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

Authors

  • M. R. Safi Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
  • M. Souzban Department of Applied Mathematics, School of Mathematics and Computer Science, University of Damghan, Damghan, Iran
  • S. S. Nabavi Lecturer, Semnan University, Semnan, Iran
  • Z. Sarmast Faculty of Mathematics, Statistics and Computer Science, University of Houston, Houston, Texas, USA
Abstract:

Probabilistic or stochastic programming is a framework for modeling optimization problems that involve uncertainty.In this paper, we focus on multi-objective linear programmingproblems in which the coefficients of constraints and the righthand side vector are fuzzy random variables. There are several methodsin the literature that convert this problem to a stochastic orfuzzy problem. By using a special type of fuzzy inequality, wetransform the problem into a convenient stochastic problem. Thensome known methods are applied to obtain the optimal solution.Finally, the equivalent multi-objective problem is solved by aninteractive approach. A numerical example is provided to illustrate the procedure.

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Journal title

volume 17  issue 5

pages  43- 52

publication date 2020-10-01

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