(G,N)-余蕴涵的性质及其刻画  

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

作　　者：王玉焕 王小霞[1] 高佳欣 刘生云 WANG Yuhuan;WANG Xiaoxia;GAO Jiaxin;LIU Shengyun(College of Mathematics and Computer Science,Yan’an University,Yan’an,Shaanxi 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《内江师范学院学报》2024年第10期47-51,57,共6页Journal of Neijiang Normal University

基　　金：国家自然科学基金项目(12261090);陕西省自然科学基础研究项目(2018JM1042)。

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.Fuzzy implication is the extension of classical logical implication,and the structure and equivalent characterization 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 

分 类 号：O159[理学—数学]