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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 497826, 14 pages
Research Article

Multiple Objective Fuzzy Sourcing Problem with Multiple Items in Discount Environments

Department of Industrial Engineering, Gazi University, Maltepe, 06570 Ankara, Turkey

Received 23 July 2014; Revised 4 December 2014; Accepted 4 December 2014

Academic Editor: Tsan-Ming Choi

Copyright © 2015 Feyzan Arikan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The selection of proper supply sources plays a vital role to maintain companies’ competitiveness. In this study a multiple criteria fuzzy sourcing problem with multiple items in discount environment is considered as a multiple objective mixed integer linear programming problem. Fuzzy parameters are demand level and/or aspiration levels of objectives. Three objective functions are minimization of the total production and ordering costs, the total number of rejected units, and the total number of late delivered units, respectively. The model is developed for the all-units discount scheme. For the incremental discount and volume discount environment, modification requirements of the model are mentioned. The previously proposed interactive fuzzy approach combined with three fuzzy mathematical models is employed to obtain most satisfactory solution which is also a nondominated one. This study provides a realistic mathematical model and promising solution strategy to multiple item-single period sourcing problem in discount environment. Consideration of fuzziness makes the obtained nondominated solution implementable for the real cases.