An efficient Shapley value for games with fuzzy characteristic function

Lina Mallozzi () and Juan Vidal-Puga ()
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Lina Mallozzi: Università di Napoli Federico II, Dipartimento di Matematica e Applicazioni R. Caccioppoli
Juan Vidal-Puga: Universidade de Vigo. Economics, Society and Territory (ECOSOT) and Departamento de Estatística e IO

Fuzzy Optimization and Decision Making, 2025, vol. 24, issue 4, No 3, 643-668

Abstract: Abstract 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.

Keywords: Cooperative game; Shapley value; Fuzzy set; Efficiency (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10700-025-09461-1

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