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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2017-06-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865817301474 |
| _version_ | 1797711018675142656 |
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| author | Seyed Hadi Nasseri Nemataollah Taghi-Nezhad Ali Ebrahimnejad |
| author_facet | Seyed Hadi Nasseri Nemataollah Taghi-Nezhad Ali Ebrahimnejad |
| author_sort | Seyed Hadi Nasseri |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T06:59:44Z |
| format | Article |
| id | doaj.art-2dbe0192edae4bd183339bfc06eaf3c0 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T06:59:44Z |
| publishDate | 2017-06-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-2dbe0192edae4bd183339bfc06eaf3c02023-09-02T23:45:29ZengTsinghua University PressFuzzy Information and Engineering1616-86582017-06-019225926810.1016/j.fiae.2017.06.009A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of CentroidsSeyed Hadi Nasseri0Nemataollah Taghi-Nezhad1Ali Ebrahimnejad2Department of Mathematics, University of Mazandaran, Babolsar, IranDepartment of Mathematics, University of Mazandaran, Babolsar, IranDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranIn 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.http://www.sciencedirect.com/science/article/pii/S1616865817301474Fuzzy numbersRanking functionCentroid pointsCircumcenter |
| spellingShingle | Seyed Hadi Nasseri Nemataollah Taghi-Nezhad Ali Ebrahimnejad A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids Fuzzy Information and Engineering Fuzzy numbers Ranking function Centroid points Circumcenter |
| title | A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids |
| title_full | A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids |
| title_fullStr | A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids |
| title_full_unstemmed | A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids |
| title_short | A Note on Ranking Fuzzy Numbers with an Area Method using Circumcenter of Centroids |
| title_sort | note on ranking fuzzy numbers with an area method using circumcenter of centroids |
| topic | Fuzzy numbers Ranking function Centroid points Circumcenter |
| url | http://www.sciencedirect.com/science/article/pii/S1616865817301474 |
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