BL-代数的反犹豫模糊子代数  

The Anti-Hesitant Fuzzy Subalgebras in BL-Algebras

作　　者：姜曼[1] JIANG Man(Department of Commonly Required Courses, Xi’an Traffic Engineering Institute, Xi’an,Shaanxi 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：《内江师范学院学报》2021年第4期26-31,共6页Journal of Neijiang Normal University

基　　金：西安交通工程学院校级中青年基金项目(20KY-40);陕西省自然科学基础研究计划(2021JQ-893)。

摘　　要：初步将犹豫模糊集应用于BL-代数中,引入了BL-代数中反犹豫模糊子代数的概念,讨论它的基本性质,得到若干等价刻画;根据犹豫模糊集的反扩张定理,讨论反犹豫模糊子代数的像与原像的关系;最后根据犹豫模糊集反直积的定义,研究反犹豫模糊子代数与直积BL代数的反犹豫模糊子代数之间的关系,证明了乘积BL代数的犹豫模糊子集是反犹豫模糊子代数的必要条件.The hesitant fuzzy set was initially applied to the BL-algebras and the concept of anti-hesitant fuzzy subalgebras was introduced and some properties and equivalent characterizations of anti-hesitant fuzzy sub-algebras were obtained.Based on the anti-expansion principle in anti-hesitant fuzzy set,some properties between homomorphic image and homomorphic inverse image of anti-hesitant fuzzy sub-algebras were investigated;Finally,based on the concept of anti-direct product in the hesitant fuzzy set,the relationships between anti-hesitant fuzzy sub-algebras in direct product BL-algebras and anti-hesitant fuzzy sub-algebras in BL-algebras were studied.The necessary condition of the hesitant fuzzy subset of the product BL algebra being a anti-hesitant fuzzy sub-algebras is proved.

关 键 词：BL-代数 犹豫模糊集 反犹豫模糊子代数 反直积 

分 类 号：O159[理学—数学]