Bayesian Decision Theoretic Rough Set (BDTRS) model is a significant advancement in the field of ... more Bayesian Decision Theoretic Rough Set (BDTRS) model is a significant advancement in the field of attribute reduction of an information system. However, a lack of the related software for implementing this model can be observed preventing their use in practice. In this paper, the BDTRS model for attribute reduction is further studied and implemented using R programming language as functions. These new R functions are further compared with few existing sophisticated rough set based attribute reduction methods (R functions), available within “RoughSets” package of R. For comparative analysis, secondary data sets from UCI Machine Learning repository has been used. Improved results have been achieved by the implemented BDTRS-based R functions compared to other existing functions. The implemented BDTRS model may now perform attribute reduction for high-dimensional large size practical field data sets which was not possible earlier.
Information and Communication Technology for Intelligent Systems, 2018
The Iterative Dichotomiser 3 (ID3) recursively partitions the problem domain, producing the subse... more The Iterative Dichotomiser 3 (ID3) recursively partitions the problem domain, producing the subsequent partitions as decision trees. However, the classification accuracy of ID3 decreases in dealing with very large datasets. Maximum probabilistic-based rough set (MPBRS) is a sophisticated approach for insignificant feature reduction. This paper represents an application of MPBRS on ID3 as a method for insignificant attribute elimination. The paper further investigates ID3 using Pawlak rough set and also Bayesian decision-theoretic rough set (BDTRS) for comparison. The experimental result, using R language, on datasets collected from UCI Machine-Learning repository shows that MPBRS-based ID3 induces enriched decision tree resulting in improved classification.
Abstract. In this paper our aim is to present new model on bi-polar fuzzy-rough control theory. F... more Abstract. In this paper our aim is to present new model on bi-polar fuzzy-rough control theory. Fuzzy control theory has very successful established applications in many real-life situations, while Rough control has a few. But hybridization of these two control theories arise a wider applications. For practical needs, large complex systems (such as room temperature control, stabilization of pendulum-car) are often considered where the number of input, parameter and output variable or the number of control rules become so large that it become difficult to work with this system. In this situation, Rough set can simplify the system by removing the redundant input, output and rules which give higher system efficiency.
Abstract. The aim of this paper is to introduce a new concept of pre mX open set on ordinary topo... more Abstract. The aim of this paper is to introduce a new concept of pre mX open set on ordinary topological space. Some properties of this set are studied. Also the topological structure obtained by the collection of this set is introduced.
The aim of this paper is to introduce the concept of generalized regular closed sets and study so... more The aim of this paper is to introduce the concept of generalized regular closed sets and study some of its properties . The corresponding topological space formed by the family of these sets is also studied. It may be noted that regular closed set doesn’t forms even a supra topological space. Various researchers had studied the concept of generalized closed sets and regular generalized closed sets earlier. The generalized closed set is properly placed between the generalized regular closed sets and regular generalized closed set. The connection of the topological space formed by the newly defined sets with other topological space are also discussed in this paper and some applications of this newly defined set are also shown. Mathematics Subject Classification: 54A40
Through this paper we present a new algorithm with the help of Scale Invariant Feature Transforma... more Through this paper we present a new algorithm with the help of Scale Invariant Feature Transformation (SIFT) along with fuzzy \( m_{X}^{*} \) oscillation. We propose a fuzzy based similarity measurement technique i.e. fuzzy \( m_{x}^{*} \) oscillation for providing a better precision in face recognition area. First, apply SIFT for finding key points from sketch and digital images and then select the key points for feature extraction. After feature extraction fuzzy \( m_{X}^{*} \) oscillation based classification are used for these values. For experiment we have considered two scenarios which are described in the beginning of Sect. 4. So using this proposed algorithm we will easily able to identify the correct image as an output of face sketch to photo matching. Accuracy of our algorithm describes this work piece concerned on fuzzy \( m_{X}^{*} \) oscillation has achieved its aim of recognizing the face sketches in the SIFT domain.
