Eliciting Electre Tri category limits for a group of decision makers

Olivier Cailloux, Patrick Meyer and Vincent Mousseau

European Journal of Operational Research, 2012, vol. 223, issue 1, 133-140

Abstract: Multiple criteria sorting aims at assigning alternatives evaluated on several criteria to predefined ordered categories. In this paper, we consider a well known multiple criteria sorting method, Electre Tri, which involves three types of preference parameters: (1) category limits defining the frontiers between consecutive categories, (2) weights and majority level specifying which coalitions form a majority, and (3) veto thresholds characterizing discordance effects. We propose an elicitation procedure to infer category limits from assignment examples provided by multiple decision makers. The procedure computes a set of category limits and vetoes common to all decision makers, with variable weights for each decision maker. Hence, the method helps reaching a consensus among decision makers on the category limits and veto thresholds, whereas finding a consensus on weights is left aside. The inference procedure is based on mixed integer linear programming and performs well even for datasets corresponding to real-world decision problems. We provide an illustrative example of the use of the method and analyze the performance of the proposed algorithms.

Keywords: Multiple criteria analysis; Sorting methods; Preference elicitation; Multiple decision makers (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:223:y:2012:i:1:p:133-140

DOI: 10.1016/j.ejor.2012.05.032

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