伪BCI-代数中的犹豫模糊交换滤子与犹豫模糊闭滤子

On the Hesitant Fuzzy Commutative Filters and Hesitant Fuzzy Closed Filters in Pseudo BCI-algebras

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.

Abstract:
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.