NDLI: Double threshold construction method for attribute-induced three-way concept lattice in incomplete fuzzy formal context

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Double threshold construction method for attribute-induced three-way concept lattice in incomplete fuzzy formal context

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Double threshold construction method for attribute-induced three-way concept lattice in incomplete fuzzy formal context

Content Provider	IET Digital Library
Author	Long, Binghan Xu, Weihua Zhang, Xiaoyan
Abstract	Concept lattice theory is the basis of formal concept analysis. It is an effective tool for knowledge representation and discovery. Three-way decision theory is a new decision theory based on rough sets and decision rough sets. In this study, a method is proposed for constructing attribute-induced three-way concept lattices in an incomplete fuzzy formal context. First, the authors introduce the related knowledge of the classical formal context, the fuzzy formal context and incomplete fuzzy formal context in detail. They put forward a method to fill the incomplete formal context. Secondly, they propose a double threshold operation, which divides the relationship between objects and attributes into three parts: belonging, not belonging and undetermined. Thirdly, they propose three methods to complement incomplete formal context and introduce their advantages and disadvantages. Fourthly, they deal with incomplete formal context by special symbol completion method and get related algorithms of attribute-induced three-way concept lattice. Finally, a case is given to verify the effectiveness of the algorithm for constructing attribute-induced three-way concept lattices.
Starting Page	549
Ending Page	554
Page Count	6
Volume Number	2020
e-ISSN	20513305
Issue Number	Issue 13, Jul (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/joe/2020/13
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/joe.2019.1168
Journal	The Journal of Engineering
Publisher	The Institution of Engineering and Technology
Publisher Date	2020-01-13
Access Restriction	Open
Rights License	Creative Commons Attribution-Non Commercial-No Derivs License (http://creativecommons.org/licenses/by-nc-nd/3.0/)
Subject Keyword	Classical Formal Context Combinatorial Mathematics Concept Lattice Constructing Attribute-induced Three-way Data Handling Technique Data Mining Decision Rough Sets Decision Theory Double Threshold Construction Method Formal Concept Analysis Fuzzy Set Theory Incomplete Formal Context Incomplete Fuzzy Formal Context Knowledge Engineering Technique Knowledge Representation Lattice Theory Lattice Theory And Statistics; Ising Problem Rough Set Theory
Content Type	Text
Resource Type	Article

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