摘要
首先,提出伪BCI-代数中的犹豫模糊反群滤子的概念,给出了它的性质与等价刻画.其次,引入了伪BCI-代数中的犹豫模糊交换滤子和犹豫模糊闭滤子的概念,研究它们的基本性质和等价条件,讨论犹豫模糊交换滤子与犹豫模糊反群滤子之间的关系,给出了犹豫模糊滤子成为犹豫模糊闭反群滤子的充分必要条件.
Firstly,the concept of hesitant fuzzy anti-grouped filter in Pseudo BCI-algebra is proposed,and its properties and equivalent portrayals are given.Secondly,the concepts of hesitant fuzzy commutative filters and hesitant fuzzy closed filters in pseudo BCI-algebras are introduced,and their basic properties and equivalent conditions are investigated.The relationship between hesitant fuzzy commutative filters and hesitant fuzzy anti-grouped filters is discussed.Finally,some necessary and sufficient conditions for a hesitant fuzzy filter to be a hesitant fuzzy closed anti-grouped filter are derived.
作者
彭家寅
PENG Jiayin(School of Mathematics and Information Science,Neijiang Normal University,Neijiang,Sichuan 641199,China)
出处
《内江师范学院学报》
2018年第12期48-54,共7页
Journal of Neijiang Normal University
基金
国家自然科学基金(11071178)
教育部数学与应用数学专业综合改革(ZG0464)
四川省科技厅重点科技项目(2006J13-035)
四川省数学与应用数学专业综合改革(01249)
关键词
伪BCI-代数
犹豫模糊交换滤子
犹豫模糊闭滤子
犹豫模糊反群滤子
pseudo BCI-algebra
hesitant fuzzy commutative filter
hesitant fuzzy closed filter
hesitant fuzzy anti-grouped filter
