1. Fuzzy restrictions and an application to cooperative games with restricted cooperation
- Author
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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, Gallardo Morilla, José Manuel, Jiménez Jiménez, María Nieves, Jiménez Losada, Andrés, 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, Gallardo Morilla, José Manuel, Jiménez Jiménez, María Nieves, and Jiménez Losada, Andrés
- 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.
- Published
- 2017