A method for stochastic multiple criteria decision making based on dominance degrees

Authors:
Yang Liu;Zhi-Ping Fan;Yao Zhang
Affiliations:
Department of Management Science and Engineering, School of Business Administration, Northeastern University, Shenyang 110004, China;Department of Management Science and Engineering, School of Business Administration, Northeastern University, Shenyang 110004, China;Department of Economics, School of Business Administration, Northeastern University, Shenyang 110004, China
Venue:
Information Sciences: an International Journal
Year:
2011

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Abstract

This paper proposes a method for solving the stochastic multiple criteria decision making (SMCDM) problem, where consequences of alternatives with respect to criteria are represented by random variables with probability distributions. Firstly, definitions and related analysis of dominance degree of one probability distribution over another are given. Then, by calculating the dominance degrees, the dominance degree matrix of alternative pairwise comparisons with respect to each criterion is built. Further, using PROMETHEE II method, an overall dominance degree matrix of alternative pairwise comparisons is constructed, and a net flow of each alternative is calculated. Based on the obtained net flows, a ranking of alternatives is determined. Finally, numerical examples for the three cases are given to illustrate the use of the proposed method.