Eliciting ELECTRE TRI category limits for a group of decision makers. Cailloux, O., Meyer, P., & Mousseau, V. European Journal of Operational Research, 223(1):133–140, November, 2012.
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Article doi abstract bibtex 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 example provided by multiple decision makers. The procedure computes a set of category limits common to all decision makers, with variable weights and vetoes for each decision maker. Hence, the method helps reaching a consensus among decision makers on the category limits, whereas finding a consensus on weights and vetoes 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 method and analyze the performance of the proposed algorithms.
@article{cailloux_eliciting_2012,
title = {Eliciting {ELECTRE} {TRI} category limits for a group of decision makers},
keywords = {Preference modeling},
volume = {223},
issn = {0377-2217},
doi = {10.1016/j.ejor.2012.05.032},
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 example provided by multiple decision makers. The procedure computes a set of category limits common to all decision makers, with variable weights and vetoes for each decision maker. Hence, the method helps reaching a consensus among decision makers on the category limits, whereas finding a consensus on weights and vetoes 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 method and analyze the performance of the proposed algorithms.},
number = {1},
journal = {European Journal of Operational Research},
author = {Cailloux, Olivier and Meyer, Patrick and Mousseau, Vincent},
month = nov,
year = {2012},
pages = {133--140},
url_HAL = {https://hal.archives-ouvertes.fr/hal-00739582},
IGNORED_COMMENT = {also presented at The 21st International Conference on Multiple Criteria Decision Making, Jyväskylä, Finlande, June 2011: http://hal.archives-ouvertes.fr/hal-00609521},
url_Article = {https://hal.archives-ouvertes.fr/hal-00739582/document}
}