The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent Decision Formal Context

Concept lattice has been successfully applied to various fields as an effective tool for data analysis and knowledge discovery, with attribute reduction being the key problem. This paper combines the intuitionistic fuzzy theory with the concept lattice theory and proposes one kind of concept lattice...

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Main Authors: Binbin Sang, Binghan Long, Jinzhong Pang, Weihua Xu
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/21/3/262
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author Binbin Sang
Binghan Long
Jinzhong Pang
Weihua Xu
author_facet Binbin Sang
Binghan Long
Jinzhong Pang
Weihua Xu
author_sort Binbin Sang
collection DOAJ
description Concept lattice has been successfully applied to various fields as an effective tool for data analysis and knowledge discovery, with attribute reduction being the key problem. This paper combines the intuitionistic fuzzy theory with the concept lattice theory and proposes one kind of concept lattice in intuitionistic fuzzy generalized consistent decision formal context. Furthermore, an approach to attribute a reduction in the discernibility matrix is proposed and investigated, making the discovery of implicit knowledge easier and the representation simpler in the data system and perfecting the theory of concept lattice. Moreover, this paper studies, in detail, the algorithms and case study of data analysis in the intuitionistic fuzzy generalized consistent decision formal context. The potential value of the method to deal with information discussed in this paper, especially the value of forecasting and decision-making, is expected in future.
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spelling doaj.art-bf989b03512d4a5791801ab7886a62d32022-12-22T04:01:12ZengMDPI AGEntropy1099-43002019-03-0121326210.3390/e21030262e21030262The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent Decision Formal ContextBinbin Sang0Binghan Long1Jinzhong Pang2Weihua Xu3School of Sciences, Chongqing University of Technology, Chongqing, 400054, ChinaSchool of Sciences, Chongqing University of Technology, Chongqing, 400054, ChinaSchool of Sciences, Chongqing University of Technology, Chongqing, 400054, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaConcept lattice has been successfully applied to various fields as an effective tool for data analysis and knowledge discovery, with attribute reduction being the key problem. This paper combines the intuitionistic fuzzy theory with the concept lattice theory and proposes one kind of concept lattice in intuitionistic fuzzy generalized consistent decision formal context. Furthermore, an approach to attribute a reduction in the discernibility matrix is proposed and investigated, making the discovery of implicit knowledge easier and the representation simpler in the data system and perfecting the theory of concept lattice. Moreover, this paper studies, in detail, the algorithms and case study of data analysis in the intuitionistic fuzzy generalized consistent decision formal context. The potential value of the method to deal with information discussed in this paper, especially the value of forecasting and decision-making, is expected in future.http://www.mdpi.com/1099-4300/21/3/262attribute reductionconcept latticediscernibility matrixgeneralized consistent decision formal contextintuitionistic fuzzy set
spellingShingle Binbin Sang
Binghan Long
Jinzhong Pang
Weihua Xu
The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent Decision Formal Context
Entropy
attribute reduction
concept lattice
discernibility matrix
generalized consistent decision formal context
intuitionistic fuzzy set
title The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent Decision Formal Context
title_full The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent Decision Formal Context
title_fullStr The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent Decision Formal Context
title_full_unstemmed The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent Decision Formal Context
title_short The Method of Data Analysis in Intuitionistic Fuzzy Generalized Consistent Decision Formal Context
title_sort method of data analysis in intuitionistic fuzzy generalized consistent decision formal context
topic attribute reduction
concept lattice
discernibility matrix
generalized consistent decision formal context
intuitionistic fuzzy set
url http://www.mdpi.com/1099-4300/21/3/262
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