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Cooperative games with fuzzy characteristic functions on concept lattices
International Journal of Approximate Reasoning. 2025. Vol. 186. Article 109527.
This paper introduces cooperative games with transferable utilities and fuzzy characteristic functions on concept lattices. While previous works have independently addressed games with fuzzy payoffs and games restricted to structured coalition systems such as lattices, our approach combines both perspectives. We consider cooperative settings where coalition formation is constrained by a concept lattice structure, and the payoff for each feasible coalition is uncertain and represented by a fuzzy quantity. We define a generalized Shapley value for such games, extending previous characterizations proposed for fuzzy games and lattice-structured games. We also provide an axiomatic characterization of this value and illustrate its applicability through a practical example.
Language:
English
Keywords: решетки понятийconcept latticesнечеткие величиныcooperative gamesкооперативные игрыFuzzy quantities
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