Affiliations: LARODEC, Institut Supérieur de Gestion, Cité Bouchoucha, Le Bardo, Tunisia | Rouen Business School - 1, Mont-Saint-Aignan, France | CEG-IST, Center for Management Studies, Instituto Superior Técnico, Technical University of Lisbon, Porto Salvo, Portugal
Note: [] Corresponding author. Olfa Meddeb, LARODEC, Institut Supérieur de Gestion, 41, Rue de la liberté, Cité Bouchoucha, 2000 Le Bardo, Tunisia. E-mails: [email protected] (Olfa Meddeb); [email protected] (Fouad Ben Abdelaziz); [email protected] (José Rui Figueira).
Abstract: In many social decision making contexts, a manipulator attempts to change the social choice in his favor by misrepresenting his preferences. This paper deals with the strategic manipulation problem of social choice functions aggregating fuzzy individual preferences. It defines how the strategic misrepresentation of fuzzy preferences can be profitable for an individual with a fuzzy weak preference relation. The case of max-$\top$-transitive fuzzy preference relations is considered where $\top$ is a t-norm. Then, the impossibility of building a non-manipulable fuzzy social choice function except the dictatorial one is established, generalizing thus the well-known Gibbard-Satterthwaite's result. The obtained results generalizes also the one of Ben Abdelaziz et al. for max-min transitive fuzzy preference relations.
