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Managing Missing Preference Values Through Consistency and Consensus in Distributed Linguistic Preference Relations: A Two-stage Method Based on Personalized Individual Semantics

Author

Listed:
  • Cong-Cong Li

    (Southwest Jiaotong University)

  • Yuan Gao

    (Sichuan University)

  • Yucheng Dong

    (Sichuan University)

Abstract

Linguistic distribution, as a flexible representation structure, is often used in linguistic decision-making. Several approaches have been proposed for managing the missing elements in incomplete preference relations when decision makers cannot provide all the linguistic comparisons between alternatives in preference relations. However, in linguistic decision-making, words can mean different things to different people, which implies the necessity of personalizing individual semantics. This study proposes a two-stage method, including a personalized individual semantics (PIS)-based consistency model and a PIS-based consensus model, to manage PIS and missing elements in incomplete distributed linguistic preference relations (DLPRs). The proposed method combines the characteristics of the personalization of linguistic expression and estimates the missing values, guaranteeing optimum consistency and consensus at the same time in group decision-making with incomplete DLPRs. Numerical and comparison analyses were performed to illustrate the use of the two-stage method, and demonstrates the various numerical meanings of words and the features of the obtained complete DLPRs from the proposed model.

Suggested Citation

  • Cong-Cong Li & Yuan Gao & Yucheng Dong, 2023. "Managing Missing Preference Values Through Consistency and Consensus in Distributed Linguistic Preference Relations: A Two-stage Method Based on Personalized Individual Semantics," Group Decision and Negotiation, Springer, vol. 32(1), pages 125-146, February.
    • Handle: RePEc:spr:grdene:v:32:y:2023:i:1:d:10.1007_s10726-022-09802-0
    DOI: 10.1007/s10726-022-09802-0
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    References listed on IDEAS

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    1. Fedrizzi, Michele & Giove, Silvio, 2007. "Incomplete pairwise comparison and consistency optimization," European Journal of Operational Research, Elsevier, vol. 183(1), pages 303-313, November.
    2. Wen-Tao Guo & Van-Nam Huynh & Yoshiteru Nakamori, 2015. "An Interval Linguistic Distribution Model for Multiple Attribute Decision Making Problems with Incomplete Linguistic Information," International Journal of Knowledge and Systems Science (IJKSS), IGI Global, vol. 6(4), pages 16-34, October.
    3. Cong-Cong Li & Yuan Gao & Yucheng Dong, 2021. "Managing Ignorance Elements and Personalized Individual Semantics Under Incomplete Linguistic Distribution Context in Group Decision Making," Group Decision and Negotiation, Springer, vol. 30(1), pages 97-118, February.
    4. Feifei Jin & Zhiwei Ni & Reza Langari & Huayou Chen, 2020. "Consistency Improvement-Driven Decision-Making Methods with Probabilistic Multiplicative Preference Relations," Group Decision and Negotiation, Springer, vol. 29(2), pages 371-397, April.
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