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

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 numericalexample is solved to illustrate the method.

کلیدواژه ها:

Multi objective linear programming ، Fuzzy number ، Properly α-Pareto optimal solution ، Weakly α-Pareto optimal solutionو Strictly α-Pareto optimal solution