Complete Subobjects of Fuzzy Sets Over MV-Algebras |
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| Authors: | Jiří Močkoř |
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| Affiliation: | (1) Department of Mathematics, Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, CZ-702 00 Ostrava, España |
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| Abstract: | A subobjects structure of the category  -FSet of -fuzzy sets over a complete MV-algebra  is investigated, where an -fuzzy set is a pair A = (A,  ) such that A is a set and : A × A  is a special map. Special subobjects (called complete) of an -fuzzy set A which can be identified with some characteristic morphismsA * = (L × L,  ) are then investigated. It is proved that some truth-valued morphisms  are characteristic morphisms of complete subobjects. |
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| Keywords: | fuzzy set over MV-algebra complete subobjects subobjects classification |
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