Employment of a Weighted Fuzzy Multi-Objective Programming Model to Determine the Amount of Optimum Purchasing from Suppliers

In the last decade, purchasing management in supply chain and correctly selection of supplier have been of challenges for the relevant companies. Hence a supplier selection problem, which is generally a Multi-Criteria Decision Making (MADM) problem, was considered as a Multi-Objective Linear Programming (MOLP) problem in the present research. Afterwards, the multi-objective programming model was designed to determine the optimum order values according to the limitations and research objectives and the weighted fuzzy multi-objective programming model and maximum-minimum method were employed in order to solve it. Moreover, fuzzy constraints and the weights of objectives, which are obtained from Fuzzy Analytical Hierarchy Process (FAHP), were put in the objective function related to the max-min model and the model was implemented afterward. Assuming that the decision maker is not satisfied with the obtained response, Arikan model can be used in which the weight of objectives and fuzzy constraints are considered in the model in order to reach to the desired level in the objectives and fuzzy constraints and to specify the amount of optimum purchasing from suppliers.