Rostislav Horčík, Mirko Navara (2002)
Kybernetika
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The validation set of a formula in a fuzzy logic is the set of all truth values which this formula may achieve. We summarize characterizations of validation sets of -fuzzy logics and extend them to the case of -fuzzy logics.
Vilém Novák (1996)
Acta Mathematica et Informatica Universitatis Ostraviensis
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(2001)
Mathematica Slovaca
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Peter Vojtáš (2000)
Kybernetika
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In this paper we argue that for fuzzy unification we need a procedural and declarative semantics (as opposed to the two valued case, where declarative semantics is hidden in the requirement that unified terms are syntactically – letter by letter – identical). We present an extension of the syntactic model of unification to allow near matches, defined using a similarity relation. We work in Hájek’s fuzzy logic in narrow sense. We base our semantics on a formal model of fuzzy logic programming...
U. Straccia, F. Bobillo (2007)
Mathware and Soft Computing
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Nikolai G. Nikolov (2002)
Mathware and Soft Computing
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The Liar paradox, or the sentence I am now saying is false its various guises have been attracting the attention of logicians and linguists since ancient times. A commonly accepted treatment of the Liar paradox [7,8] is by means of Situation semantics, a powerful approach to natural language analysis. It is based on the machinery of non-well-founded sets developed in [1]. In this paper we show how to generalize these results including elements of fuzzy and intuitionistic...