values; the second one is the uncertainty aversion preference over the attached numerical certainty/uncertainty degrees. When performing preferences induced weights allocation, the certainty/uncertainty degrees will affect the optimism-pessimism preference induced weights allocation because the magnitudes of those evaluation values might not be the exact ones. Moreover, the importance of those experts in multi …criteria group decision making can also have influence over the two types of preference induced weights allocation processes, and the importance can also be with uncertainties and can be expressed using basic uncertain information. Therefore, to handle this situation with multiple inducing variables and uncertainties, we simultaneously consider the influence of the uncertainties attached to evaluation values and the influence of uncertain importance of experts, and thus we at the same time adopt the method of confidence threshold and the method of uncertain importance level function to propose some synthesized method to adjust the induced weights allocation processes. We also propose a complete multi criteria group decision making problems to show the feasibility and reasonability of the proposed decision model for the complex situation where both evaluation values and expert importance are expressed by basic uncertain information. Show more

Keywords: Aggregation operators, basic uncertain information, induced ordered weighted averaging operators, information fusion, multi criteria group decision making, uncertain decision making

DOI: 10.3233/JIFS-222590

Citation: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 5, pp. 8573-8583, 2023

Authors: Ma, Chao | Yager, Ronald R. | Liu, Jing | Yatsalo, Boris | Garg, Harish | Senapati, Tapan | Jin, LeSheng

Article Type: Research Article

Abstract: Uncertainty exists in numerous evaluation and decision making problems and therefore it also provides space for the subjective preferences of decision makers to affect the aggregation and evaluation results. Recently, relative basic uncertain information is proposed to further generalize basic uncertain information, but currently there is no research on how to apply this type of uncertainty in both theory and practices. There is also a paucity of decision methodology about how to build systematic preference involved decision model considering this new type of uncertainty. The relative basic uncertain information can serve as a general frame to enable the possibility for …simultaneously handling heterogeneous uncertain information including interval information, basic uncertain information, and relative basic uncertain information. Different types of bipolar subjective preferences commonly should be taken into consideration in practical decision making. With the individual heterogeneous uncertain information and the involved two types of subjective preferences, namely bipolar preferences for uncertainties and bipolar optimism-pessimism preferences, the evaluation and decision making become more complex. This work proposes a systematic intersubjective decision model which can effectively and reasonably deal with the decision scenario with such complex uncertainty, in which Yager preference induced weights allocation is applied. Some novel preference conversion and transformation functions, specified techniques, and the related decision making procedures and sub-modules are proposed and analyzed. An application is also presented to showthe practicality of the proposed decision models and related conversion and transformation functions. Show more

Keywords: Basic uncertain information, decision making, information fusion, relative basic uncertain information, uncertain decision making, Yager induced weights allocation

DOI: 10.3233/JIFS-231395

Citation: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 6, pp. 11535-11547, 2023

Authors: Wang, Zhen | Jin, LeSheng | Yager, Ronald R. | Mesiar, Radko | Kalina, Martin | Špirková, Jana | Borkotokey, Surajit

Article Type: Research Article

Abstract: We study the Yager OWS aggregation and the Irregular normalized Yager OWA aggregation under infinite environment. Two evaluation problems are proposed to motivate their applications. Few distinguishing properties are discussed. We show that such aggregations use the same type of weights, infinite weights (sequence), to embody the involved preferences. Their respective applications in the fields of Scientometrics and Gradual Confidence Aggregation are proposed and analyzed.

Keywords: Aggregation function, Decision making, evaluation, Infinite Ordered Weighted Sum, OWA operators

DOI: 10.3233/JIFS-181291

Citation: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2787-2792, 2019

Authors: Jin, LeSheng | Yager, Ronald R. | Chen, Zhen-Song | Mesiar, Mesiar | Bustince, Humberto

Article Type: Research Article

Abstract: Motivated by a specific decision-making situation, this work proposes the concept and definition of unsymmetrical basic uncertain information which is a further generalization of basic uncertain information and can model uncertainties in some new decision-making situations. We show that unsymmetrical basic uncertain information in some sense can model linguistic hedges such as “at least” and “at most”. Formative weighted arithmetic means and induced aggregations are defined for the proposed concept. Rules-based decision making and semi-copula based integral for this concept with some numerical examples are also presented.

