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Fuzzy Weber Sets and Lovász Extensions of Cooperative Games

Communications in Computer and Information Science (2014) 442 CCIS(PART 1) 236-245
DOI: 10.1007/978-3-319-08795-5_25
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Abstract

This paper investigates fuzzy extensions of cooperative games and the coincidence of the solutions for fuzzy and crisp games. We first show that an exact game has an exact fuzzy extension such that its fuzzy core coincides with the core. For games with empty cores, we exploit Lovász extensions to establish the coincidence of Weber sets for fuzzy and crisp games. © Springer International Publishing Switzerland 2014.

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Sagara, N. (2014). Fuzzy Weber Sets and Lovász Extensions of Cooperative Games. In Communications in Computer and Information Science (Vol. 442 CCIS, pp. 236–245). Springer Verlag. https://doi.org/10.1007/978-3-319-08795-5_25

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