(G,N)-余蕴涵的性质及其刻画

The properties of(G,N)-coimplication and its characterization

王玉焕 ¹王小霞 ¹高佳欣 ¹刘生云¹

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作者信息

1. 延安大学数学与计算机科学学院,陕西延安 716000
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摘要

模糊蕴涵是经典逻辑蕴涵的推广,模糊蕴涵的构造及等价刻画是当前研究的热点,而模糊余蕴涵作为模糊蕴涵的对偶算子却研究的很少.首先借助类函数G和模糊否定N构造(G,N)-余蕴涵,其次讨论了(G,N)-余蕴涵的EP、IP、NP等性质,最后给出其等价刻画.

Abstract

Fuzzy implication is the extension of classical logical implication,and the structure and equivalent characteriza-tion of fuzzy implication is the current research hotspots.However,fuzzy coimplication,as a dual operator of fuzzy implication is seldom studied.Firstly,(G,N)-coimplication is constructed from grouping functions and fuzzy negation.Secondly,the EP,IP,NP and other properties of(G,N)-coimplication are discussed.Finally,equivalent characterizations of coimplication are given.

关键词

模糊余蕴涵/模糊否定/类函数/(G,N)-余蕴涵

Key words

fuzzy coimplication/fuzzy negation/grouping function/(G,N)-coimplication

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出版年

2024

内江师范学院学报

内江师范学院

内江师范学院学报

影响因子：0.299

ISSN：1671-1785

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