Consistency analysis is a crucial topic for preference relations. This paper studies the consistency of interval linguistic fuzzy preference relations (ILFPRs) using the constrained interval linguistic arithmetic and introduces a new consistency definition. Then, several properties of this definition are researched. Meanwhile, the connection between this concept and a previous one is discussed. Following this concept, programming models for judging the consistency and for deriving consistent ILFPRs are constructed, respectively. Considering the case that incomplete ILFPRs may be obtained, a programming model for obtaining missing judgments following the consistency discussion is built. Afterwards, the consensus for group decision making (GDM) is studied and a model for adjusting individual ILFPRs to reach the consensus threshold is established. Consequently, an interactive procedure for GDM with ILFPRs is presented. A practical problem is provided to illustrate the utilization of the new algorithm and comparative discussion is offered. First published online 19 July 2019


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    Title :

    Interval linguistic fuzzy decision making in perspective of preference relations


    Contributors:
    Meng, Fanyong (author) / Tang, Jia (author) / Zhang, Shaolin (author)

    Publication date :

    2019-07-19


    Remarks:

    doi:10.3846/tede.2019.10548
    Technological and Economic Development of Economy; Vol 25 No 5 (2019); 998-1015 ; 2029-4921 ; 2029-4913



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629