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Additive Consistency and Group Decision‐Making Consensus Analysis of Hesitant‐Intuitionistic Fuzzy Preference Relations

Author

Listed:
  • Xue Feng
  • Sheng Ling Geng
  • Yong Ming Li

Abstract

The paper addresses the group decision‐making (GDM) problem involving hesitant‐intuitionistic fuzzy preference relations (HIFPRs), focusing on additive consistency and group consensus analysis. Firstly, to preserve the original decision information effectively, the consistency improvement algorithm is designed to identify decision information requiring modification and subsequently execute a localized adjustment process. Secondly, an algorithm is developed to derive HIFPRs that satisfy both acceptable consistency and group consensus simultaneously. Additionally, an approach for calculating decision‐maker weights is proposed. Finally, to address GDM challenges within hesitant‐intuitionistic fuzzy scenarios, a novel decision method is presented. The validity of the proposed GDM approach is demonstrated through a case study involving the selection of outstanding students for exchange learning. Comparative analysis illustrates the method’s rationale and advantages.

Suggested Citation

  • Xue Feng & Sheng Ling Geng & Yong Ming Li, 2025. "Additive Consistency and Group Decision‐Making Consensus Analysis of Hesitant‐Intuitionistic Fuzzy Preference Relations," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:5426992
    DOI: 10.1155/jom/5426992
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    References listed on IDEAS

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    1. Juan-juan Peng & Jian-qiang Wang & Xiao-hui Wu & Hong-yu Zhang & Xiao-hong Chen, 2015. "The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(13), pages 2335-2350, October.
    2. Huchang Liao & Zeshui Xu & Meimei Xia, 2014. "Multiplicative Consistency Of Hesitant Fuzzy Preference Relation And Its Application In Group Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 47-76.
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