Arrow??s theorem and max-star transitivity |
| |
Authors: | Conal Duddy Juan Perote-Pe?a Ashley Piggins |
| |
Institution: | (1) D?partement de Math?matiques et Informatique, Facult? des Sciences, Universit? de Douala, B.P. 24157, Douala, Cameroun;(2) D?partement de Math?matiques, Ecole Normale Sup?rieure, Universit? de Yaound? I, B.P. 47, Yaounde, Cameroun |
| |
Abstract: | In the literature on social choice with fuzzy preferences, a central question is how to represent the transitivity of a fuzzy
binary relation. Arguably the most general way of doing this is to assume a form of transitivity called max-star transitivity.
The star operator in this formulation is commonly taken to be a triangular norm. The familiar max- min transitivity condition
is a member of this family, but there are infinitely many others. Restricting attention to fuzzy aggregation rules that satisfy
counterparts of unanimity and independence of irrelevant alternatives, we characterise the set of triangular norms that permit
preference aggregation to be non-dictatorial. This set contains all and only those norms that contain a zero divisor. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|