Set-valued cooperative games with fuzzy payoffs. The fuzzy assignment game |
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Authors: | L Monroy MA Hinojosa AM Mármol FR Fernández |
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Institution: | 1. Departamento de Economía Aplicada III, Universidad de Sevilla, Avda. Ramón y Cajal No. 1, 41018 Sevilla, Spain;2. Departamento de Economía, Métodos Cuantitativos e Historia Económica, Universidad Pablo de Olavide, Spain;3. Departamento de Economía Aplicada III, Universidad de Sevilla, Spain;4. Departamento de Estadística e Investigación Operativa, Universidad de Sevilla, Spain |
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Abstract: | In this paper we study cooperative games with fuzzy payoffs. The main advantage of the approach presented is the incorporation into the analysis of the problem of ambiguity inherent in many real-world collective decision situations. We propose extensions of core concepts which maintain the fuzzy nature of allocations, and lead to a more satisfactory study of the problem within the fuzzy context. Finally, we illustrate the extended core concepts and the approach to obtain the corresponding allocations through the analysis of assignment games with uncertain profits. |
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Keywords: | Fuzzy sets Game theory Assignment games |
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