The fuzzy core in games with fuzzy coalitions

DOI10.1016/J.CAM.2008.11.004zbMath1165.91004OpenAlexW2006469274MaRDI QIDQ1026443

Xiaohui Yu, Qiang Zhang

Publication date: 25 June 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.11.004

zbMATH Keywords

cooperative gamefuzzy coalitionfuzzy coreShapley functionconvexity of cooperative gamefuzzy Shapley value

Mathematics Subject Classification ID

Cooperative games (91A12) Theory of fuzzy sets, etc. (03E72)

Related Items (14)

The fuzzy core and Shapley function for dynamic fuzzy games on matroids ⋮ The least square B-nucleolus for fuzzy cooperative games ⋮ A note on the core: minimal conversely consistent enlargement ⋮ The Shapley function for fuzzy cooperative games with multilinear extension form ⋮ Linear fuzzy game with coalition interaction and its coincident solutions ⋮ Cooperative Fuzzy Games with Convex Combination Form ⋮ Fuzzy Harsanyi solution for a kind of fuzzy coalition games ⋮ Quadratic programming method for cooperative games with coalition values expressed by triangular fuzzy numbers and its application in the profit distribution of logistics coalition ⋮ Game analysis and benefit allocation in international projects among owner, supervisor and contractor ⋮ A bi-average tree solution for probabilistic communication situations with fuzzy coalition ⋮ Fuzzy Average Tree Solution for Graph Games with Fuzzy Coalitions ⋮ Generalized form solutions of cooperative game with fuzzy coalition structure ⋮ CHOQUET EXTENSION OF COOPERATIVE GAMES ⋮ Uncertain production environment and communication structure

Cites Work

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• Stability and Shapley value for an \(n\)-persons fuzzy game
• Fuzzy games: A description of the concept
• On cores and stable sets for fuzzy games
• A lexicographical solution concept in an \(n\)-person cooperative fuzzy game
• Shapley mappings and the cumulative value for \(n\)-person games with fuzzy coalitions
• Multilinear Extensions of Games
• A Shapley function on a class of cooperative fuzzy games.

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