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

Zijun Li and Fanyong Meng ()
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Zijun Li: Central South University
Fanyong Meng: Central South University

Fuzzy Optimization and Decision Making, 2023, vol. 22, issue 3, No 3, 387-414

Abstract: 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.

Keywords: Fuzzy cooperative games with a coalition structure; The Owen value; Potential function; Fuzzy consistency; Fuzzy balanced contributions (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10700-022-09397-w

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