模糊软FI代数  

Fuzzy Soft FI-algebras

作　　者：刘春辉[1] 

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024001

出　　处：《模糊系统与数学》2015年第5期75-81,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10371106);内蒙古自治区高等学校科学研究项目(NJSY14283)

摘　　要：将模糊软集概念及其相关运算应用于FI代数的研究,引入了模糊软FI代数的概念,给出了它的若干代数性质。定义了FI代数间的模糊软FI-同态概念,证明了一个模糊软FI代数在模糊软FI-同态下的像与原像仍为模糊软FI代数的结论。In this paper, we shall study FI-algebras theory by applying the concept and its related operations of fuzzy soft sets. The notion of fuzzy soft FI-algebras is introduced, Some their algebraic properties are discussed. The concept of fuzzy soft FI-homomorphism between two FI-algebras is defined, it is proved that the fuzzy soft FI-homomorphism image and inverse image of a fuzzy soft FI-algebra are also fuzzy soft FI-algebras.

关 键 词：FI代数 模糊软集 模糊软FI代数 模糊软FI-同态 

分 类 号：O141[理学—数学] O153[理学—基础数学]