亚BCI-代数的犹豫模糊理想  

Hesitant Fuzzy Ideals of Sub-BCI Algebras

作　　者：姜曼[1] JIANG Man(Department of Commonly Required Courses,Xi'an Institute of Traffic Engineering,Xi'an,Shaanxi710300,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12期50-54,共5页Journal of Neijiang Normal University

基　　金：陕西省教育厅科研计划项目(21JK0743)。

摘　　要：在亚BCI-代数中首先引入犹豫模糊理想和犹豫模糊子代数的定义,并讨论犹豫模糊理想的性质以及等价刻画.其次,在亚BCI-代数中定义了犹豫模糊闭理想的概念,讨论犹豫模糊闭理想与犹豫模糊子代数的关系.最后,在亚BCI-代数同态下,研究了犹豫模糊子代数和犹豫模糊理想的像与直积.In Sub-BCI-algebras,the definitions of hesitant fuzzy ideals and hesitant fuzzy sub-algebras are introduced,and the properties and equivalent characterizations of hesitant fuzzy ideals are discussed.Next,the concept of hesitant fuzzy closed ideal is defined in Sub-BCI algebras,and the relationship between hesitant fuzzy closed ideal and hesitant fuzzy sub-algebra is investigated.Lastly,the image and direct product of hesitant fuzzy sub-algebras and hesitant fuzzy ideals are studied under the Sub-BCI algebra homomorphism.

关 键 词：亚BCI-代数 犹豫模糊理想 犹豫模糊子代数 犹豫模糊闭理想 同态 

分 类 号：O159[理学—数学]