Consistency and consensus measures for linguistic preference relations based on distribution assessments
Information FusionPublished 30 January 2012
Guiqing Zhang, Yucheng Dong, Yinfeng Xu
Citations585
SJR quartileQ1
SJR score4.13
SNIP4.60
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TL;DR
The concept of distribution assessments in a linguistic term set is proposed, and the operational laws of linguistic distribution assessments are studied, to provide a theoretic basis for the application of linguistic distributions assessments in group decision making.
Abstract
In this paper, we propose the concept of distribution assessments in a linguistic term set, and study the operational laws of linguistic distribution assessments. The weighted averaging operator and the ordered weighted averaging operator for linguistic distribution assessments are presented. We also develop the concept of distribution linguistic preference relations, whose elements are linguistic distribution assessments. Further, we study the consistency and consensus measures for group decision making based on distribution linguistic preference relations. Two desirable properties of the proposed measures are shown. A consensus model also has been developed to help decision makers improve the consensus level among distribution linguistic preference relations. Finally, illustrative numerical examples are given. The results in this paper provide a theoretic basis for the application of linguistic distribution assessments in group decision making.
Keywords
Computer ScienceDecision Sciences
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