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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:
03E72 Theory of fuzzy sets, etc.
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