布尔代数的乘积型双极值模糊点理想  

Product type bipolar value fuzzy dot ideal of boole algebras

作　　者：姜曼[1] JIANG Man(School of Public Courses,Xi’an Traffic Engineering Institute,Xi’an Shannxi 710300)

机构地区：[1]西安交通工程学院公共课部,陕西西安710300

出　　处：《首都师范大学学报（自然科学版）》2022年第4期15-18,共4页Journal of Capital Normal University：Natural Science Edition

基　　金：陕西省自然科学基础研究计划基金项目(2021JQ-893)。

摘　　要：理想作为布尔代数中一个重要的推理准则,文中用双极值模糊集研究布尔代数的点理想,在布尔代数中引入了乘积型双极值模糊点理想并研究其性质,又在此定义基础上,得到了布尔代数的乘积型模糊点理想的交、同态像和同态逆像等,也是布尔代数的乘积型模糊点理想的结论 .Ideal is an important reasoning criterion in Boolean algebra. In this paper,the point ideal of Boolean algebra is studied by using bipolar valued fuzzy set. The product bipolar valued fuzzy point ideal is introduced into Boolean algebra and its properties are studied. Based on this definition,the intersection and intersection of product fuzzy point ideals of Boolean algebra are obtained. The homomorphic image and homomorphic inverse image are also the conclusions of product fuzzy point ideals of Boolean algebra.

关 键 词：布尔代数 双极值模糊集 乘积型双极值模糊点理想 同态 

分 类 号：O159[理学—数学]