An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers

An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers

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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 analytica...

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Main Authors: Sh. Yeganehmanesh, M. Amirfakhrian
Format: Article
Language:English
Published: Etamaths Publishing 2018-03-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1609
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spelling doaj-47b48631c9df41efae5ed72b66d03afb2021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-03-01162290305304An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy NumbersSh. YeganehmaneshM. AmirfakhrianIn 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.<br />http://etamaths.com/index.php/ijaa/article/view/1609
collection DOAJ
language English
format Article
sources DOAJ
author Sh. Yeganehmanesh
M. Amirfakhrian
spellingShingle Sh. Yeganehmanesh
M. Amirfakhrian
An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers
International Journal of Analysis and Applications
author_facet Sh. Yeganehmanesh
M. Amirfakhrian
author_sort Sh. Yeganehmanesh
title An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers
title_short An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers
title_full An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers
title_fullStr An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers
title_full_unstemmed An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers
title_sort approximation of fuzzy numbers based on polynomial form fuzzy numbers
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2018-03-01
description 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.<br />
url http://etamaths.com/index.php/ijaa/article/view/1609
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AT mamirfakhrian anapproximationoffuzzynumbersbasedonpolynomialformfuzzynumbers
AT shyeganehmanesh approximationoffuzzynumbersbasedonpolynomialformfuzzynumbers
AT mamirfakhrian approximationoffuzzynumbersbasedonpolynomialformfuzzynumbers
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