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.
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Sagara, N. (2014). Fuzzy Weber Sets and Lovász Extensions of Cooperative Games. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 442. Springer, Cham. https://doi.org/10.1007/978-3-319-08795-5_25
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DOI: https://doi.org/10.1007/978-3-319-08795-5_25
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08794-8
Online ISBN: 978-3-319-08795-5
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