An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers

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Sh. Yeganehmanesh, M. Amirfakhrian, An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers, Int. J. Anal. Appl., 16 (2) (2018), 290-305.

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Sh. Yeganehmanesh, M. Amirfakhrian

Abstract

In this paper, we approximate an arbitrary fuzzy number by a polynomial fuzzy number through minimizing the distance between them. Throughout this work, we used a distance that is a meter on the set of all fuzzy numbers with continuous left and right spread functions. To support our claims analytically, we have proven some theorems and given supplementary corollaries.

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