2011•Mathematical logic quarterlyRequires access

Fuzzy closure systems onL-ordered sets

Lankun Guo, Guo‐Qiang Zhang, Qingguo Li

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 (fuzzy closure L—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

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Key concepts: Closure (psychology), Mathematics, Fuzzy logic, Fuzzy subalgebra, Fuzzy set operations, Fuzzy classification, Fuzzy number, Defuzzification