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Fuzzy restrictions and an application to cooperative games with restricted cooperation

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Bibliographic Details
Title: Fuzzy restrictions and an application to cooperative games with restricted cooperation
Authors: Gallardo Morilla, José Manuel, Jiménez Jiménez, María Nieves, Jiménez Losada, Andrés
Contributors: 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
Publisher Information: Taylor and Francis
Publication Year: 2024
Collection: idUS - Deposito de Investigación Universidad de Sevilla
Subject Terms: Restriction, Fuzzy set, Transitive relation, Cooperative game, Restricted cooperation, Interior operator
Description: 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.
Document Type: article in journal/newspaper
Language: English
Relation: International Journal of General Systems, 46 (7), 772-790.; ECO2010-17766; FQM237; https://idus.us.es/handle//11441/153584
Availability: https://idus.us.es/handle//11441/153584
Rights: info:eu-repo/semantics/openAccess
Accession Number: edsbas.A869490A
Database: BASE
Description
Abstract: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.