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Nabavi, S. S., Souzban, M., Safi, M. R., Sarmast, Z.. (1399). Solving fuzzy stochastic multi-objective programming problems based on a fuzzy inequality. نشریه علمی دانشگاه سیستان و بلوچستان, 17(5), 43-52. doi: 10.22111/ijfs.2020.5513
S. S. Nabavi; M. Souzban; M. R. Safi; Z. Sarmast. "Solving fuzzy stochastic multi-objective programming problems based on a fuzzy inequality". نشریه علمی دانشگاه سیستان و بلوچستان, 17, 5, 1399, 43-52. doi: 10.22111/ijfs.2020.5513
Nabavi, S. S., Souzban, M., Safi, M. R., Sarmast, Z.. (1399). 'Solving fuzzy stochastic multi-objective programming problems based on a fuzzy inequality', نشریه علمی دانشگاه سیستان و بلوچستان, 17(5), pp. 43-52. doi: 10.22111/ijfs.2020.5513
Nabavi, S. S., Souzban, M., Safi, M. R., Sarmast, Z.. Solving fuzzy stochastic multi-objective programming problems based on a fuzzy inequality. نشریه علمی دانشگاه سیستان و بلوچستان, 1399; 17(5): 43-52. doi: 10.22111/ijfs.2020.5513

Solving fuzzy stochastic multi-objective programming problems based on a fuzzy inequality

Iranian Journal of Fuzzy Systems
مقاله 6، دوره 17، شماره 5، آذر و دی 2020، صفحه 43-52    اصل مقاله (343.14 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5513
نویسندگان
S. S. Nabavi* 1؛ M. Souzban2؛ M. R. Safi3؛ Z. Sarmast4
1Lecturer, Semnan University, Semnan, Iran
2Department of Applied Mathematics, School of Mathematics and Computer Science, University of Damghan, Damghan, Iran
3Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
4Faculty of Mathematics, Statistics and Computer Science, University of Houston, Houston, Texas, USA
چکیده
Probabilistic or stochastic programming is a framework for modeling optimization problems that involve uncertainty.
In this paper, we focus on multi-objective linear programming
problems in which the coefficients of constraints and the right
hand side vector are fuzzy random variables. There are several methods
in the literature that convert this problem to a stochastic or
fuzzy problem. By using a special type of fuzzy inequality, we
transform the problem into a convenient stochastic problem. Then
some known methods are applied to obtain the optimal solution.
Finally, the equivalent multi-objective problem is solved by an
interactive approach.
A numerical example is provided to illustrate the procedure.
کلیدواژه‌ها
Multi-objective programming؛ stochastic programming؛ fuzzy programming؛ interactive algorithm
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