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Galois connexion of a fuzzy subset
Authors:A Achache
Institution:Department of Mathematics, University of Lyon I, Villeurbanne, France
Abstract:By their representation theorem, Negoita and Ralescu ‘identify’ a fuzzy set with a family of ordinary sets (levels). Here we ‘identify’ a fuzzy set with a Galois connexion between the boolean of a set and the valuation set. The two representations are closely connected.
Keywords:Fuzzy sets  Galois connexions  Complete lattices
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