Solving of the Quadratic Fractional Programming Problems by a Modified Symmetric Fuzzy Approach
The aims of the paper are to present a modified symmetric fuzzy approach to find the best workable compromise solution for quadratic fractional programming problems (QFPP) with fuzzy crisp in both the objective functions and the constraints. We introduced a modified symmetric fuzzy by proposing a p...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2022-10-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/2858 |
| _version_ | 1828327138636333056 |
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| author | Maher A. Nawkhass Nejmaddin A. Sulaiman |
| author_facet | Maher A. Nawkhass Nejmaddin A. Sulaiman |
| author_sort | Maher A. Nawkhass |
| collection | DOAJ |
| description |
The aims of the paper are to present a modified symmetric fuzzy approach to find the best workable compromise solution for quadratic fractional programming problems (QFPP) with fuzzy crisp in both the objective functions and the constraints. We introduced a modified symmetric fuzzy by proposing a procedure, that starts first by converting the quadratic fractional programming problems that exist in the objective functions to crisp numbers and then converts the linear function that exists in the constraints to crisp numbers. After that, we applied the fuzzy approach to determine the optimal solution for our quadratic fractional programming problem which is supported theoretically and practically. The computer application for the algorithm was tested, and finally compared modified symmetric fuzzy approach with the modified simplex approach which is shown in the table 1. Finally, the procedures of numeric results in the paper indicate that modified symmetric fuzzy approach is reliable and saves valuable time.
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| first_indexed | 2024-04-13T19:50:22Z |
| format | Article |
| id | doaj.art-bbd41edd1f814b2e8f60d05563379f46 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-13T19:50:22Z |
| publishDate | 2022-10-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-bbd41edd1f814b2e8f60d05563379f462022-12-22T02:32:34ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072022-10-0135410.30526/35.4.2858Solving of the Quadratic Fractional Programming Problems by a Modified Symmetric Fuzzy ApproachMaher A. Nawkhass0Nejmaddin A. Sulaiman1Department of Mathematics, Collage of Education, Salahaddin University of ErbilDepartment of Mathematics, Collage of Education, Salahaddin University-Erbil, Iraq, The aims of the paper are to present a modified symmetric fuzzy approach to find the best workable compromise solution for quadratic fractional programming problems (QFPP) with fuzzy crisp in both the objective functions and the constraints. We introduced a modified symmetric fuzzy by proposing a procedure, that starts first by converting the quadratic fractional programming problems that exist in the objective functions to crisp numbers and then converts the linear function that exists in the constraints to crisp numbers. After that, we applied the fuzzy approach to determine the optimal solution for our quadratic fractional programming problem which is supported theoretically and practically. The computer application for the algorithm was tested, and finally compared modified symmetric fuzzy approach with the modified simplex approach which is shown in the table 1. Finally, the procedures of numeric results in the paper indicate that modified symmetric fuzzy approach is reliable and saves valuable time. https://jih.uobaghdad.edu.iq/index.php/j/article/view/2858modified simplex approachfuzzy systemmodified symmetric fuzzyQFPP |
| spellingShingle | Maher A. Nawkhass Nejmaddin A. Sulaiman Solving of the Quadratic Fractional Programming Problems by a Modified Symmetric Fuzzy Approach Ibn Al-Haitham Journal for Pure and Applied Sciences modified simplex approach fuzzy system modified symmetric fuzzy QFPP |
| title | Solving of the Quadratic Fractional Programming Problems by a Modified Symmetric Fuzzy Approach |
| title_full | Solving of the Quadratic Fractional Programming Problems by a Modified Symmetric Fuzzy Approach |
| title_fullStr | Solving of the Quadratic Fractional Programming Problems by a Modified Symmetric Fuzzy Approach |
| title_full_unstemmed | Solving of the Quadratic Fractional Programming Problems by a Modified Symmetric Fuzzy Approach |
| title_short | Solving of the Quadratic Fractional Programming Problems by a Modified Symmetric Fuzzy Approach |
| title_sort | solving of the quadratic fractional programming problems by a modified symmetric fuzzy approach |
| topic | modified simplex approach fuzzy system modified symmetric fuzzy QFPP |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/2858 |
| work_keys_str_mv | AT maheranawkhass solvingofthequadraticfractionalprogrammingproblemsbyamodifiedsymmetricfuzzyapproach AT nejmaddinasulaiman solvingofthequadraticfractionalprogrammingproblemsbyamodifiedsymmetricfuzzyapproach |