Managing consistency and consensus measures and adjustment strategies in group decision making with probabilistic linguistic preference relations

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)7421-7445
Journal / PublicationJournal of Intelligent and Fuzzy Systems
Volume41
Issue number6
Online published16 Dec 2021
Publication statusPublished - 2021

Abstract

The use of probabilistic linguistic preference relations (PLPRs) in pairwise comparisons enhances the flexibility of quantitative decision making. To promote the application of probabilistic linguistic term sets (PLTSs) and PLPRs, this paper introduces the consistency and consensus measures and adjustment strategies to guarantee the rationality of preference information utilized in the group decision making process. First of all, a novel entropy-based similarity measure is developed with PLTSs. Hereafter an improved consistency measure is defined on the basis of the proposed similarity measure, and a convergent algorithm is constructed to deal with the consistency improving process. Furthermore, a similarity-based consensus measure is developed in a given PLPR, and the consensus reaching process is presented to deal with the unacceptable consensus degree. The proposed consistency improving and consensus reaching processes follow a principle of minimum information loss, called a local adjustment strategy. In particular, the presented methods not only overcome the deficiencies in existing studies but also enhance the interpretation and reduce the complexity of the group decision making process. Finally, the proposed consistency measure and improving process, as well as consensus measure and reaching process are verified through a numerical example for the medical plan selection issue. The result and in-depth comparison analysis validate the feasibility and effectiveness of the proposed methods.

Research Area(s)

  • Group decision making, PLTSs, PLPRs, consistency, consensus, TERM SETS, DISTRIBUTION ASSESSMENTS, SIMILARITY MEASURES, MINIMUM ADJUSTMENT, INFORMATION, FRAMEWORK, SELECTION, TAXONOMY, MODEL

Citation Format(s)

Managing consistency and consensus measures and adjustment strategies in group decision making with probabilistic linguistic preference relations. / Liang, Pei; Hu, Junhua; Chin, Kwaisang.
In: Journal of Intelligent and Fuzzy Systems, Vol. 41, No. 6, 2021, p. 7421-7445.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review