Stability and Shapley value for an n-persons fuzzy game

Research output: Contribution to journalArticlepeer-review


The aim of the paper is to explain new concepts of solutions for n-persons fuzzy games. Precisely, it contains new definitions for 'core' and 'Shapley value' in the case of the n-persons fuzzy games. The basic mathematical results contained in the paper are these which assert the consistency of the 'core' and of the 'Shapley value'. It is proved that the core (defined in the paper) is consistent for any n-persons fuzzy game and that the Shapley values exists and it is unique for any fuzzy game with proportional values.

Original languageEnglish
Pages (from-to)63-72
Number of pages10
JournalFuzzy Sets and Systems
Issue number1
StatePublished - Jul 1980


  • Core for a n-persons fuzzy game
  • Payoff function
  • Shapley function
  • Shapley value
  • Stable set of payoff functions
  • n-persons fuzzy game

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence


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