Group Decision Making Based on Acceptably Consistent Interval Multiplicative Preference Relations

  • Zhen ZhangEmail author
  • Wenyu Yu
  • Chonghui Guo
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 660)


In this paper, group decision making problems based on interval multiplicative preference relations are investigated. First, the acceptable consistency property for an interval multiplicative preference relation is discussed, based on which some optimization models are established to derive an acceptably consistent interval multiplicative preference relation based on the initial one. The interval multiplicative preference relation derived by the proposed model has the minimum deviation from the initial one and can preserve the decision information as much as possible. Subsequently, an approach to group decision making with interval multiplicative preference relations is developed based on the proposed models. Eventually, a numerical example is provided to illustrate the proposed approach.


Group decision making Interval multiplicative preference relation Consistency Optimization 



This work was supported by the National Natural Science Foundation of China (Nos. 71501023, 71171030), the Funds for Creative Research Groups of China (No. 71421001), the China Postdoctoral Science Foundation (2015M570248) and the Fundamental Research Funds for the Central Universities (DUT15RC(3)003).


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Copyright information

© Springer Nature Singapore Pte Ltd. 2016

Authors and Affiliations

  1. 1.Institute of Systems EngineeringDalian University of TechnologyDalianPeople’s Republic of China
  2. 2.Institute of Information Management and Information SystemsDalian University of TechnologyDalianPeople’s Republic of China

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