BCI代数上的反模糊软理想和模糊软理想  

Anti-fuzzy soft ideals and fuzzy soft ideals in BCI algebras

作　　者：陈娟娟[1,2] 李生刚[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062 [2]西安理工大学理学院,西安710048

出　　处：《计算机工程与应用》2013年第9期10-12,共3页Computer Engineering and Applications

基　　金：国家自然科学基金(No.11071151);陕西省自然科学基金(No.2010JM1005)

摘　　要：Molodtsov引入的软集理论,可作为通用的数学工具去处理不确定性问题。给出了BCI代数上的反模糊软理想的概念,对它们的并、交和AND的性质进行了研究,定义了BCI代数上的模糊软理想间的模糊软同态和模糊软同构,给出了BCI代数上的模糊软理想的同构像定理和同态逆像定理。Molodtsov introduces the concept of soft set theory which can be used as generic mathematical tool for dealing with uncertainty. The notions of anti-fuzzy soft ideals in BCI algebras are given, and some of their properties such as union, intersection and AND are studied. Definitions of fuzzy soft homomorphism and fuzzy soft isomorphism of fuzzy soft ideals in BCI algebras are defined and the theorems of isomorphic image and homomorphic pre-image of fuzzy soft ideals in BCI algebras are given.

关 键 词：模糊集 模糊软集 BCI代数 模糊软理想 反模糊软理想 

分 类 号：O159.1[理学—数学]