The extension principle and a decomposition of fuzzy sets

Y. Chalco-Cano; H. Román-Flores; M. Rojas-Medar; O. R. Saavedra; M. D. Jiménez-Gamero

doi:10.1016/j.ins.2007.07.007

The extension principle and a decomposition of fuzzy sets

Y. Chalco-Cano
, H. Román-Flores
, M. Rojas-Medar
, O. R. Saavedra
, M. D. Jiménez-Gamero

Departamento de Matemática

Universidad de Tarapacá
Universidad del Bío-Bío
Universidade Federal do Maranhão
University of Seville

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

30 Citas (Scopus)

Resumen

We give an algorithm to decompose a fuzzy interval u. Using this decomposition and the multilinearization of a univariate function f, we obtain an approximation of the fuzzy interval over(f, ̂) (u), where over(f, ̂) is obtained from f by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided.

Idioma original	Inglés
Páginas (desde-hasta)	5394-5403
Número de páginas	10
Publicación	Information Sciences
Volumen	177
N.º	23
DOI	https://doi.org/10.1016/j.ins.2007.07.007
Estado	Publicada - 1 dic 2007

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10.1016/j.ins.2007.07.007

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abstract = "We give an algorithm to decompose a fuzzy interval u. Using this decomposition and the multilinearization of a univariate function f, we obtain an approximation of the fuzzy interval over(f,{\^ }) (u), where over(f,{\^ }) is obtained from f by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided.",

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AU - Román-Flores, H.

AU - Rojas-Medar, M.

AU - Saavedra, O. R.

AU - Jiménez-Gamero, M. D.

PY - 2007/12/1

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N2 - We give an algorithm to decompose a fuzzy interval u. Using this decomposition and the multilinearization of a univariate function f, we obtain an approximation of the fuzzy interval over(f, ̂) (u), where over(f, ̂) is obtained from f by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided.

AB - We give an algorithm to decompose a fuzzy interval u. Using this decomposition and the multilinearization of a univariate function f, we obtain an approximation of the fuzzy interval over(f, ̂) (u), where over(f, ̂) is obtained from f by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided.

KW - Decomposition of fuzzy sets

KW - Extension principle

KW - Fuzzy sets

UR - https://www.scopus.com/pages/publications/34548733039

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The extension principle and a decomposition of fuzzy sets

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