Sharing profits in formal fuzzy contexts

Cooperative game theory is concerned with situations where a group of agents coordinate their actions to get a common benefit. An allocation rule for these situations is a way to share the common benefit among the agents. The search for a fair allocation rule may depend on the information one has ab...

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Detalles Bibliográficos
Autores: Jiménez Losada, Andrés, Ordóñez Sánchez, Manuel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/153989
Acceso en línea:https://hdl.handle.net/11441/153989
https://doi.org/10.1016/j.fss.2022.12.008
Access Level:acceso abierto
Palabra clave:Cooperative games
Fuzzy concept lattices
Fuzzy sets
Shapley value
Descripción
Sumario:Cooperative game theory is concerned with situations where a group of agents coordinate their actions to get a common benefit. An allocation rule for these situations is a way to share the common benefit among the agents. The search for a fair allocation rule may depend on the information one has about these agents. A formal context represents information about certain attributes of a set of objects in a table, and they have been used in the literature to describe information about the agents in a game. More recently, formal contexts are extended to the fuzzy setting. Now in this paper we establish a methodology to share the profits of a group of agents that have some information about them collected in a fuzzy formal context when those benefits depend on a set of attributes. © 2022 The Authors