Fuzzy decision implications: interpretation within fuzzy decision context

Jing Zhang; Yanhui Zhai; Deyu Li

Fuzzy decision implications: interpretation within fuzzy decision context

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Author(s): Jing Zhang¹ ; Yanhui Zhai² ; Deyu Li²
- Affiliations: 1: School of Foreign Language, Shanxi University , Taiyuan 030006, Shanxi , People's Republic of China ;
  2: Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education , School of Computer and Information Technology, Shanxi University , Taiyuan 030006, Shanxi , People's Republic of China
Source: Volume 4, Issue 4, December 2019, p. 231 – 236
DOI: 10.1049/trit.2017.0026 , Online ISSN 2468-2322

This is an open access article published by the IET, Chinese Association for Artificial Intelligence and Chongqing University of Technology under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/)

Received 23/05/2019, Accepted 09/10/2019, Revised 11/08/2019, Published 15/10/2019

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.

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