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Fuzzy restrictions and an application to cooperative games with restricted cooperation

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Název: Fuzzy restrictions and an application to cooperative games with restricted cooperation
Autoři: Gallardo Morilla, José Manuel, Jiménez Jiménez, María Nieves, Jiménez Losada, Andrés
Přispěvatelé: Universidad de Sevilla. Departamento de Matemática Aplicada II, Universidad de Sevilla. FQM237: Juegos con Estructuras Combinatorias y de Orden, Spanish Ministry of Economy and Competitiveness ECO2010-17766, Andalusian Government grant FQM237
Informace o vydavateli: Taylor and Francis
Rok vydání: 2024
Sbírka: idUS - Deposito de Investigación Universidad de Sevilla
Témata: Restriction, Fuzzy set, Transitive relation, Cooperative game, Restricted cooperation, Interior operator
Popis: The concept of restriction, which is an extension of that of interior operator, was introduced to model limited cooperation in cooperative game theory. In this paper, a fuzzy version of restrictions is presented. We show that these new operators, called fuzzy restrictions, can be characterized by the transitivity of the fuzzy dependence relations that they induce. As an application, we introduce cooperative games with fuzzy restriction, which are used to model cooperative situations in which each player in a coalition has a level of cooperation within the coalition. A value for these games is defined and characterized.
Druh dokumentu: article in journal/newspaper
Jazyk: English
Relation: International Journal of General Systems, 46 (7), 772-790.; ECO2010-17766; FQM237; https://idus.us.es/handle//11441/153584
Dostupnost: https://idus.us.es/handle//11441/153584
Rights: info:eu-repo/semantics/openAccess
Přístupové číslo: edsbas.A869490A
Databáze: BASE
Popis
Abstrakt:The concept of restriction, which is an extension of that of interior operator, was introduced to model limited cooperation in cooperative game theory. In this paper, a fuzzy version of restrictions is presented. We show that these new operators, called fuzzy restrictions, can be characterized by the transitivity of the fuzzy dependence relations that they induce. As an application, we introduce cooperative games with fuzzy restriction, which are used to model cooperative situations in which each player in a coalition has a level of cooperation within the coalition. A value for these games is defined and characterized.