基于蕴函算子上的模糊子群  

Fuzzy Subgroup Based on Implication Operator

作　　者：赵艳英[1] 袁学海[2] 赵秋[1] 

机构地区：[1]鞍山师范学院小教系,辽宁,鞍山,114011 [2]辽宁师范大学数学系,辽宁,大连,116029

出　　处：《北华大学学报（自然科学版）》2002年第5期378-380,共3页Journal of Beihua University（Natural Science）

摘　　要：给出了基于蕴函算子上的模糊子群的定义(称之为R-模糊子群)讨论了这种模糊子群与已有的模糊子群的区别与联系,证明了两个R-模糊子群的交仍是R-模糊子群,R-模糊子群的同态象仍是R-模糊子群.The definition of fuzzy subgroup based on the implication operator(lt's called R fuzzy subgroup) is given. The differences and connection between this fuzzy subgroup and the former fuzzy subgroup are discussed, and it is proved that the intersection of R fuzzy subgroups is still R fuzzy subgroup and the hommorphism image of R fuzzy subgroup is still R fuzzy subgroup.

关 键 词：模糊子群 蕴函算子 R-模糊子群 模糊数学 同态 T-范数 

分 类 号：O159[理学—数学]