Abstract: In this paper, the concept of I-fuzzy topological groups is introduced and some of its properties are discussed. Considering Jin-ming Fang's notion of I-fuzzy quasi-coincident neighborhood system [Fuzzy Sets and Systems 147 (2004) 317–325], we obtained a characterization of I-fuzzy topological groups in terms of the corresponding I-fuzzy quasi-coincident neighborhood system at identity element. Finally, we showed that the category of I-fuzzy topological groups and fuzzy continuous homomorphisms is isomorphic to the category of antichain I-topological groups and I-continuous homomorphisms; and the category I-fuzzy topological groups is topological over the category of groups with respect to the forgetful functor.
Publication Year: 2010
Publication Date: 2010-02-18
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 10
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