基于e-阈值生成模糊蕴涵的新方法  

A new method of generating fuzzy implication based on e-threshold

作　　者：张程 覃锋[2] ZHANG Cheng;QIN Feng(School of Mathematics and Statistics,Jiangxi Normal University,Nanchang 330022,Jiangxi,China;Jiangxi Provincial Center for Applied Mathematics,Jiangxi Normal University,Nanchang 330022,Jiangxi,China)

机构地区：[1]江西师范大学数学与统计学院,江西南昌330022 [2]江西师范大学江西省应用数学中心,江西南昌330022

出　　处：《云南大学学报（自然科学版）》2024年第3期411-421,共11页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(12371459,12331016);江西省自然科学基金(20232ACB201002,20224BCD41001)。

摘　　要：借助e-阈值和2个给定的模糊蕴涵,提出了一种构造模糊蕴涵的新方法;然后研究了新构造的模糊蕴涵的性质,接着揭示了与其它e-阈值生成模糊蕴涵的关系;最后,将这种构造方法推广到一族模糊蕴涵上,研究了它的一些性质并对它进行了刻画.With the help of e-threshold and two given fuzzy implications,a new method of constructing fuzzy implications is proposed.Then the properties of the newly constructed fuzzy implication are studied and the relationship with other e-threshold generated fuzzy implications are revealed.Finally,we extend this construction method to a family of fuzzy implications and study its properties and characterization.

关 键 词：模糊连接词 模糊蕴涵 e-阈值生成蕴涵 

分 类 号：O159[理学—数学]