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The potential and consistency of the Owen value for fuzzy cooperative games with a coalition structure

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Listed:
  • Zijun Li

    (Central South University)

  • Fanyong Meng

    (Central South University)

Abstract

This paper extends the potential function and consistency to the Owen value for fuzzy cooperative games with a coalition structure. First, we prove that the unique payoff index satisfying the potential function is the Owen value. Then, we characterize the Owen value for fuzzy cooperative games with a coalition structure by fuzzy balanced contributions and fuzzy consistency, respectively. Finally, an example in supply chain is given to illustrate the relationship between the Owen value and potential function for fuzzy cooperative games with a coalition structure and solve the problem of payoff distribution in supply chain under fuzzy environment.

Suggested Citation

  • Zijun Li & Fanyong Meng, 2023. "The potential and consistency of the Owen value for fuzzy cooperative games with a coalition structure," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 387-414, September.
    • Handle: RePEc:spr:fuzodm:v:22:y:2023:i:3:d:10.1007_s10700-022-09397-w
    DOI: 10.1007/s10700-022-09397-w
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    References listed on IDEAS

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