半群的Ω-双极值模糊软内理想  

Ω-Bipolar Valued Fuzzy Soft Inner Ideals of Semigroups

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]西安交通工程学院公共课部,陕西西安710300

出　　处：《模糊系统与数学》2024年第3期52-59,共8页Fuzzy Systems and Mathematics

基　　金：陕西数理基础科学研究项目(23JSQ058)。

摘　　要：给定一个集合Ω,在半群中引入Ω-双极值模糊软内理想的概念,讨论它的一些性质以及等价刻画,研究了半群的Ω-双极值模糊软内理想与其内理想之间的关系。另外,在引入半群的Ω-双极值模糊软同态(软同构)定义的基础上,研究半群的Ω-双极值模糊软内理想的同态像与原像的性质。最后,给出了半群上的Ω-双极值模糊软直积的定义,并研究Ω-双极值模糊软直积与Ω-双极值模糊软内理想的等价关系。Given a set Ω,we introduce the concept of Ω-bipolar valued fuzzy soft inner ideal in semigroups,discuss its properties and equivalent characterizations,and study the relationship between Ω-bipolar valued fuzzy soft inner ideal and its inner ideal of semigroups.In addition,on the basis of introducing the definition of Ω-bipolar valued fuzzy soft homomorphism(soft isomorphism)of semigroups,the properties of homomorphic images and original images of Ω-bipolar valued fuzzy soft inner ideals of semigroups are studied.Finally,the definition of Ω-bipolar valued fuzzy soft direct product on semigroups is given,and the equivalent relationship between Ω-bipolar valued fuzzy soft direct product and Ω-bipolar valued fuzzy soft inner ideal is studied.

关 键 词：半群 模糊集 模糊软集 Ω-双极值模糊软内理想 同态 

分 类 号：O159[理学—数学]