Set-valued cooperative games with fuzzy payoffs. The fuzzy assignment game

In this paper we study cooperative games with fuzzy payoffs. The main advantage of the approach presented is the incorporation into the analysis of the problem of ambiguity inherent in many real-world collective decision situations. We propose extensions of core concepts which maintain the fuzzy nature of allocations, and lead to a more satisfactory study of the problem within the fuzzy context. Finally, we illustrate the extended core concepts and the approach to obtain the corresponding allocations through the analysis of assignment games with uncertain profits.

► A model of cooperative game with fuzzy payoffs is introduced.
► Dominance and preference cores are defined for set-valued games with fuzzy payoffs.
► Games originated from assignment problems with fuzzy profits are analyzed.
► Solutions for fuzzy assignment games are characterized.
► Procedures to obtain solutions are described.