Width invariant approximation of fuzzy numbers

نویسندگان
Khastan, Alireza ID 1
Moradi, Zahra ID 2

1 Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran

2 Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran

doi
10.22111/ijfs.2016.2362
چکیده

In this paper, we consider the width invariant trapezoidal and triangularapproximations 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.

کلیدواژه‌ها
Extended trapezoidal fuzzy numbers, Trapezoidal approximations, Triangular approximations, Width, Expected value