Pareto-optimal solutions in multi-objective linear programming with fuzzy numbers

Supply chain has attracted many interests in operations research area. The supplier selection problem is one of the most interesting problem in supply chain subject and its solution process is related to a multi-objective programming model. In this paper, we consider a Multi-Objective Linear Programming with Fuzzy Numbers (FNMOLP) problem. In fact, we try to reduce the multi-objective linear programming with fuzzy numbers to the classical multi-objective linear programming using a linear ranking function. Finally we solve the obtained Multi-Objective Linear Programming (MOLP) by max-min operator and weighted method. We finally illustrate the mentioned approach with presenting a case study which is formulated from an automobile industrial.

Fuzzy linear programming, Multi-objective linear programming, Pareto- optimal solution, Ranking function, Supply chain, Trapezoidal fuzzy numbers.