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.
作者
姜曼
JIANG Man(School of Public Courses,Xi'an Traffic Engineering Institute,Xi'an 710300,China)
出处
《模糊系统与数学》
北大核心
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)。
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
B-algebra
Bipolar valued fuzzy dot subalgebra
Bipolar valued fuzzy normal dot subalgebra