Galois connexion of a fuzzy subset |
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Authors: | A Achache |
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Institution: | Department of Mathematics, University of Lyon I, Villeurbanne, France |
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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. |
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Keywords: | Fuzzy sets Galois connexions Complete lattices |
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