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Open AccessJournal ArticleDOI

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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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

On measures of cohesiveness under dichotomous opinions: Some characterizations of approval consensus measures

TL;DR: This paper considers situations where each member of a population classifies a list of options as either ''acceptable'' or ''non-acceptable'' and proposes the novel concept of approval consensus measure (ACM), which does not refer to any priors of the agents like preferences or other decision-making processes.
Journal ArticleDOI

Determinateness of the Utility Function: Revisiting a Controversy of the Thirties

TL;DR: In this article, it is shown that the validity of first-differences of utility implies cardinality in the choice-theoretic context is not in general true, but it becomes valid if utility functions are continuous and are defined on a connected topological space.
Book ChapterDOI

Consensus Perspectives: Glimpses into Theoretical Advances and Applications

TL;DR: The polysemic meanings of consensus are surveyed from several points of view, ranging from philosophical aspects and characterizations of several quantification measures within the Social Choice framework, to practical applications in Decision Making and Biomathematics, among others.
Journal ArticleDOI

Pairwise Dichotomous Cohesiveness Measures

TL;DR: In this article, the cohesiveness of opinions expressed by experts or agents on a fixed set of issues in a population is analyzed and a parametric family of related measures are introduced and axiomatically characterized.
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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.