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Groups operating on fuzzy sets
Authors:E Roventa  T Spircu  
Institution:

a Computer Science Department, University of York, Glendon College, 2275 Bayview Ave., Toronto, Ont., Canada M4N 3M6

b Department of Medical Informatics, “Carol Davila” University of Medicine and Pharmacy, 8 Eroilor Sanitari Blvd., Bucharest, Romania

Abstract:In crisp environment the notions of normal subgroup and group operating on a set are well known due to many applications. In this paper we study extensions of these classical notions to the larger universe of fuzzy sets. We obtain a characterization of operations of a fuzzy group on a fuzzy set in terms of homomorphisms of crisp groups.
Keywords:Fuzzy group  Bounded permutation
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