Optimization of vendor selection problem using linear intutionistic fuzzy model

In this paper we propose a linear intuitionistic fuzzy linear model to select the best vendors and determine the order quantity for allocation. The model is a reformulation of Ghodspour and Brien (1998) model where the objective is maximization of the objective function value representing the total value of purchasing. The selection of vendor is based on criteria like cost, quality, delivery, service and capacity constraints. Often data related to these criteria are uncertain or incomplete, so data can be best represented by triangular intutionistic fuzzy number's. The model considers the objective function represented by triangular intutionistic fuzzy number and the constraints are deterministic. The solution of the linear model is based on value and ambiguity indexes. A ranking function is used to convert the intuitionistic fuzzy linear model to crisp linear model and solution is obtained by using optimization software. A numerical example illustrates our methodology to compare a previous model in literature.