On Polarizing Outranking Relations with Large Performance Differences
نویسندگان
چکیده
منابع مشابه
On polarizing outranking relations with large performance differences
We introduce a bipolarly extended veto principle – a positive, as well as negative, large performance differences polarization – which allows us to extend the definition of the classical outranking relation in such a way that the identity between its asymmetric part and its codual relation is preserved.
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In this article, we tackle the problem of exploring the structure of the data which is underlying a bipolar-valued outranking relation. More precisely, we show how the performances of alternatives and weights related to criteria can be determined from three different formulations of the bipolar-valued outranking relations, which are given beforehand.
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Outranking relations such as produced by the Electre I or II or the Tactic methods are based on a concordance and non-discordance principle that leads to declaring that an alternative is “superior” to another, if the coalition of attributes supporting this proposition is “sufficiently important” (concordance condition) and if there is no attribute that “strongly rejects” it (non-discordance con...
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The purpose of this paper is to study some properties of outranking relations based on a concordance-discordance principle. We show that, whenever the structure of the set of alternatives is sufficiently rich, imposing "nice" transitivity properties on such outranking relations always leads to a somewhat unappealing distribution of "power" among the various attributes. These results directly ap...
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We consider a finite set of alternatives A = {a1, a2, . . . , am} evaluated on a family of n criteria F = {g1, g2, . . . , gn}. Let N = {1, 2, . . . , n}. To each criterion gi ∈ F is assigned a positive weight wi. It is supposed wlog that the weights are normalized so that ∑n i=1wi = 1. Let Xi = {gi(a) : a ∈ A} be the set of evaluations of the alternatives on the ith criterion. It is supposed t...
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ژورنال
عنوان ژورنال: Journal of Multi-Criteria Decision Analysis
سال: 2012
ISSN: 1057-9214
DOI: 10.1002/mcda.1472