BCH代数的拟结合Ω-犹豫模糊理想  

Quasi-associativeΩ-Hesitant fuzzy Ideals of BCH Algebras

作　　者：姜曼[1] 黄军峰 常在斌 JIANG Man;HUANG Junfeng;CHANG Zaibin(Public Course Department of Xi’an Traffic Engineering College,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：《北华大学学报（自然科学版）》2022年第4期426-434,共9页Journal of Beihua University（Natural Science）

基　　金：陕西省自然科学基础研究计划项目(2022JM-053).

摘　　要：给定一个集合Ω,在BCH代数中引入拟结合Ω-犹豫模糊理想的概念,讨论它的一些性质和等价刻画;研究了拟结合Ω-犹豫模糊理想的同态像与同态原像的性质;讨论了如何由BCH代数中的拟结合犹豫模糊理想构造拟结合Ω-犹豫模糊理想;给出了拟结合Ω-犹豫模糊理想与乘积型BCH代数的拟结合Ω-犹豫模糊理想的关系.Given a setΩ,the concept of the quasi-associativeΩ-hesitant fuzzy ideal is introduced in BCH algebra,some properties and equivalent characterizations are discussed;The properties of homomorphic images and homomorphic primitives of quasi-associativeΩ-hesitant fuzzy ideals are studied;This paper discusses how to construct a quasi-associativeΩ-hesitant fuzzy ideal from a quasi-associative hesitant fuzzy ideals in BCH algebras.The relationship between quasi-associativeΩ-hesitant fuzzy ideals and quasi-associativeΩ-hesitant fuzzy ideals of product BCH algebras is given.

关 键 词：BCH代数 拟结合Ω-犹豫模糊理想 同态 积代数 

分 类 号：O159[理学—数学]