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Fayyaz Rouhbakhsh, Fatemeh, Hassanpour, Hassan, Effati, Sohrab. (1401). Solving fuzzy multi objective linear programming problems: an α-cut approach. پژوهشنامه مدیریت اجرایی, 11(1), 1-14. doi: 10.22080/cjms.2020.17482.1439
Fatemeh Fayyaz Rouhbakhsh; Hassan Hassanpour; Sohrab Effati. "Solving fuzzy multi objective linear programming problems: an α-cut approach". پژوهشنامه مدیریت اجرایی, 11, 1, 1401, 1-14. doi: 10.22080/cjms.2020.17482.1439
Fayyaz Rouhbakhsh, Fatemeh, Hassanpour, Hassan, Effati, Sohrab. (1401). 'Solving fuzzy multi objective linear programming problems: an α-cut approach', پژوهشنامه مدیریت اجرایی, 11(1), pp. 1-14. doi: 10.22080/cjms.2020.17482.1439
Fayyaz Rouhbakhsh, Fatemeh, Hassanpour, Hassan, Effati, Sohrab. Solving fuzzy multi objective linear programming problems: an α-cut approach. پژوهشنامه مدیریت اجرایی, 1401; 11(1): 1-14. doi: 10.22080/cjms.2020.17482.1439

Solving fuzzy multi objective linear programming problems: an α-cut approach

Caspian Journal of Mathematical Sciences
مقاله 1، دوره 11، شماره 1، 2022، صفحه 1-14    اصل مقاله (326.28 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2020.17482.1439
نویسندگان
Fatemeh Fayyaz Rouhbakhsh* 1؛ Hassan Hassanpour2؛ Sohrab Effati3
1Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran
2Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand. Iran.
3Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
تاریخ دریافت: 10 آبان 1398،  تاریخ بازنگری: 16 دی 1398،  تاریخ پذیرش: 17 دی 1398 
چکیده
In this paper, as an extension of Pareto optimality concepts for multi objective programming problems to fuzzy multi objective linear programming (FMOLP) problems, different types of Pareto optimal solutions (POSs), namely, weakly, strictly, and properly POSs are defined on the basis of α-cuts of fuzzy numbers.
Then a method for solving FMOLP problems is proposed to obtain them. It is shown that they can be obtained by solving some non fuzzy multi objective linear programming problems. A numerical
example is solved to illustrate the method.
کلیدواژه‌ها
Multi objective linear programming؛ Fuzzy number؛ Properly α-Pareto optimal solution؛ Weakly α-Pareto optimal solutionو Strictly α-Pareto optimal solution
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