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The extension principle and a decomposition of fuzzy sets. (English) Zbl 1124.03326
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 $$\widehat f(u)$$, where $$\widehat f$$ is obtained from $$f$$ by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided.

##### MSC:
 3e+72 Theory of fuzzy sets, etc.
##### Keywords:
extension principle; decomposition of fuzzy sets
Full Text:
##### References:
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