This paper proposes a mathematical framework and methodology for groupdecision-making under multi-granular and multi-attributelinguisticassessments. It is based on distances between linguisticassessments and a degree of consensus. Distances in the space of qualitative assessments are defined from the geodesic distance in graph theory and the Minkowski distance. The degree of consensus is defined through the concept of entropy of a qualitatively-described system. Optimal assessments in terms of both proximity to all the expert opinions in the group and the degree of consensus are used to compare opinions and define a methodology to rank multi-attribute alternatives.

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Rosell Saur, Lloren; Snchez Soler, Mnica; Agell Jan, Nria; Prats Duaygues, Francesc; Mazaira Font, Ferran-Antonio

Using consensus and distances between generalized multi-attribute linguistic assessments for group decision-making

05/2014
This paper proposes a mathematical framework and methodology for groupdecision-making under multi-granular and multi-attributelinguisticassessments. It is based on distances between linguisticassessments and a degree of consensus. Distances in the space of qualitative assessments are defined from the geodesic distance in graph theory and the Minkowski distance. The degree of consensus is defined through the concept of entropy of a qualitatively-described system. Optimal assessments in terms of both proximity to all the expert opinions in the group and the degree of consensus are used to compare opinions and define a methodology to rank multi-attribute alternatives.
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Using consensus and distances between generalized multi-attribute linguistic assessments for group decision-making
Rosell Saur, Lloren; Snchez Soler, Mnica; Agell Jan, Nria; Prats Duaygues, Francesc; Mazaira Font, Ferran-Antonio
Information Fusion
Vol. 17, n 1, 05/2014, p. 83 - 92

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