– In 1979, Popa introduced the notion of rare continuity. Bhattacharya introduced the concept of ... more – In 1979, Popa introduced the notion of rare continuity. Bhattacharya introduced the concept of rare set and rarelycontinuous functions. This paper is devoted to the study of upper and lower rarely- continuous
– In this paper, we Introduce the notions of pre generalized Closed set in the Tm space generated... more – In this paper, we Introduce the notions of pre generalized Closed set in the Tm space generated by X structure and investigate some of its properties for such notions. Further we study the new concept of PreClosed set. generalized
The classical Decision Tree algorithms have been around for decades and Classification and Regres... more The classical Decision Tree algorithms have been around for decades and Classification and Regression Tree (CART) is a most powerful technique among these, especially for classification and predictive analysis. But, the accuracy of CART degrades while dealing with high dimensional large data sets. Bayesian Decision Theoretic Rough Set (BDTRS) is a sophisticated rough set based method for attribute reduction. This paper represents the impact of BDTRS-based attribute reduction on CART. This paper also studies CART based on Pawlak rough set model. Experimental result, on R environment, using three different data sets shows that the BDTRS-based CART constructs improved decision tree for better classification efficiency.
In 1979, Popa introduced the notion of rare continuity. Recently Sharmistha Bhattacharya (Halder)... more In 1979, Popa introduced the notion of rare continuity. Recently Sharmistha Bhattacharya (Halder) introduced and investigated the concept of rare mX set and rarely mX continuous functions. This paper is devoted to the study of upper (and lower) rarely mX-mY-...
The aim of this paper is to introduce the concept of rare mX sets, dense mX sets and rarely mX co... more The aim of this paper is to introduce the concept of rare mX sets, dense mX sets and rarely mX continuous functions. Some properties of these sets are studied and it is shown that only the null set is both a rare mX set and an open mX set.
The aim of this paper is to construct the concept of IF weakly generalized minimal closed set in ... more The aim of this paper is to construct the concept of IF weakly generalized minimal closed set in IF topological space. Some characterization theorems and properties of this newly constructed set are studied. Also the concept of IF generalized weakly minimal closed set is introduced and some related theorems are studied.
The aim of this paper is to introduce a new concept of IF-rough oscillatory region and to show it... more The aim of this paper is to introduce a new concept of IF-rough oscillatory region and to show its application in the field of de-cision making. It is a generalization of the previous concept fuzzy-rough oscillatory region. 2010 AMS Classification: 54A40, 54A99
Bayesian Decision Theoretic Rough Set (BDTRS) model is a significant advancement in the field of ... more Bayesian Decision Theoretic Rough Set (BDTRS) model is a significant advancement in the field of attribute reduction of an information system. However, a lack of the related software for implementing this model can be observed preventing their use in practice. In this paper, the BDTRS model for attribute reduction is further studied and implemented using R programming language as functions. These new R functions are further compared with few existing sophisticated rough set based attribute reduction methods (R functions), available within “RoughSets” package of R. For comparative analysis, secondary data sets from UCI Machine Learning repository has been used. Improved results have been achieved by the implemented BDTRS-based R functions compared to other existing functions. The implemented BDTRS model may now perform attribute reduction for high-dimensional large size practical field data sets which was not possible earlier.
Information and Communication Technology for Intelligent Systems, 2018
The Iterative Dichotomiser 3 (ID3) recursively partitions the problem domain, producing the subse... more The Iterative Dichotomiser 3 (ID3) recursively partitions the problem domain, producing the subsequent partitions as decision trees. However, the classification accuracy of ID3 decreases in dealing with very large datasets. Maximum probabilistic-based rough set (MPBRS) is a sophisticated approach for insignificant feature reduction. This paper represents an application of MPBRS on ID3 as a method for insignificant attribute elimination. The paper further investigates ID3 using Pawlak rough set and also Bayesian decision-theoretic rough set (BDTRS) for comparison. The experimental result, using R language, on datasets collected from UCI Machine-Learning repository shows that MPBRS-based ID3 induces enriched decision tree resulting in improved classification.
Abstract. In this paper our aim is to present new model on bi-polar fuzzy-rough control theory. F... more Abstract. In this paper our aim is to present new model on bi-polar fuzzy-rough control theory. Fuzzy control theory has very successful established applications in many real-life situations, while Rough control has a few. But hybridization of these two control theories arise a wider applications. For practical needs, large complex systems (such as room temperature control, stabilization of pendulum-car) are often considered where the number of input, parameter and output variable or the number of control rules become so large that it become difficult to work with this system. In this situation, Rough set can simplify the system by removing the redundant input, output and rules which give higher system efficiency.
