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A cardinal dissensus measure based on the Mahalanobis distance

TLDR
A new class of distance-based consensus model, the family of the Mahalanobis dissensus measures for profiles of cardinal values, is proposed.
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This article is published in European Journal of Operational Research.The article was published on 2016-06-01 and is currently open access. It has received 12 citations till now. The article focuses on the topics: Mahalanobis distance.

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Journal ArticleDOI

A new measure of consensus with reciprocal preference relations

TL;DR: A detailed study of the formal properties of the new correlation consensus degree shows that it verifies important properties that are common either to distance or to similarity functions between intensities of preferences, and it is proved that it is different to traditional consensus measures.
Journal ArticleDOI

A new consensus ranking approach for correlated ordinal information based on Mahalanobis distance

TL;DR: A new procedure to codify ordinal information is provided and characterized and a new measurement of the degree of dissensus among individual preferences based on the Mahalanobis distance is defined.
Journal ArticleDOI

Minimum deviation ordinal consensus reaching in GDM with heterogeneous preference structures

TL;DR: The minimum deviation consensus ranking model (MDCRM), which seeks to minimize the ordinal information deviation between the original and adjusted preference orderings in the process of reaching consensus, is proposed and the properties of the optimal solution to MDCRM are studied.
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Codifications of complete preorders that are compatible with Mahalanobis disconsensus measures

TL;DR: In this paper, the authors introduce the use of the Mahalanobis distance for the analysis of the cohesiveness of a group of linear orders or complete preorders, and prove that arbitrary codifications of the preferences are incompatible with this formulation, while affine transformations permit to compare profiles on the basis of such a proposal.
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Q1. What contributions have the authors mentioned in the paper "A cardinal dissensus measure based on the mahalanobis distance" ?

In this paper the authors address the problem of measuring the degree of consensus/dissensus in a context where experts or agents express their opinions on alternatives or issues by means of cardinal evaluations. To this end the authors propose a new class of distance-based consensus model, the family of the Mahalanobis dissensus measures for profiles of cardinal values. Finally, an application over a real empirical example is presented and discussed.