Fuzzy蕴涵代数的犹豫模糊滤子  

Hesitant Fuzzy Filters in Fuzzy Implication Algebras

作　　者：刘春辉[1] LIU Chun-hui(Department of Mathematics and Statistics, Chifeng University, Chifeng 024001, China)

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024001

出　　处：《模糊系统与数学》2018年第3期29-37,共9页Fuzzy Systems and Mathematics

基　　金：内蒙古自治区高等学校科学研究项目(NJSY14283)

摘　　要：本文运用犹豫模糊集的方法和原理研究Fuzzy蕴涵代数的滤子问题。引入了Fuzzy蕴涵代数的犹豫模糊滤子概念,给出了犹豫模糊滤子的若干性质,获得了犹豫模糊滤子的若干等价刻画,讨论了犹豫模糊滤子与滤子间的关系。In this paper,we study the problem of filters in Fuzzy implication algebras by using the method and principle of hesitant fuzzy sets.The notion of hesitant fuzzy filters of fuzzy implication algebras is introduced.Some properties of hesitant fuzzy filters are investigated.Some equivalent characterizations of hesitant fuzzy filters are obtained.The relation between hesitant fuzzy filter and filter is discussed.

关 键 词：模糊逻辑 FUZZY蕴涵代数 滤子 犹豫模糊滤子 

分 类 号：O141[理学—数学] O153[理学—基础数学]