The extension principle and a decomposition of fuzzy sets

Authors:
Y. Chalco-Cano;H. Román-Flores;M. Rojas-Medar;O. R. Saavedra;M. D. Jiménez-Gamero
Affiliations:
Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica, Chile;Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica, Chile;Departamento de Ciencias Básicas, Universidad del Bío-Bío, Campus Fernando May, Casilla 447, Chillán, Chile;Departamento de Engenharia de Eletricidade, Universidade Federal do Maranhão, São Luís, MA, Brazil;Departamento de Estadística e I.O., Universidad de Sevilla, 41012 Sevilla, Spain
Venue:
Information Sciences: an International Journal
Year:
2007

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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 , where is obtained from f by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided.