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Fuzzy Horn logic II
Authors:Radim Bělohlávek  Vilém Vychodil
Institution:(1) Department Computer Science, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic
Abstract:The paper studies closure properties of classes of fuzzy structures defined by fuzzy implicational theories, i.e. theories whose formulas are implications between fuzzy identities. We present generalizations of results from the bivalent case. Namely, we characterize model classes of general implicational theories, finitary implicational theories, and Horn theories by means of closedness under suitable algebraic constructions.
Keywords:Fuzzy logic  Equational Logic  Horn logic  Implication  Degree of provability
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