Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 223, Issue 1, Pages 133-140Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2012.05.032
Keywords
Multiple criteria analysis; Sorting methods; Preference elicitation; Multiple decision makers
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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. (C) 2012 Elsevier B.V. All rights reserved.
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