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Abstract:

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.

Registro:

Documento: Artículo
Título:On implicative closure operators in approximate reasoning
Autor:Rodríguez, R.O.; Esteva, F.; Garcia, P.; Godo, L.
Filiación:Dpto. de Computación, Fac. Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Inst. d'Invest. en Intell. Artif., CSIC-IIIA, Camp. Univ. Auton. de Barcelona, 08193 Bellaterra, Spain
Palabras clave:Approximate reasoning; Closure systems and fuzzy consequence relations; Fuzzy closure operators; Implication measures; Approximation theory; Computer science; Fuzzy sets; Closure operators; Mathematical operators
Año:2003
Volumen:33
Número:2
Página de inicio:159
Página de fin:184
DOI: http://dx.doi.org/10.1016/S0888-613X(03)00016-1
Título revista:International Journal of Approximate Reasoning
Título revista abreviado:Int J Approximate Reasoning
ISSN:0888613X
CODEN:IJARE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0888613X_v33_n2_p159_Rodriguez.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0888613X_v33_n2_p159_Rodriguez

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Citas:

---------- APA ----------
Rodríguez, R.O., Esteva, F., Garcia, P. & Godo, L. (2003) . On implicative closure operators in approximate reasoning. International Journal of Approximate Reasoning, 33(2), 159-184.
http://dx.doi.org/10.1016/S0888-613X(03)00016-1
---------- CHICAGO ----------
Rodríguez, R.O., Esteva, F., Garcia, P., Godo, L. "On implicative closure operators in approximate reasoning" . International Journal of Approximate Reasoning 33, no. 2 (2003) : 159-184.
http://dx.doi.org/10.1016/S0888-613X(03)00016-1
---------- MLA ----------
Rodríguez, R.O., Esteva, F., Garcia, P., Godo, L. "On implicative closure operators in approximate reasoning" . International Journal of Approximate Reasoning, vol. 33, no. 2, 2003, pp. 159-184.
http://dx.doi.org/10.1016/S0888-613X(03)00016-1
---------- VANCOUVER ----------
Rodríguez, R.O., Esteva, F., Garcia, P., Godo, L. On implicative closure operators in approximate reasoning. Int J Approximate Reasoning. 2003;33(2):159-184.
http://dx.doi.org/10.1016/S0888-613X(03)00016-1