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

Document Type : Research Articles

Authors

1 Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran

2 Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand. Iran.

3 Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

Abstract

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.

Keywords

Caspian Journal of Mathematical Sciences
Volume 11, Issue 1
2022
Pages 1-14

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