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Title

On implicative closure operators in approximate reasoning

AuthorsRodriguez, Ricardo O.; Esteva, Francesc ; García-Calvés, Pere ; Godo, Lluis
KeywordsImplication measures
Closure systems and fuzzy consequence relations
Approximate reasoning
Fuzzy closure operators
Issue Date2003
PublisherElsevier
CitationInternational Journal of Approximate Reasoning 33: 159- 184 (2003)
AbstractThis paper introduces a new class of fuzzy closure operators called implicative closure operators, which generalize some notions of fuzzy closure operators already introduced by different authors. We show that implicative closure operators capture some usual consequence relations used in Approximate Reasoning, like Chakraborty's graded consequence relation, Castro et al.'s fuzzy consequence relation, similarity-based consequence operators introduced by Dubois et al. and Gerla's canonical extension of classical closure operators. We also study the relation of the implicative closure operators to other existing fuzzy inference operators as the Natural Inference Operators defined by Boixader and Jacas and the fuzzy operators defined by Biacino, Gerla and Ying. © 2003 Elsevier Science Inc. All rights reserved.
URIhttp://hdl.handle.net/10261/160965
Identifiersdoi: 10.1016/S0888-613X(03)00016-1
issn: 0888-613X
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