This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, a Vendor Selection Problem (VSP) with fuzzy parameter uncertainty is introduced. The buyer gives a quantity order for a commodity among a set of suppliers. Buyer’s objective is to obtain the requirements of lead time, service level and aggregate quality at the minimum cost. Some of the problem parameters are characterized by the piecewise quadratic fuzzy numbers. In addition, an interval approximation for piecewise quadratic fuzzy numbers is proposed for solving the VSP. The VSP with close interval approximation is approached by taking the minimum and maximum values inequalities with the constraints transformed it to two classical Linear Programming Problems (LPPs). The optimal solution for these LPPs is obtained. A numerical example is provided for illustration of the suggested approach.
nunn