Title of article :
Solving fuzzy multi objective linear programming problems: an α-cut approach
Author/Authors :
Fayyaz Rouhbakhsh ، Fatemeh Faculty of Mathematical Sciences and Statistics - University of Birjand , Hassanpour ، Hassan Faculty of Mathematical Sciences and Statistics - University of Birjand , Effati ، Sohrab Department of Applied Mathematics - Ferdowsi University of Mashhad
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 :
Multi objective linear programming , Fuzzy number , Properly α , Pareto optimal solution , Weakly α , Pareto optimal solution , Strictly α , Pareto optimal solution
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
