Width invariant approximation of fuzzy numbers

In this paper, we consider the width invariant trapezoidal and triangular approximations of fuzzy numbers. The presented methods avoid the effortful computation of Karush-Kuhn-Tucker Theorem. Some properties of the new approximation methods are presented and the applicability of the methods is illus...

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Veröffentlicht in:Iranian journal of fuzzy systems (Online) 2016-04, Vol.13 (2), p.111
Hauptverfasser: Khastan, Alireza, Moradi, Zahra
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we consider the width invariant trapezoidal and triangular approximations of fuzzy numbers. The presented methods avoid the effortful computation of Karush-Kuhn-Tucker Theorem. Some properties of the new approximation methods are presented and the applicability of the methods is illustrated by examples. In addition, we show that the proposed approximations of fuzzy numbers preserve the expected value too.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2016.2362