Selecting the most preferable alternatives in a group decision making problem using DEA

Authors:
M. Zerafat Angiz L.;A. Emrouznejad;A. Mustafa;A. Rashidi Komijan
Affiliations:
Department of Mathematics, Islamic, Azad University, Firooz-Kooh, Iran and School of Mathematical Sciences, Universiti Sains Malaysia, Penang Malaysia;Aston Business School, Aston University, Birmingham B4 7ET, UK;School of Mathematical Sciences, Universiti Sains Malaysia, Penang Malaysia;Department of Mathematics, Islamic, Azad University, Firooz-Kooh, Iran
Venue:
Expert Systems with Applications: An International Journal
Year:
2009

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Abstract

Group decision making is the study of identifying and selecting alternatives based on the values and preferences of the decision maker. Making a decision implies that there are several alternative choices to be considered. This paper uses the concept of Data Envelopment Analysis to introduce a new mathematical method for selecting the best alternative in a group decision making environment. The introduced model is a multi-objective function which is converted into a multi-objective linear programming model from which the optimal solution is obtained. A numerical example shows how the new model can be applied to rank the alternatives or to choose a subset of the most promising alternatives.