伪BE代数的双极值模糊滤子  

Bipolar fuzzy filters of pseudo BE algebras

作　　者：姜曼[1] JIANG Man(School of Public Courses,Xi'an Traffic Engineering Institute,Xi'an 710300,China)

机构地区：[1]西安交通工程学院公共课部,陕西西安710300

出　　处：《安徽大学学报(自然科学版)》2025年第1期19-26,共8页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11071178);陕西数理基础科学研究项目(23JSQ058)。

摘　　要：把双极值模糊集与伪BE代数相结合,首先在伪BE代数中给出了双极值模糊滤子的概念并讨论其性质,研究了双极值模糊集是双极值模糊滤子的条件;其次在伪BE代数中定义了双极值模糊交换滤子;最后讨论了双极值模糊滤子与双极值模糊交换滤子的关系.In this paper,the bipolar fuzzy sets with pseudo BE algebras were combined.Firstly,the concept of bipolar fuzzy filters in pseudo BE algebras was given and their properties were discussed.We studied the conditions under which bipolar fuzzy sets are bipolar fuzzy filters;secondly,the bipolar fuzzy commutative filter was defined in pseudo BE algebra;finally,the relationship between bipolar fuzzy filter and bipolar fuzzy commutative filter was discussed.

关 键 词：伪BE代数 双极值模糊集 双极值模糊滤子 双极值模糊交换滤子 

分 类 号：O159[理学—数学]