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L-fuzzy topological groups

Fuzzy Sets and Systems, 1991
The concept of \(L\)-fuzzy topological groups is introduced as follows: Let \(X\) be a group and \(J\) be an \(L\)-fuzzy topology on \(X\). The pair \((X,J)\) is said to be an \(L\)-fuzzy topological group, if and only if the following conditions are satisfied: (a) The mapping \(g: (x,y)\to xy\) of the product \(L\)-fuzzy topological space \((X,J ...
Yu, Chunhai, Ma, Jiliang
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On the image of an L-fuzzy group

Fuzzy Sets and Systems, 1998
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Groups operating on fuzzy sets

Fuzzy Sets and Systems, 2001
A fuzzy set \(X\) is defined in terms of a membership function \(\mu\colon X\mapsto[0,1]\), \(X\) is identified with the support \(\text{supp }\mu\) in this paper. Let a fuzzy set \(G\) be a fuzzy group. If \(\mu_G(e_G)=1\), then \(G\) is called standardized.
Eugene Roventa, Tiberiu Spircu
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Commutative fuzzy sets and nilpotent fuzzy groups

Information Sciences, 1995
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Fuzzy groups and collections of subgroups

Fuzzy Sets and Systems, 1996
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Branimir Seselja, Andreja Tepavcevic
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Fuzzy sets, fuzzy relations, and fuzzy groups: Some interrelations

Information Sciences, 1993
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Classification of fuzzy subgroupoids of a group (I)

Information Sciences, 1993
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Fuzzy groups with sup property

Information Sciences, 1996
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Homomorphism of fuzzy groups, correspondence theorem and fuzzy quotient groups

Fuzzy Sets and Systems, 1994
Recently many papers deal with fuzzy groups [cf. e.g. \textit{M. Asaad}, Fuzzy Sets Syst. 39, 323-328 (1991; Zbl 0718.20036); \textit{N. Kuroki}, Inf. Sci. 60, 247-259 (1992; Zbl 0747.20038); \textit{J.-G. Kim}, J. Fuzzy Math. 2, 913-921 (1994; Zbl 0822.20067)].
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Fuzzy Hyper-Topological Group

2009
Based on the intuitive idea of convergent, this paper has proposed a new hypertopological and upgraded two mathematic structure of topological group to fuzzy power set respectively. And then we proved that the multiplication operation and contradictory operation are continuous in hyper-topology after the two kinds of mathematical structure of ...
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