06112042

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06112042 Martinetti, Davide Montes, Susana D\'{\i}az, Susana De Baets, Bernard Some comments to the fuzzy version of the Arrow-Sen theorem. Greco, Salvatore (ed.) et al., Advances in computational intelligence. 14th international conference on information processing and management of uncertainty in knowledge-based systems, IPMU 2012, Catania, Italy, July 9--13, 2012. Proceedings, Part IV. Berlin: Springer (ISBN 978-3-642-31723-1/pbk; 978-3-642-31724-8/ebook). Communications in Computer and Information Science 300, 286-295 (2012). 2012 Berlin: Springer EN

doi:10.1007/978-3-642-31724-8_30

Summary: The Arrow-Sen theorem is one of the most important results concerning rationality of choice functions. It states that under suitable hypothesis, several definitions of rationality given by different authors can be considered equivalent. Following the same spirit, other authors have proved that further definitions can also be considered equivalent to rationality. In this work we consider the fuzzy version of this problem, using the most general definition of fuzzy choice function possible. Older results are recalled and in many cases improved and also new theorems are proposed.