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Compromise solutions for stochastic multicriteria acceptability analysis with uncertain preferences and nonmonotonic criteria
Journal article   Peer reviewed

Compromise solutions for stochastic multicriteria acceptability analysis with uncertain preferences and nonmonotonic criteria

Zhiqiang Liao, Huchang Liao and Benjamin Lev
International transactions in operational research, v 29(6), pp 3737-3757
Nov 2022
DOI: https://doi.org/10.1111/itor.13078

Abstract

compromise solution group decision making multiple criteria decision making reference point stochastic multicriteria acceptability analysis
As one of the most popular multiple criteria decision‐making (MCDM) methods, the stochastic multicriteria acceptability analysis (SMAA) is powerful in dealing with the uncertain preference information of decision makers. However, how to find compromise solutions for MCDM problems remains an open question in the SMAA family. A compromise solution refers to an alternative that is the closest to the ideal solution. In this paper, we propose an improved SMAA method, called the SMAA with compromise solutions (SMAA‐CO), to determine compromise solutions for MCDM problems with the uncertain preferences of decision makers and conflicting criteria. The SMAA‐CO uses nonmonotonic additive value functions to depict decision makers’ ideal values for reference points. We apply the proposed method to capture multiple decision makers’ uncertain preference information. An illustrative example concerning supplier selection in the pulp and paper industry is used to show the applicability of the proposed method. Some managerial insights are given.

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8 citations in Web of Science
5 citations in Scopus

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