Journal
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 46, Issue 7, Pages 772-790Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081079.2017.1324855
Keywords
Restriction; fuzzy set; transitive relation; cooperative game; restricted cooperation; interior operator
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Funding
- Spanish Ministry of Science and Innovation [ECO2013-17766-P]
- Andalusian Government [FQM237]
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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.
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