(λ,1]-fuzzy子群  

(λ,1]-fuzzy Subgroup

作　　者：赵秋[1] 赵艳英[1] 

机构地区：[1]鞍山师范学院小教系,辽宁鞍山114011

出　　处：《鞍山师范学院学报》2002年第3期28-30,共3页Journal of Anshan Normal University

摘　　要：给出了一种新型的fuzzy子群的定义 (称之为 (λ ,1] fuzzy子群 ) ,它是Rosenfeld的定义及S .K .Bhakat和P .Das定义的推广 .还给出了 (λ ,1] fuzzy子群的等价定义 ,给出了 (λ ,1] fuzzy子群的定义 ,研究了 (λ ,1] fuzzy商群及(λ ,1]A new definition of fuzzy subgroup (called (λ,1] fuzzy  subgroup)is introduced,which is a generalization of denifitions by Roseufeld,S.K.Bhakat and P.Das.The equivalent definition of (λ,1] fuzzy  subgroup and definition of normal (λ,1\] fuzzy  subgroup are also given,(λ,1\] fuzzy  factor group and homomorphic image properties are studied. fuzzy  subgroup)is introduced,which is a generalization of denifitions by Roseufeld,S.K.Bhakat and P.Das.The equivalent definition of (λ,1] fuzzy  subgroup and definition of normal (λ,1\] fuzzy  subgroup are also given,(λ,1\] fuzzy  factor group and homomorphic image properties are studied. fuzzy  subgroup and definition of normal (λ,1\] fuzzy  subgroup are also given,(λ,1\] fuzzy  factor group and homomorphic image properties are studied. fuzzy  subgroup are also given,(λ,1\] fuzzy  factor group and homomorphic image properties are studied. fuzzy  factor group and homomorphic image properties are studied.

关 键 词：FUZZY子群 正规fuzzy子群 (λ 1]-fuzzy子群 商群 同态 模糊代数理论 

分 类 号：O159[理学—数学]