Open Access
2015 Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral
Meimei Xia
J. Appl. Math. 2015: 1-8 (2015). DOI: 10.1155/2015/315340

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.

Citation

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Meimei Xia. "Stochastic Multicriteria Acceptability Analysis Based on Choquet Integral." J. Appl. Math. 2015 1 - 8, 2015. https://doi.org/10.1155/2015/315340

Information

Published: 2015
First available in Project Euclid: 11 June 2015

zbMATH: 07132055
MathSciNet: MR3347333
Digital Object Identifier: 10.1155/2015/315340

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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