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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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Citations
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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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Journal ArticleDOI

Multiplicative consistency of intuitionistic reciprocal preference relations and its application to missing values estimation and consensus building

TL;DR: The feedback mechanism is proved to converge to unanimous consensus when all experts are provided with recommendations and these are fully implemented, and an IRPR fuzzy majority based quantier-guided nondominance degree based prioritisation method using the associated score reciprocal preference relation is proposed to obtain the nal solution of consensus.
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Consensus and perceived satisfaction levels: a cross-cultural comparison of GSS and non-GSS outcomes within and between the United States and Mexico

TL;DR: An exploratory investigation of the effects of "national culture" upon group consensus levels and perceptions of participation equity and satisfaction within GSS environments and non-GSS (manual) environments indicates no significant differences in consensus levels between GSS and manual treatments.
Book

Multivariate Statistics: High-Dimensional and Large-Sample Approximations

TL;DR: In this paper, the authors present a generalization of the T2Statistic to a multivariate linear regression model, which is based on a combination of T2 and Lambda statistics.
Journal ArticleDOI

On the Borda-Kendall Consensus Method for Priority Ranking Problems

TL;DR: In this paper, the Borda-Kendall method does not perform as claimed in the case of ties and a "minimum variance" method for determining the consensus ranking is proposed and its properties examined.
Journal ArticleDOI

Multiperson decision making with different preference representation structures: A direct consensus framework and its properties

TL;DR: This study shows that the proposed framework can avoid internal inconsistency issue when using the transformation functions among different preference representation structures and satisfies the Pareto principle of social choice theory.
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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.