Keywords: Aggregation operators, basic uncertain information, evaluation, information fusion, integral, uncertainty, unsymmetrical basic uncertain information

DOI: 10.3233/JIFS-220593

Citation: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 4, pp. 4457-4463, 2022

Authors: Jin, LeSheng | Yager, Ronald R. | Špirková, Jana | Mesiar, Radko | Paternain, Daniel | Bustince, Humberto

Article Type: Research Article

Abstract: Basic Uncertain Information (BUI) as a newly introduced concept generalized a wide range of uncertain information. The well-known Ordered Weighted Averaging (OWA) operators can flexibly and effectively model bipolar preferences of decision makers over given real valued input vector. However, there are no extant methods for OWA operators to be carried out over given BUI vectors. Against this background, this study firstly discusses the interval transformation for BUI and elaborately explains the reasonability within it. Then, we propose the corresponding preference aggregations for BUI in two different decisional scenarios, the aggregation for BUI vector without original information influencing and the …aggregation for BUI vector with original information influencing after interval transformation. For each decisional scenario, we also discuss two different orderings of preference aggregation, namely, interval-vector and vector-interval orderings, respectively. Hence, we will propose four different aggregation procedures of preference aggregation for BUI vector. Some illustrative examples are provided immediately after the corresponding aggregation procedures. Show more

Keywords: Aggregation function, basic uncertain information (BUI), decision-making, interval information, ordered weighted averaging (OWA) operator

DOI: 10.3233/JIFS-201374

Citation: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 3, pp. 4535-4544, 2021

Authors: Zhu, Cheng | Mesiar, Radko | Yager, Ronald R. | Merigo, Jose | Qin, Jindong | Feng, Xiangqian | Jin, Lesheng

Article Type: Research Article

Abstract: In this work, we propose some two-layer preference models that can be appropriately applied in management problems such as the group decision making about predicting the future market share of certain product. By introducing the convex IOWA operator paradigm and some related properties and definitions, we list some detailed preference and inducing preference models to demonstrate and exemplify the proposed conceptual frame of two-layer preference model. The convex IOWA operator paradigm facilitates the modeling process and, from mathematical view, makes it stricter. When relevant inducing information and aggregation selection change, the proposed models can be easily adapted to accommodate more …different applications in decision making and evaluation. Show more

Keywords: Aggregation operators, decision making, induced aggregation, ordered weighted averaging operators, orness/andness, preference model

DOI: 10.3233/JIFS-182671

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 1213-1221, 2019

Authors: Fan, Liu | Špirková, Jana | Mesiar, Radko | Yager, Ronald R. | Jin, LeSheng

Article Type: Research Article

Abstract: This work firstly proposes some weight adjusting and preference interfering methods to generate more suitable weight vector in two-tier multi-criteria decision making. The proposed models simultaneously consider the original weight information and subjective preferences of decision makers under interval numbers based evaluation environments. A recently proposed weights allocation method based on convex poset is applied to determine the weight vectors from subjective preferences. With well adjusted and melted weight information, some fuzzy comprehensive evaluations are realized by applying Shilkret Integrals with melted preferences. A numerical example with corresponding decision rules for online shop evaluation problem is also presented for practitioners …to refer to. Show more

Keywords: Aggregation operators, evaluation, information fusion, multi-criteria decision making, weights adjustment

DOI: 10.3233/JIFS-200123

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 1, pp. 1361-1369, 2020

Authors: Yang, RouJian | Jin, LeSheng | Paternain, Daniel | Yager, Ronald R. | Mesiar, Radko | Bustince, Humberto

Article Type: Research Article

Abstract: In decision making, very often the data collected are with different extents of uncertainty. The recently introduced concept, Basic Uncertain Information (BUI), serves as one ideal information representation to well model involved uncertainties with different extents. This study discusses some methods of BUI aggregation by proposing some uncertainty transformations for them. Based on some previously obtained results, we at first define IOWA operator with poset valued input vector and inducing vector. The work then defines the concept of uncertain system, on which we can further introduce the multi-layer uncertainty transformation for BUI. Subsequently, we formally introduce MUT_IOWA aggregation procedure, which …has good potential to more and wider application areas. A numerical example is also offered along with some simple usage of it in decision making. Show more

Keywords: Aggregation function, BUI aggregation, decision making, evaluation, OWA operators, uncertain decision making

DOI: 10.3233/JIFS-191106

Citation: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 1, pp. 325-332, 2020

Authors: León-Castro, Ernesto | Espinoza-Audelo, Luis F. | Merigó, José M. | Gil-Lafuente, Anna M. | Yager, Ronald R.

Article Type: Research Article

Abstract: This paper introduces the ordered weighted average inflation (OWAI). The OWAI operator aggregates the information of a set of inflations and provides a range of scenarios from the minimum and the maximum inflation. The advantage of this approach is that it can provide a flexible inflation formula that can be adapted to the specific characteristics of the enterprise, region, state or country. Therefore, the novelty of this operator is that experts can forecast the information and provide optimistic or pessimistic results of the expected average inflation according to the knowledge, aptitude or expectations for the whole country or an event …that represents a specific sector, market or industry. The paper develops several extensions by using the induced, heavy and prioritized aggregation operators. The work studies the applicability of the operator to the analysis of Mexican inflation by developing some aggregation systems that consider the average inflation of Mexico. Show more

Keywords: Inflation, induced aggregation operators, economics, Mexico

DOI: 10.3233/JIFS-190442

Citation: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 2, pp. 1901-1913, 2020