The extension principle and a decomposition of fuzzy sets

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 f ˆ ( u ) , where f ˆ is obtained from f by applying the extension principle. We provide approximation bounds. Some n...

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Bibliographic Details
Published in:Information sciences 2007-12, Vol.177 (23), p.5394-5403
Main Authors: Chalco-Cano, Y., Román-Flores, H., Rojas-Medar, M., Saavedra, O.R., Jiménez-Gamero, M.D.
Format: Article
Language:English
Subjects:
Decomposition of fuzzy sets
Extension principle
Fuzzy sets
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Summary: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 f ˆ ( u ) , where f ˆ is obtained from f by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2007.07.007