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

In 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...

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Bibliographic Details
Published inFuzzy information and engineering Vol. 9; no. 2; pp. 259 - 268
Main Authors Nasseri, Seyed Hadi, Taghi-Nezhad, Nemataollah, Ebrahimnejad, Ali
Format Journal Article
LanguageEnglish
Published Abingdon Elsevier B.V 01.06.2017
Taylor & Francis Group
Tsinghua University Press
Subjects
Centroid points
Centroids
Circumcenter
Fuzzy numbers
Mathematical programming
Pareto optimum
Ranking
Ranking function
Centroid points
Ranking function
Fuzzy numbers
Circumcenter
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Summary:In 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.
ISSN:1616-8658
1616-8666
DOI:10.1016/j.fiae.2017.06.009