Summary: Multi-criteria decision making method is used in when there are mutliple targets. In multi criteria linear programming problems, when value of the function parameters on objects and constraints can not be measured precisely by experts and decision makers, fuzzy multicriteria linear programming methods are used to solve the problems. Analytic hierarchy process (AHP), one of the multi-criteria decision-making methods, is designed to solve complex problems. The AHP solution process is based on weighting of the targets. In this study, multiple criteria decision making problems and expert opinions for these problems are discussed. In the first stage, fuzzy multi criteria linear programming problem is solved with Zimmerman and Hybrid approaches which are take part in literature. In the literature, these methods are applied using triangular fuzzy numbers. In this study, as an alternative to the triangular fuzzy number given as experts opinions, trapezoidal fuzzy numbers are defined. Also, in literature, conditions that objective functions are only minimization are discussed. In this study, in addition to this, conditions that some of objective functions are maximization are examined. Finally, a solution algorithm, containing the matter in hand conditions for solving fuzzy multi criteria linear programming problems, is proposed. And this algorithm is executed by means of written programme using example data. The obtained results were compared with results obtained from the approaches in the literature.
Key Words: Fuzzy Multi-Objective Linear Programming, AHP (Analytic Hierarchy Process), Zimmerman Approach, Hybrid Approach |