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A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making

Author

Listed:
  • Min Xue

    (Hefei University of Technology
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making and Information System Technologies)

  • Chao Fu

    (Hefei University of Technology
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making and Information System Technologies)

  • Shanlin Yang

    (Hefei University of Technology
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making and Information System Technologies)

Abstract

When a decision-maker prefers to compare different alternatives in pairs to handle real situations, there are many different expression styles that can be used. Two representative expression styles are the probabilistic linguistic preference relation (PLPR), which originates from the fuzzy linguistic approach and the distributed preference relation (DPR), which originates from the evidential reasoning approach. Although these two expression styles look quite similar, their meanings, operations, and relevant decision making processes are significantly different. This presents the decision-maker with the challenge of selecting either PLPRs or DPRs in different real cases. To address this issue, this paper provides a detailed analysis of the similarities and differences between PLPRs and DPRs. The analysis is conducted from five perspectives, including modeling of decision making problems, handling of uncertainty, consistency between preference relations, information aggregation, and elicitation process. An engineer selection problem for an automobile manufacturing enterprise is investigated to demonstrate how to appropriately select PLPRs or DPRs to model and analyze decision making problems in real situations with consideration for the preferences of decision-makers.

Suggested Citation

  • Min Xue & Chao Fu & Shanlin Yang, 2022. "A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 71-97, March.
    • Handle: RePEc:spr:fuzodm:v:21:y:2022:i:1:d:10.1007_s10700-021-09357-w
    DOI: 10.1007/s10700-021-09357-w
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    References listed on IDEAS

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