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A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids

A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2017.06.009 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fuzzy Information and Engineering Taylor & Francis

A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids

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A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids

Abstract

AbstractIn this study, we show that ranking fuzzy numbers with the area method using circumcenter of centroids presented by Rao and Shankar failed to rank effectively the generalized fuzzy numbers. By proving a theorem and using some numerical examples, we demonstrate that their proposed method cannot rank consistently some fuzzy numbers or is not consistent with human intuition.
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Publisher
Taylor & Francis
Copyright
© 2017 Fuzzy Information and Engineering Branch of the Operations Research Society of China. Production and hosting by Elsevier B.V. All rights reserved.
ISSN
1616-8666
eISSN
1616-8658
DOI
10.1016/j.fiae.2017.06.009
Publisher site
See Article on Publisher Site

Abstract

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2017.06.009

Journal

Fuzzy Information and Engineering – Taylor & Francis

Published: Jun 1, 2017

Keywords: Fuzzy numbers; Ranking function; Centroid points; Circumcenter

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