Mathematical Logic Quarterly 57 (3):281-291 (2011)

Abstract
In this paper, notions of fuzzy closure system and fuzzy closure L—system on L—ordered sets are introduced from the fuzzy point of view. We first explore the fundamental properties of fuzzy closure systems. Then the correspondence between fuzzy closure systems and fuzzy closure operators is established. Finally, we study the connections between fuzzy closure systems and fuzzy Galois connections. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Keywords Fuzzy set  MSC (2010) 03E72, 06A15  Fuzzy closure system  L‐ordered set  Fuzzy closure L‐system
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DOI 10.1002/malq.201010007
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References found in this work BETA

Fuzzy Sets.Lofti A. Zadeh - 1965 - Information and Control 8 (1):338--53.
Metamathematics of Fuzzy Logic.Petr Hajek - 1998 - Kluwer Academic Publishers.
Fuzzy Galois Connections.Radim Bêlohlávek - 1999 - Mathematical Logic Quarterly 45 (4):497-504.
Metamathematics of Fuzzy Logic.P. Hájek - 2002 - Studia Logica 72 (3):433-437.
Concept Lattices and Order in Fuzzy Logic.Radim Bĕlohlávek - 2004 - Annals of Pure and Applied Logic 128 (1-3):277-298.

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