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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.
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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 consistency measures of linguistic preference relations

TL;DR: A consistency index of linguistic preference relations is presented and a consistency measure method is developed to ensure that the decision maker is being neither random nor illogical in his or her pairwise comparisons using the linguistic label set.
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Consensus under a fuzzy context: Taxonomy, analysis framework AFRYCA and experimental case of study

TL;DR: A taxonomy that provides an overview and categorization of some existing consensus models for group decision making problems defined in a fuzzy context, taking into account the main features of each model is proposed.
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A social network analysis trust-consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations

TL;DR: A social network analysis (SNA) trust-consensus based group decision making model with interval-valued fuzzy reciprocal preference relation (IFRPR) with main novelty is that it determines the importance degree of experts by combining two reliable resources: trust degree (TD) and consensus level (CL).
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Distance-based and ad hoc consensus models in ordinal preference ranking

TL;DR: Various extensions of the basic ordinal ranking structures, paying specific attention to partial ranking, voting member weighted consensus, ranking with intensity of preference, and rank correlation methods, are discussed as alternative approaches to deriving a consensus.
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Two consensus models based on the minimum cost and maximum return regarding either all individuals or one individual

TL;DR: Two kinds of minimum cost models are proposed with regard to all the individuals and one particular individual respectively, and the economic significance of these two models is shown by exploring their dual models grounded in the primal–dual linear programming 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.