Predicting the optimal solution in fuzzy linear programming problem
In this paper we try to define a percentage form of LR fuzzy numbers which is a useful form of fuzzy numbers and its’ arithmetics. So, we show how the maximum variation range of optimal value of fuzzy objective function can be predicted by using this form of fuzzy numbers. Since fuzzy problems are...
| الحاوية / القاعدة: | Қарағанды университетінің хабаршысы. Математика сериясы |
|---|---|
| المؤلفون الرئيسيون: | , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
Academician Ye.A. Buketov Karaganda University
2021-03-01
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/416 |
| _version_ | 1850126157667631104 |
|---|---|
| author | S.M. Davoodi N.A. Abdul Rahman |
| author_facet | S.M. Davoodi N.A. Abdul Rahman |
| author_sort | S.M. Davoodi |
| collection | DOAJ |
| container_title | Қарағанды университетінің хабаршысы. Математика сериясы |
| description |
In this paper we try to define a percentage form of LR fuzzy numbers which is a useful form of fuzzy numbers and its’ arithmetics. So, we show how the maximum variation range of optimal value of fuzzy objective function can be predicted by using this form of fuzzy numbers. Since fuzzy problems are generally solved through a complicated manner, the purpose of this study is releasing a kind of prediction for the final solution in the way that the manager can access to an outlook to optimal solution (Z∗) without solving the problem. Finally, optimal value of fuzzy objective function on fuzzy linear programming is predicted whenmaximum variation range of fuzzy variable have been predetermined.
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| format | Article |
| id | doaj-art-213ed3ea8d8249a9bb69bf61ba3adc51 |
| institution | Directory of Open Access Journals |
| issn | 2518-7929 2663-5011 |
| language | English |
| publishDate | 2021-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| spelling | doaj-art-213ed3ea8d8249a9bb69bf61ba3adc512025-08-19T23:54:20ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112021-03-01101110.31489/2021m1/25-36Predicting the optimal solution in fuzzy linear programming problemS.M. DavoodiN.A. Abdul Rahman In this paper we try to define a percentage form of LR fuzzy numbers which is a useful form of fuzzy numbers and its’ arithmetics. So, we show how the maximum variation range of optimal value of fuzzy objective function can be predicted by using this form of fuzzy numbers. Since fuzzy problems are generally solved through a complicated manner, the purpose of this study is releasing a kind of prediction for the final solution in the way that the manager can access to an outlook to optimal solution (Z∗) without solving the problem. Finally, optimal value of fuzzy objective function on fuzzy linear programming is predicted whenmaximum variation range of fuzzy variable have been predetermined. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/416Percentage form of fuzzy numbersFuzzy numberFuzzy linear programmingFuzzy Arithmetic |
| spellingShingle | S.M. Davoodi N.A. Abdul Rahman Predicting the optimal solution in fuzzy linear programming problem Percentage form of fuzzy numbers Fuzzy number Fuzzy linear programming Fuzzy Arithmetic |
| title | Predicting the optimal solution in fuzzy linear programming problem |
| title_full | Predicting the optimal solution in fuzzy linear programming problem |
| title_fullStr | Predicting the optimal solution in fuzzy linear programming problem |
| title_full_unstemmed | Predicting the optimal solution in fuzzy linear programming problem |
| title_short | Predicting the optimal solution in fuzzy linear programming problem |
| title_sort | predicting the optimal solution in fuzzy linear programming problem |
| topic | Percentage form of fuzzy numbers Fuzzy number Fuzzy linear programming Fuzzy Arithmetic |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/416 |
| work_keys_str_mv | AT smdavoodi predictingtheoptimalsolutioninfuzzylinearprogrammingproblem AT naabdulrahman predictingtheoptimalsolutioninfuzzylinearprogrammingproblem |