Fuzzy decision implications: interpretation within fuzzy decision context

CAAI Transactions on Intelligence Technology

article

Jing Zhang¹  Yanhui Zhai²  Deyu Li² 

[1] School of Foreign Language, Shanxi University;Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education, School of Computer and Information Technology, Shanxi University

关键词: fuzzy set theory;    fuzzy decision implication;    fuzzy decision context;    fuzzy setting;    closed fuzzy set;    fuzzy attributes;    semantical characteristic;    A0210 Algebra;    set theory;    and graph theory;    B0250 Combinatorial mathematics;    C1160 Combinatorial mathematics;    E0210E Combinatorial mathematics;   

DOI  :  10.1049/trit.2017.0026

学科分类：数学（综合）

来源: Wiley

【 摘 要 】

Fuzzy decision implication is an extension of decision implication in the fuzzy setting, serving to uncover the dependencies of fuzzy attributes. This study presents the interpretation of fuzzy decision implication in the fuzzy decision context. Specially, they will show that from fuzzy decision contexts one can obtain a closed fuzzy set of fuzzy decision implications, and the semantical characteristic of the obtained fuzzy set can be interpreted by fuzzy decision context and can be represented by some operators of fuzzy decision context. Conversely, starting from a fuzzy set of fuzzy decision implications, they can form a fuzzy decision context, from which the given fuzzy set can be derived. The result actually implies that they have constructed a correspondence between closed fuzzy sets of fuzzy decision implications and fuzzy decision contexts, and thus shows the equivalence of two interpretations of fuzzy decision implications.

【 授权许可】

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