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Journal of Applied Mathematics
Volume 2012, Article ID 324712, 18 pages
Research Article

An Interactive Procedure to Solve Multi-Objective Decision-Making Problem: An Improvment to STEM Method

1Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran
2Department of Mathematics, Islamic Azad University, Arak Branch, P.O. Box 38135/567 Arak, Iran

Received 23 November 2011; Revised 17 February 2012; Accepted 10 March 2012

Academic Editor: Leevan Ling

Copyright © 2012 R. Roostaee et al. 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.


Decisions in the real-world contexts are often made in the presence of multiple, conflicting, and incommensurate criteria. Multiobjective programming methods such as multiple objective linear programming (MOLP) are techniques used to solve such multiple-criteria decision-making (MCDM) problems. One of the first interactive procedures to solve MOLP is STEM method. In this paper we try to improve STEM method in a way that we search a point in reduced feasible region whose criterion vector is closest to positive ideal criterion vector and furthest to negative ideal criterion vector. Therefore the presented method tries to increase the rate of satisfactoriness of the obtained solution. Finally, a numerical example for illustration of the new method is given to clarify the main results developed in this paper.