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Journal of Applied Mathematics
Volume 2015 (2015), Article ID 315340, 8 pages
http://dx.doi.org/10.1155/2015/315340
Research Article

Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral

School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China

Received 16 December 2014; Revised 23 March 2015; Accepted 30 March 2015

Academic Editor: Mustafa Inc

Copyright © 2015 Meimei Xia. 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.

Abstract

To reflect the interactions among criteria, Choquet integral is employed to stochastic multicriteria acceptability analysis. Models are first given to roughly identify the best and worst ranking orders of each alternative, based on which the weight information spaces are explored to support some alternative for ranking at some position and calculate the acceptability indices of alternatives. Models are then given to analyze the characters of information spaces, which can describe what kind of information supports alternatives for ranking at some position and can give an analysis about the effect of characters on the decision result. The proposed method considers not only the interactions between two criteria, but also the interactions among three, four, and more criteria. The proposed method can be considered as an extension of the existing ones.