| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10324044 | Fuzzy Sets and Systems | 2005 | 18 Pages |
Abstract
In this paper we generalize some classical factorizations of a fuzzy relation into a symmetric component (indifference) and an asymmetric and regular component (regular fuzzy strict preference). From the above notions, we establish two properties of any regular fuzzy strict preference of a max-*-transitive fuzzy relation, which are then used to obtain new fuzzy versions of Gibbard's oligarchy theorem and Arrow's impossibility theorem.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Louis Aimé Fono, Nicolas Gabriel Andjiga,