A fuzzy multiobjective linear programming problems for a supplier selection model under flexibility conditions

Supplier selection is one of the main discussions in the Supply Chain.The issue of assigning purchase orders to suppliers that act differently in terms of quality, cast, services, etc. criteria is one of the significant concerns of purchase managers in the supply chain.To adopt an optimal decision in this regard is related to a multi-objective problem that the objectives are contradicting each other and have different importance and priority depending on the location.In practice, the existence of kind of ambiguity in explaining the information related to the problem constraints and complicated.In this regard, the emergence of Fuzzy set theory as a tool to describe such conditions besides presenting question model realistically can help to solve such problems well.Despite the importance of the model with the mentioned structure, unfortunately, few original works have been done in this field.As a result, in this paper, in addition to presenting a new multi-objective Fuzzy model being modelled based on assigning purchase order to suppliers in a supply chain a solution method is introduced based on using Fuzzy linear programming.To clarify solution process modelling and description, a case study is included related to selecting flour supplier for providing industrial bread of Khoshkar factory.The proposed model includes four objective functions: 1) Aggregate costs of minimizing type, 2) Services of maximizing type (such as packing, being faithful to promise, factory heath, discount, correct transportation, good relationships, honestly, etc.), 3) Flour useful survival of maximizing type (regarding monthly flour buying by the factory), 4) The purchased flour quality of maximizing type (concerning product type).Especially in the solution process, a method is determined based on setting weight for each of the objectives concerning the major factory stockholders.