Fuzzy Horn logic II

Archive for Mathematical Logic 45 (2):149-177 (2006)
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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

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Citations of this work

Mathematical fuzzy logics.Siegfried Gottwald - 2008 - Bulletin of Symbolic Logic 14 (2):210-239.
Continuous fuzzy Horn logic.Vilém Vychodil - 2006 - Mathematical Logic Quarterly 52 (2):171-186.

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References found in this work

The logic of inexact concepts.J. A. Goguen - 1969 - Synthese 19 (3-4):325-373.
On Fuzzy Logic III. Semantical completeness of some many-valued propositional calculi.Jan Pavelka - 1979 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 25 (25-29):447-464.
Globalization of intui tionistic set theory.Gaisi Takeuti & Satoko Titani - 1987 - Annals of Pure and Applied Logic 33 (C):195-211.
Fuzzy equational logic.Radim Bělohlávek - 2002 - Archive for Mathematical Logic 41 (1):83-90.

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