Neural Computing and Applications

, Volume 31, Supplement 2, pp 1103–1124 | Cite as

A decision support model for group decision making with intuitionistic fuzzy linguistic preferences relations

  • Feifei JinEmail author
  • Zhiwei Ni
  • Lidan Pei
  • Huayou Chen
  • Yaping Li
  • Xuhui Zhu
  • Liping Ni
Original Article


As a new preference structure, the intuitionistic fuzzy linguistic preference relation (IFLPR) was introduced to efficiently cope with situations in which the membership degree and non-membership degree are represented as linguistic terms. For group decision making (GDM) problems with IFLPRs, two significant and challenging issues are individual consistency and group consensus before deriving the reliable priority weights of alternatives. In this paper, a novel decision support model is investigated to simultaneously deal with the individual consistency and group consensus for GDM with IFLPRs. First, the concepts of multiplicative consistency and weak transitivity for IFLPRs are introduced and followed by a discussion of their desirable properties. Then, a transformation approach is developed to convert the normalized intuitionistic fuzzy priority weights into multiplicative consistent IFLPR. Based on the distance of IFLPRs, the consistency index, individual consensus degree and group consensus degree for IFLPRs are further defined. In addition, two convergent automatic iterative algorithms are proposed in the investigated decision support model. The first algorithm is utilized to convert an unacceptable multiplicative consistent IFLPR to an acceptable one. The second algorithm can assist the group decision makers to achieve a predefined consensus level. The main characteristic of the investigated decision support model is that it guarantees each IFLPR is still acceptable multiplicative consistent when the predefined consensus level is achieved. Finally, several numerical examples are provided, and comparative analyses with existing approaches are performed to demonstrate the effectiveness and practicality of the investigated model.


Group decision making Intuitionistic fuzzy linguistic preference relation Multiplicative consistency Consensus Decision support model 



The work was supported by National Natural Science Foundation of China (Nos. 91546108, 71371011, 71490725, 71501002), the National Key Research and Development Plan under Grant (No. 2016YFF0202604). The authors are thankful to the anonymous reviewers and the editor for their valuable comments and constructive suggestions that have led to an improved version of this paper.

Compliance with ethical standards

Conflict of interest

The authors declared that they have no conflicts of interest to this work.


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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  • Feifei Jin
    • 1
    • 2
    Email author
  • Zhiwei Ni
    • 1
    • 2
  • Lidan Pei
    • 3
  • Huayou Chen
    • 3
  • Yaping Li
    • 1
    • 2
  • Xuhui Zhu
    • 1
    • 4
  • Liping Ni
    • 1
  1. 1.School of ManagementHefei University of TechnologyHefeiChina
  2. 2.Key Laboratory of Process Optimization and Intelligent Decision-MakingMinistry of EducationHefeiChina
  3. 3.School of Mathematical SciencesAnhui UniversityHefeiChina
  4. 4.The Russ College of Engineering and TechnologyOhio UniversityAthensUSA

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