Name
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.3233/IFS-120733 | Journal of Intelligent and Fuzzy Systems |
Keywords | Field | DocType |
fuzzy individual preference,fuzzy weak preference relation,Generalized manipulability,social choice function,transitive fuzzy preference relation,fuzzy preference,fuzzy social choice function,social choice,strategic manipulation problem,social decision,non-manipulable fuzzy social choice,max-min transitive fuzzy preference | Social choice theory,Mathematical economics,Preference relation,Fuzzy cognitive map,Fuzzy logic,Artificial intelligence,Type-2 fuzzy sets and systems,Social decision making,Membership function,Mathematics,Machine learning,Transitive relation | Journal |
Volume | Issue | ISSN |
26 | 1 | 1064-1246 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Olfa Meddeb | 1 | 5 | 1.09 |
| Fouad Ben Abdelaziz | 2 | 304 | 25.80 |
| José Rui Figueira | 3 | 852 | 59.84 |