Fuzzy closure systems on L—ordered sets |
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| Authors: | Lankun Guo Guo‐Qiang Zhang Qingguo Li |
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| Institution: | 1. College of Mathematics and Economics, Hunan University, Changsha, Hunan 410082, P.R. China;2. Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, Ohio 44106, U.S.A. |
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| 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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| Keywords: | Fuzzy set L‐ordered set Fuzzy closure system Fuzzy closure L‐system MSC (2010) 03E72 06A15 |
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