A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Islamic Azad University, Rasht Branch
2015-07-01
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| Series: | Iranian Journal of Optimization |
| Subjects: | |
| Online Access: | http://ijo.iaurasht.ac.ir/article_522574_d446676fad7da8f0f31c5822c74e1209.pdf |
| _version_ | 1830302340237754368 |
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| author | S.H Nasseri E. Darban Jafari R. Chameh |
| author_facet | S.H Nasseri E. Darban Jafari R. Chameh |
| author_sort | S.H Nasseri |
| collection | DOAJ |
| description | Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on the distance method. Then, an application of using fuzzy ordering in the fuzzy mathematical programming as well as fuzzy primal simplex algorithm is indicated. In particular, we emphasize that the fuzzy ordering will be useful when a decision maker needs to evaluate the optimality condition in any solving process. |
| first_indexed | 2024-12-19T09:05:09Z |
| format | Article |
| id | doaj.art-4ff0f8f7cba943ffac198cf1a0f9258e |
| institution | Directory Open Access Journal |
| issn | 2008-5427 2008-5427 |
| language | English |
| last_indexed | 2024-12-19T09:05:09Z |
| publishDate | 2015-07-01 |
| publisher | Islamic Azad University, Rasht Branch |
| record_format | Article |
| series | Iranian Journal of Optimization |
| spelling | doaj.art-4ff0f8f7cba943ffac198cf1a0f9258e2022-12-21T20:28:21ZengIslamic Azad University, Rasht BranchIranian Journal of Optimization2008-54272008-54272015-07-01072863871522574A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programmingS.H Nasseri0E. Darban Jafari1R. Chameh2Department of Mathematics, University of Mazandaran, Babolsar, IranDepartment of Mathematics, University of Mazandaran, Babolsar, Iran.Department of Mathematics, University of Mazandaran, Babolsar, Iran.Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on the distance method. Then, an application of using fuzzy ordering in the fuzzy mathematical programming as well as fuzzy primal simplex algorithm is indicated. In particular, we emphasize that the fuzzy ordering will be useful when a decision maker needs to evaluate the optimality condition in any solving process.http://ijo.iaurasht.ac.ir/article_522574_d446676fad7da8f0f31c5822c74e1209.pdfFuzzy linear programmingFuzzy Numberfuzzy orderingsimplex algorithm |
| spellingShingle | S.H Nasseri E. Darban Jafari R. Chameh A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming Iranian Journal of Optimization Fuzzy linear programming Fuzzy Number fuzzy ordering simplex algorithm |
| title | A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming |
| title_full | A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming |
| title_fullStr | A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming |
| title_full_unstemmed | A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming |
| title_short | A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming |
| title_sort | new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming |
| topic | Fuzzy linear programming Fuzzy Number fuzzy ordering simplex algorithm |
| url | http://ijo.iaurasht.ac.ir/article_522574_d446676fad7da8f0f31c5822c74e1209.pdf |
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