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基于蕴函算子上的模糊子群 被引量:14

Fuzzy Subgroup Based on Implication Operator
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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.
出处 《北华大学学报(自然科学版)》 CAS 2002年第5期378-380,共3页 Journal of Beihua University(Natural Science)
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 Fuzzy subgroup Implication operator R fuzzy subgroup
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参考文献6

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