On implicative closure operators in approximate reasoning

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This 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...

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Autores principales:	Rodríguez, R.O., Esteva, F., Garcia, P., Godo, L.
Formato:	Artículo publishedVersion
Publicado:	2003
Materias:	Approximate reasoning Closure systems and fuzzy consequence relations Fuzzy closure operators Implication measures Approximation theory Computer science Fuzzy sets Closure operators Mathematical operators
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_0888613X_v33_n2_p159_Rodriguez https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0888613X_v33_n2_p159_Rodriguez_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

id	I28-R145-paper_0888613X_v33_n2_p159_Rodriguez_oai
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spelling	I28-R145-paper_0888613X_v33_n2_p159_Rodriguez_oai2024-08-16 Rodríguez, R.O. Esteva, F. Garcia, P. Godo, L. 2003 This 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. application/pdf http://hdl.handle.net/20.500.12110/paper_0888613X_v33_n2_p159_Rodriguez info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Int J Approximate Reasoning 2003;33(2):159-184 Approximate reasoning Closure systems and fuzzy consequence relations Fuzzy closure operators Implication measures Approximation theory Computer science Fuzzy sets Closure operators Mathematical operators On implicative closure operators in approximate reasoning info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0888613X_v33_n2_p159_Rodriguez_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic	Approximate reasoning Closure systems and fuzzy consequence relations Fuzzy closure operators Implication measures Approximation theory Computer science Fuzzy sets Closure operators Mathematical operators
spellingShingle	Approximate reasoning Closure systems and fuzzy consequence relations Fuzzy closure operators Implication measures Approximation theory Computer science Fuzzy sets Closure operators Mathematical operators Rodríguez, R.O. Esteva, F. Garcia, P. Godo, L. On implicative closure operators in approximate reasoning
topic_facet	Approximate reasoning Closure systems and fuzzy consequence relations Fuzzy closure operators Implication measures Approximation theory Computer science Fuzzy sets Closure operators Mathematical operators
description	This 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.
format	Artículo Artículo publishedVersion
author	Rodríguez, R.O. Esteva, F. Garcia, P. Godo, L.
author_facet	Rodríguez, R.O. Esteva, F. Garcia, P. Godo, L.
author_sort	Rodríguez, R.O.
title	On implicative closure operators in approximate reasoning
title_short	On implicative closure operators in approximate reasoning
title_full	On implicative closure operators in approximate reasoning
title_fullStr	On implicative closure operators in approximate reasoning
title_full_unstemmed	On implicative closure operators in approximate reasoning
title_sort	on implicative closure operators in approximate reasoning
publishDate	2003
url	http://hdl.handle.net/20.500.12110/paper_0888613X_v33_n2_p159_Rodriguez https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0888613X_v33_n2_p159_Rodriguez_oai
work_keys_str_mv	AT rodriguezro onimplicativeclosureoperatorsinapproximatereasoning AT estevaf onimplicativeclosureoperatorsinapproximatereasoning AT garciap onimplicativeclosureoperatorsinapproximatereasoning AT godol onimplicativeclosureoperatorsinapproximatereasoning
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On implicative closure operators in approximate reasoning

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