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August 21, 2026
Social Integration: At the Crossroads of Knowledge and Values
The International Laboratory for Social Integration Research (ILSIR) at HSE University studies the challenges faced by vulnerable groups and explores ways to help them participate fully in everyday life. To develop effective solutions, the laboratory’s researchers combine cutting-edge methods with practical fieldwork. In this interview with the HSE News Service, Laboratory Head Elena Iarskaia-Smirnova discusses the laboratory’s work.
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Cooperative games with fuzzy characteristic functions on concept lattices

International Journal of Approximate Reasoning. 2025. Vol. 186. Article 109527.
Kemgne M. W., Njionou B. B., Ignatov D. I., Kwuida L.

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.

Research target: Mathematics Computer Science Economics and Management
Language: English
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Keywords: решетки понятийconcept latticesнечеткие величиныcooperative gamesкооперативные игрыFuzzy quantities
Publication based on the results of:
Complex language and semantic models in artificial intelligence (2025)
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