近环上的模糊软理想和反模糊软理想  

On fuzzy soft ideals and anti fuzzy soft ideals in near-rings

作　　者：李瑞华[1] 

机构地区：[1]陕西榆林学院信息工程学院,陕西榆林719000

出　　处：《计算机工程与应用》2013年第6期123-126,共4页Computer Engineering and Applications

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。给出了近环上的模糊软理想和反模糊软理想的概念,对它们的性质进行了研究,进一步,定义了近环上的模糊软理想和反模糊软理想间的模糊软同态和模糊软同构,给出了近环上的模糊软理想和反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 fuzzy soft ideals and anti fuzzy soft ideals in near-rings are given. Some of their properties are studied. Furthermore, definitions of fuzzy soft homomorphism and fuzzy soft isomomorphism of fuzzy soft ideals and anti fuzzy soft ide- als in near-rings are defined and the theorems of isomomorphic image and homomorphic pre-image of fuzzy soft ideals and anti fuzzy soft ideals in near-rings are given.

关 键 词：模糊集 模糊软集 近环 模糊软理想 反模糊软理想 

分 类 号：O159.1[理学—数学]