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.
作者
王玉焕
王小霞
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)
出处
《内江师范学院学报》
CAS
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)。
关键词
模糊余蕴涵
模糊否定
类函数
(G
N)-余蕴涵
fuzzy coimplication
fuzzy negation
grouping function
(G,N)-coimplication
