B-代数的双极值模糊正规点子代数  

Bipolar Valued Fuzzy Normal Dot Subalgebras of B-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]西安交通工程学院公共课部,陕西西安710300

出　　处：《模糊系统与数学》2024年第1期36-43,共8页Fuzzy Systems and Mathematics

基　　金：西安交通工程学院中青年基金项目(2023kY-49)。

摘　　要：在B代数中首先分别引入了双极值模糊点子代数和双极值模糊正规点子代数的概念,讨论它们的相关性质,给出双极值模糊点直积的概念,讨论双极值模糊点子代数(双极值模糊正规点子代数)直积的相关性质;其次,研究了B-代数的双极值模糊点子代数(双极值模糊正规点子代数)在自同态像的相关特征;最后,在满射前提下给出了两个B-代数的双极值模糊正规点子代数之间的关系。In B-algebra,the concepts of bipolar valued fuzzy dot subalgebras and bipolar valued fuzzy dot normal sub-algebras are introduced respectively,their related properties are discussed,the concept of bipolar valued fuzzy dot di-rect product is given,and the related properties of the direct product of bipolar valued fuzzy dot subalgebras(bipolar valued fuzzy normal dot subalgebras)are discussed;The related characteristics of the endomorphism image of the bipo-lar valued fuzzy dot subalgebras(bipolar valued fuzzy normal dot subalgebras)of B-algebras are studied.Finally,the relationship between the bipolar valued fuzzy normal dot subalgebras of two B-algebras is given on the premise of surjection.

关 键 词：B代数 双极值模糊点子代数 双极值模糊正规点子代数 

分 类 号：O159[理学—数学]