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Journal Articles Annals of Operations Research Year : 1998

Multicriteria filtering methods based on concordance and non-discordance principles

Abstract

This paper introduces multicriteria decision-aid methods for assigning alternatives topre-defined categories and develops a unified framework for preference aggregation methodsthat are based on concordance and non-discordance principles. Within this framework,we propose new multicriteria classification procedures based on non-totally compensatorymeasures of preference and similarity. We assume that the categories are given a priori andare characterised by fictitious alternatives serving as reference points, each representing atypical element of a category, or each representing a boundary between two categories.Several assignment methods are presented, all based on a filtering process exploiting binaryrelations constructed following the concordance and non-discordance principles. We firstconsider the case of ordered categories and a filtering procedure exploiting valued preferencerelations is proposed for assessing the membership of alternatives in categories. Then weconsider the case of non-ordered categories and filtering methods exploiting valued in-difference relations are introduced. Finally, a small example is given.

Dates and versions

hal-01195771 , version 1 (08-09-2015)

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Patrice Perny. Multicriteria filtering methods based on concordance and non-discordance principles. Annals of Operations Research, 1998, 80, pp.137-165. ⟨10.1023/A:1018907729570⟩. ⟨hal-01195771⟩
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