BCK代数的Ω犹豫模糊正定关联理想  

Ω-Hesitant Fuzzy Positive Implicative Ideals in BCK-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]西安交通工程学院数学教研室,陕西西安710300

出　　处：《数学的实践与认识》2022年第7期214-220,共7页Mathematics in Practice and Theory

基　　金：陕西省教育厅科研计划项目(21JK0743)。

摘　　要：在集合Ω中,用犹豫模糊集、Ω模糊集来研究BCK-代数,定义了 BCK-代数中的Ω犹豫模糊正定关联理想,讨论其性质及若干等价刻画;研究了两个关系,一个是Ω犹豫模糊理想与Ω犹豫模糊正定关联理想之间的关系,另一个是犹豫模糊正定关联理想与Ω犹豫模糊正定关联理想的关系;证明了 Ω犹豫模糊正定关联理想(Ω犹豫模糊理想)的同态原像是Ω犹豫模糊理想(Ω犹豫模糊理想).LetΩ-be a set.By combining the hesitant fuzzy sets,Ω-fuzzy sets and BCK-algebras,the concept of Ω-hesitant fuzzy positive implicative ideal is proposed,and some related properties are investigated.Two relationships are studied,One is the relationship between Ω-hesitant fuzzy ideal and Ω-hesitant fuzzy positive implicative ideal,another is the relationship between hesitant fuzzy positive implicative ideal and Ω-hesitant fuzzy positive implicative ideal;It is stated that the homomorphic inverse of Ω-hesitant fuzzy positive implicative ideals(Ω-hesitant fuzzy ideals)become Ω-hesitant fuzzy positive implicative ideals(Ω-hesitant fuzzy ideals).

关 键 词：BCK-代数 Ω模糊集 Ω犹豫模糊理想 Ω犹豫模糊正定关联理想 

分 类 号：O159[理学—数学]