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fuzzy groups     
相关语句
  fuzzy群
     The Fuzzy isomorphism of Fuzzy groups
     Fuzzy群的Fuzzy同构
短句来源
     FUZZY GROUPS I
     Fuzzy 群 1
短句来源
     Index for Fuzzy Groups
     Fuzzy群的指数
短句来源
     Normal Fuzzy Subgroups on Fuzzy Groups
     Fuzzy群的Fuzzy正规子群
短句来源
     Homomorphism and Isomorphism of T H Interval Valued Fuzzy Groups
     T_H型区间值Fuzzy群的同态与同构
短句来源
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  模糊群
     Some Properties of Fuzzy Groups
     模糊群的若干性质
短句来源
     Fuzzy Homomorphisms of Fuzzy Groups
     模糊群的模糊同态
短句来源
     The Intuitionistic Fuzzy Groups of T-S Norms and Their Operations
     T-S模的直觉模糊群及其运算
短句来源
     Homomorphisms of a New Kind of Intuitive Fuzzy Groups
     一种新的直觉模糊群的同态
短句来源
     On the basis of the definition of the intuitionistic fuzzy groups, we generalized the operators "∧" and "∨" to T norm and S norm, respectively, defined the intuitionistic fuzzy groups with of TS norms, gave its equivalent definition in the sence of dual norms, and proved a few equivalent propositions that an intuitionistic fuzzy set is an intuitionistic fuzzy group of TS norms.
     在直觉模糊群定义的基础上,将算子"∧"与"∨"分别推广到T模和S模上,从而定义了关于T-S模的直觉模糊群,给出了其在对偶模意义下的等价定义,并且证明了一个直觉模糊集构成关于T-S模的直觉模糊群的几个等价命题.
短句来源
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  模糊子群
     Counting the Number of the Equivalent Classes for Fuzzy Groups
     计算模糊子群的等价类
短句来源
     In this paper, the level subgroup on the intuitionistic fuzzy groups and the intuitionistic fuzzy normal Subgroups are defined. And we obtain some important Consequences.
     本文引入直觉模糊群与直觉正规模糊子群的水平子群的概念,得出了若干重要的结论.
短句来源
     In this paper we show strict relation between the intuitionific fuzzy groups of transformation group in S and intuitionfic similarities on S,i. e. any intuitionific fuzzy subgroup of transformation group on S is associated with an intuitionific similarity on S,and any intuitionific similarity on S is associated with an intuitionific fuzzy subgroup of transformation group on S.And we show the relation between intuitionfic similarity and pseudometric.
     研究集合S上的变换群的直觉模糊子群和S上的直觉相似关系之间的密切联系,证明了S上的变换群的任一直觉模糊子群可确定S上的一个直觉相似关系,反之,S上的任一个直觉相似关系可确定S上的变换群的一个直觉模糊子群.
短句来源
  fuzzy同构
     The Fuzzy isomorphism of Fuzzy groups
     Fuzzy群的Fuzzy同构
短句来源

 

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  fuzzy groups
Clarification is suggested for the early notion of homomorphisms of fuzzy groups.
      
In this paper, we study the lattice structure of some fuzzy algebraic systems such as (G-)fuzzy groups, some fuzzy ordered algebras and fuzzy hyperstructures.
      
Fuzzy groups are a more natural and compelling way of thinking of human social groups.
      
FOG represents a significant movement forward in our ability to identify groups as it enables the location of fuzzy groups.
      


In this paper we prove the following results: 1.Let H_1 and H_2 be M—subgroups of M—pointwise fuzzy group A,H'_1 and H'_2 be M—fuzzy normal subgroups of H_1 and H_2,respectively,and H_1 (e)=H_2(e)=H'_1(e)=H'_2(e),then (H_1∩H_2)H'_1/(H_1∩H'_2)H'_1and H_1∩H_2/(H_1∩H'_2)H'_1∩(H_1H_2) are M—isomorphie 2.Let H_1 and H_2 be M—subgroups of M—pointwise fuzzy group A,H'_1 and H'_2 be M—fuzzy normal subgroups of H_1 and H_2,respeetively,and H_1(e)=H_2(e)=H'_1(e)=H'_2(e),then (H_1∩H_2)H'_1/(H_1∩H'_2)H'_1and...

In this paper we prove the following results: 1.Let H_1 and H_2 be M—subgroups of M—pointwise fuzzy group A,H'_1 and H'_2 be M—fuzzy normal subgroups of H_1 and H_2,respectively,and H_1 (e)=H_2(e)=H'_1(e)=H'_2(e),then (H_1∩H_2)H'_1/(H_1∩H'_2)H'_1and H_1∩H_2/(H_1∩H'_2)H'_1∩(H_1H_2) are M—isomorphie 2.Let H_1 and H_2 be M—subgroups of M—pointwise fuzzy group A,H'_1 and H'_2 be M—fuzzy normal subgroups of H_1 and H_2,respeetively,and H_1(e)=H_2(e)=H'_1(e)=H'_2(e),then (H_1∩H_2)H'_1/(H_1∩H'_2)H'_1and (H_1∩ H_2) H'_2/(H'_1∩H_2)H'_2 are M—isomorphic.

本文证明了下述结果:1.令 H_1和 H_2是点态 M—Fuzzy 群 A 的 M—子群,H′_1和H′_2分别是 H_1和 H_2的 M—Fuzzy 正规子群,并且 H_1(e)=H_2(e)=H′_1(e)=H′_2(e),则(H_1∩H_2)H′_1/(H_1∩H′_2)H′_1和 H_1∩H_2/(H_1∩H′_2)H′_1∩(H_1∩H_2)是 M—同构的。2.令 H_1和 H_2是 M—点态 Fuzzy 群 A 的 M—子群,H′_1,H′_2分别是 H_1和 H_2的M—Fuzzy 正规子群,并且 H_1(e)=H_2(e)=H′_2(e)=H′_1(e),则(H_1∩H_2)H′_1/(H_1∩H′_2)H′_1与(H_1∩H_2)H′_2/(H′_1∩H_2)H′_2是 M—同构的。

In this paper,three problems are discussed:the structure of fuzzy groups, the method for constcucting a fuzzy group on a alge bric group and their isomorphism.

本文的目的在于对 Fuzzy 群的构造进行深入的研究,文中给出了 Fuzzy 群的结构定理和构造定理,进而建立了 Fuzzy 群同构的主要条件,并在此基础上讨论了 Fuzzy 群的分类问题。

In this payer, we discuss the the properties relative to the product of Fuzzy Subroups, present some theorems about normal fuzzy subgroups, and assert a characteristic property of groups about that every fuzzy subgroup is a normal fuzzy one. Then we introduce some concepts of characteristic fuzzy subgroups and maximal fuzzy subgroups, and give some results on them. Finally we show by two examples that not all basic facts in group theory can carry over to fuzzy groups.

本文讨论与Fuzzy子群的乘积有关的性质,建立Fuzzy子群正规性判定定理,确定一切Fuzzy子群均是正规Fuzzy子群的群的特征性质,并引入特征及极大Fuzzy子群等概念,得出它们的有关结果。最后用例子说明,群论中的基本事实不是都可平移到Fuzzy子群。

 
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