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Interval linguistic fuzzy decision making in perspective of preference relations

    Fanyong Meng Affiliation
    ; Jia Tang Affiliation
    ; Shaolin Zhang Affiliation

Abstract

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

Keyword : GDM, ILFPR, consistency, programming model, constrained interval linguistic arithmetic

How to Cite
Meng, F., Tang, J., & Zhang, S. (2019). Interval linguistic fuzzy decision making in perspective of preference relations. Technological and Economic Development of Economy, 25(5), 998-1015. https://doi.org/10.3846/tede.2019.10548
Published in Issue
Jul 19, 2019
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This work is licensed under a Creative Commons Attribution 4.0 International License.

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