Abstract. The aim of this paper is to introduce a new concept of pre mX open set on ordinary topo... more Abstract. The aim of this paper is to introduce a new concept of pre mX open set on ordinary topological space. Some properties of this set are studied. Also the topological structure obtained by the collection of this set is introduced.
The aim of this paper is to introduce the concept of generalized regular closed sets and study so... more The aim of this paper is to introduce the concept of generalized regular closed sets and study some of its properties . The corresponding topological space formed by the family of these sets is also studied. It may be noted that regular closed set doesn’t forms even a supra topological space. Various researchers had studied the concept of generalized closed sets and regular generalized closed sets earlier. The generalized closed set is properly placed between the generalized regular closed sets and regular generalized closed set. The connection of the topological space formed by the newly defined sets with other topological space are also discussed in this paper and some applications of this newly defined set are also shown. Mathematics Subject Classification: 54A40
Through this paper we present a new algorithm with the help of Scale Invariant Feature Transforma... more Through this paper we present a new algorithm with the help of Scale Invariant Feature Transformation (SIFT) along with fuzzy \( m_{X}^{*} \) oscillation. We propose a fuzzy based similarity measurement technique i.e. fuzzy \( m_{x}^{*} \) oscillation for providing a better precision in face recognition area. First, apply SIFT for finding key points from sketch and digital images and then select the key points for feature extraction. After feature extraction fuzzy \( m_{X}^{*} \) oscillation based classification are used for these values. For experiment we have considered two scenarios which are described in the beginning of Sect. 4. So using this proposed algorithm we will easily able to identify the correct image as an output of face sketch to photo matching. Accuracy of our algorithm describes this work piece concerned on fuzzy \( m_{X}^{*} \) oscillation has achieved its aim of recognizing the face sketches in the SIFT domain.
– In 1979, Popa introduced the notion of rare continuity. Bhattacharya introduced the concept of ... more – In 1979, Popa introduced the notion of rare continuity. Bhattacharya introduced the concept of rare set and rarelycontinuous functions. This paper is devoted to the study of upper and lower rarely- continuous
– In this paper, we Introduce the notions of pre generalized Closed set in the Tm space generated... more – In this paper, we Introduce the notions of pre generalized Closed set in the Tm space generated by X structure and investigate some of its properties for such notions. Further we study the new concept of PreClosed set. generalized
The classical Decision Tree algorithms have been around for decades and Classification and Regres... more The classical Decision Tree algorithms have been around for decades and Classification and Regression Tree (CART) is a most powerful technique among these, especially for classification and predictive analysis. But, the accuracy of CART degrades while dealing with high dimensional large data sets. Bayesian Decision Theoretic Rough Set (BDTRS) is a sophisticated rough set based method for attribute reduction. This paper represents the impact of BDTRS-based attribute reduction on CART. This paper also studies CART based on Pawlak rough set model. Experimental result, on R environment, using three different data sets shows that the BDTRS-based CART constructs improved decision tree for better classification efficiency.
In 1979, Popa introduced the notion of rare continuity. Recently Sharmistha Bhattacharya (Halder)... more In 1979, Popa introduced the notion of rare continuity. Recently Sharmistha Bhattacharya (Halder) introduced and investigated the concept of rare mX set and rarely mX continuous functions. This paper is devoted to the study of upper (and lower) rarely mX-mY-...
The aim of this paper is to introduce the concept of rare mX sets, dense mX sets and rarely mX co... more The aim of this paper is to introduce the concept of rare mX sets, dense mX sets and rarely mX continuous functions. Some properties of these sets are studied and it is shown that only the null set is both a rare mX set and an open mX set.
The aim of this paper is to construct the concept of IF weakly generalized minimal closed set in ... more The aim of this paper is to construct the concept of IF weakly generalized minimal closed set in IF topological space. Some characterization theorems and properties of this newly constructed set are studied. Also the concept of IF generalized weakly minimal closed set is introduced and some related theorems are studied.
The aim of this paper is to introduce a new concept of IF-rough oscillatory region and to show it... more The aim of this paper is to introduce a new concept of IF-rough oscillatory region and to show its application in the field of de-cision making. It is a generalization of the previous concept fuzzy-rough oscillatory region. 2010 AMS Classification: 54A40, 54A99
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