BCI代数的Ω -犹豫模糊P理想  

Ω -Hesitant Fuzzy P Ideals of BCI Algebras

作　　者：姜曼[1] JIANG Man(Department of Mathematics,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,西安710300

出　　处：《大学数学》2023年第6期1-9,共9页College Mathematics

基　　金：国家自然科学基金(11071178,11671284);陕西省自然科学基础研究计划(2021JQ-893)。

摘　　要：给定一个集合Ω,在BCI代数中引入Ω-犹豫模糊P理想的概念,讨论它的一些性质,研究了Ω-犹豫模糊P理想的同态像与同态原像的性质;研究了BCI代数中的Ω-犹豫模糊P理想与犹豫模糊P理想的相互构造,通过Ω-犹豫模糊P理想的水平P理想,讨论了BCI代数中Ω-犹豫模糊P理想的刻画;研究了Ω-犹豫模糊P理想与乘积型BCI代数的Ω-犹豫模糊P理想的关系.Given a setΩ,the concept ofΩ-hesitant fuzzy P ideal is introduced in BCI algebra,some of its properties are discussed,and the properties of homomorphic image and homomorphic original image ofΩhesitant fuzzy P ideal are studied;The mutual construction ofΩ-hesitant fuzzy P ideal and hesitant fuzzy P ideal in BCI algebra is studied,through the horizontal P ideal ofΩ-hesitant fuzzy P ideal,the characterization ofΩ-hesitant fuzzy P ideal in BCI algebra is discussed;The relationship betweenΩ-hesitant fuzzy P ideals andΩ-hesitant fuzzy P ideals of product BCI algebras is studied.

关 键 词：BCI代数 Ω-犹豫模糊P理想 同态 积代数 

分 类 号：O159[理学—数学]