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Group Decision and Negotiation

, Volume 22, Issue 3, pp 463–482 | Cite as

Compatibility Analysis of Intuitionistic Fuzzy Preference Relations in Group Decision Making

  • Zeshui XuEmail author
Article

Abstract

Compatibility analysis is an efficient and important tool used to measure the consensus of opinions within a given group of individuals. In this paper, we give a compatibility measure between intuitionistic preference values and a compatibility measure between intuitionistic preference relations, respectively, and study their properties. It is shown that each individual intuitionistic preference relation and the collective intuitionistic preference relation is perfectly compatible if and only if all the individual intuitionistic preference relations are perfectly compatible. Based on the compatibility measures, a consensus reaching procedure in group decision making with intuitionistic preference relations is developed, and a method for comparing intuitionistic fuzzy values is pointed out, by which the considered objects are ranked and selected. In addition, we extend the developed measures, procedure and method to accommodate group decision making situations with interval-valued intuitionistic preference relations. Numerical analysis on our results through an illustrative example is also carried out.

Keywords

Group decision making Intuitionistic preference relations Interval-valued intuitionistic preference relations Compatibility measure 

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.School of Economics and ManagementSoutheast UniversityNanjingChina
  2. 2.Institute of SciencesPLA University of Science and TechnologyNanjingChina

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