A solution procedure to solve multi-objective linear fractional programming problem in neutrosophic fuzzy environment
In this paper, an attempt has been taken to develop a method to solve the neutrosophic multiobjective linear fractional programming (NMOLFPP) problem. In the first step of our method, the problem is linearized based on some transformations. Then, the linearized model is reduced to a crisp multi-obje...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2023-11-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_3728_bc0be59dc0f595cc32faae1991cd12f9.pdf |
| _version_ | 1827347346900385792 |
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| author | Elham Hosseinzadeh |
| author_facet | Elham Hosseinzadeh |
| author_sort | Elham Hosseinzadeh |
| collection | DOAJ |
| description | In this paper, an attempt has been taken to develop a method to solve the neutrosophic multiobjective linear fractional programming (NMOLFPP) problem. In the first step of our method, the problem is linearized based on some transformations. Then, the linearized model is reduced to a crisp multi-objective programming problem with the help of the accuracy function for each objective. In the following, we extended Zimmerman’s approach to maximize the truth membership and minimize the indeterminacy and falsity membership functions in the solution procedure. Finally, to illustrate the proposed approach, a numerical example is included. |
| first_indexed | 2024-03-07T23:48:10Z |
| format | Article |
| id | doaj.art-6e32ea26e9324067a5fb958aec664bff |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-07T23:48:10Z |
| publishDate | 2023-11-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-6e32ea26e9324067a5fb958aec664bff2024-02-19T09:29:20ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-11-0113111112610.22103/jmmr.2023.20387.13503728A solution procedure to solve multi-objective linear fractional programming problem in neutrosophic fuzzy environmentElham Hosseinzadeh0Department of mathematics, Kosar university of Bojnord,Bojnord, IranIn this paper, an attempt has been taken to develop a method to solve the neutrosophic multiobjective linear fractional programming (NMOLFPP) problem. In the first step of our method, the problem is linearized based on some transformations. Then, the linearized model is reduced to a crisp multi-objective programming problem with the help of the accuracy function for each objective. In the following, we extended Zimmerman’s approach to maximize the truth membership and minimize the indeterminacy and falsity membership functions in the solution procedure. Finally, to illustrate the proposed approach, a numerical example is included.https://jmmrc.uk.ac.ir/article_3728_bc0be59dc0f595cc32faae1991cd12f9.pdfmultiobjective programming problemneutrosophic setsingle valued trapezoidal neutrosophic numberindeterminacy membership functions |
| spellingShingle | Elham Hosseinzadeh A solution procedure to solve multi-objective linear fractional programming problem in neutrosophic fuzzy environment Journal of Mahani Mathematical Research multiobjective programming problem neutrosophic set single valued trapezoidal neutrosophic number indeterminacy membership functions |
| title | A solution procedure to solve multi-objective linear fractional programming problem in neutrosophic fuzzy environment |
| title_full | A solution procedure to solve multi-objective linear fractional programming problem in neutrosophic fuzzy environment |
| title_fullStr | A solution procedure to solve multi-objective linear fractional programming problem in neutrosophic fuzzy environment |
| title_full_unstemmed | A solution procedure to solve multi-objective linear fractional programming problem in neutrosophic fuzzy environment |
| title_short | A solution procedure to solve multi-objective linear fractional programming problem in neutrosophic fuzzy environment |
| title_sort | a solution procedure to solve multi objective linear fractional programming problem in neutrosophic fuzzy environment |
| topic | multiobjective programming problem neutrosophic set single valued trapezoidal neutrosophic number indeterminacy membership functions |
| url | https://jmmrc.uk.ac.ir/article_3728_bc0be59dc0f595cc32faae1991cd12f9.pdf |
| work_keys_str_mv | AT elhamhosseinzadeh asolutionproceduretosolvemultiobjectivelinearfractionalprogrammingprobleminneutrosophicfuzzyenvironment |