A consensus model for group decision making problems with linguistic interval fuzzy preference relations

► The consensus is a hot topic in the current research on fuzzy group decision making. ► We present a new consensus model to deal with group decision making problems in a new fuzzy linguistic context. ► We assume that the experts express their preferences by means of the linguistic interval fuzzy pr...

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Bibliographic Details
Published in:Expert systems with applications Vol. 39; no. 11; pp. 10022 - 10030
Main Authors: Tapia Garcı´a, J.M., del Moral, M.J., Martínez, M.A., Herrera-Viedma, E.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01-09-2012
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Summary:► The consensus is a hot topic in the current research on fuzzy group decision making. ► We present a new consensus model to deal with group decision making problems in a new fuzzy linguistic context. ► We assume that the experts express their preferences by means of the linguistic interval fuzzy preference relations which is a new framework to develop consensus models. ► We provide a new consensus model that allows to automate the moderator’s actions in the consensus reaching processes in order to achieve a high agreement between the experts. Sometimes, we find decision situations in which it is difficult to express some preferences by means of concrete preference degrees. In this paper, we present a consensus model for group decision making problems in which the experts use linguistic interval fuzzy preference relations to represent their preferences. This model is based on two consensus criteria, a consensus measure and a proximity measure, and on the concept of coincidence among preferences. We compute both consensus criteria in the three representation levels of a preference relation and design an automatic feedback mechanism to guide experts in the consensus reaching process.
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ISSN:0957-4174
1873-6793
DOI:10.1016/j.eswa.2012.02.008