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<p>We consider cooperative games where the characteristic function is valued in the space of the fuzzy numbers. By using different fuzzy calculation methods to transform the game into a crisp cooperative one, we define and characterize an efficient extension of the Shapley value. This solution is a relevant member of a wider family of more general, fuzzy calculation method dependent extensions of the Shapley value.</p>

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An efficient Shapley value for games with fuzzy characteristic function

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月2日

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  • Lina Mallozzi,
  • Juan Vidal-Puga

摘要

We consider cooperative games where the characteristic function is valued in the space of the fuzzy numbers. By using different fuzzy calculation methods to transform the game into a crisp cooperative one, we define and characterize an efficient extension of the Shapley value. This solution is a relevant member of a wider family of more general, fuzzy calculation method dependent extensions of the Shapley value.