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A cardinal dissensus measure based on the Mahalanobis distance

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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.
References
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Book

The Proof and Measurement of Association Between Two Things

C. Spearman
TL;DR: The present article is a commencement at attempting to remedy this deficiency of scientific correlation, and the meaning and working of the various formulæ have been explained sufficiently, it is hoped, to render them readily usable even by those whose knowledge of mathematics is elementary.
Book

Measures of association for cross classifications

TL;DR: In this article, a number of alternative measures are considered, almost all based upon a probabilistic model for activity to which the cross-classification may typically lead, and only the case in which the population is completely known is considered, so no question of sampling or measurement error appears.
Journal ArticleDOI

Matrix Algebra From a Statistician's Perspective.

David A. Harville
- 01 Sep 1998 - 
TL;DR: In this article, the authors consider the minimization of a second-degree polynomial subject to linear constraints and show that the Moore-Penrose inverse can be reduced to a linear transformation.
MonographDOI

Mathematics without Numbers

Stewart Shapiro, +1 more
- 25 Nov 1993 - 
Journal ArticleDOI

A consensus model for multiperson decision making with different preference structures

TL;DR: The main improvement of this consensus model is that it supports consensus process automatically, without moderator, and, in such a way, the possible subjectivity that the moderator can introduce in the consensus process is avoided.
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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.