Name
Abstract | ||
|---|---|---|
This paper studies the connections among different (comparative or numerical) degrees of belief. In particular we consider, in turn, a comparative probability or possibility on a given Boolean algebra and we prove that their upper extensions to a different Boolean algebra are, respectively, a comparative plausibility or possibility. On the other hand, in general the upper extension of a comparative necessity is simply a comparative capacity. Moreover, by considering a suitable condition of weak logical independence between the two Boolean algebras, we prove that the upper ordinal relation is a comparative possibility in all the aforementioned cases. We consider specifically also the lower ordinal relations, since they may not be the comparative dual relation of the upper ones. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.fss.2013.06.014 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
comparative probability,inferential process,upper ordinal relation,comparative plausibility,uncertainty framework,upper extension,comparative possibility,boolean algebra,comparative dual relation,comparative necessity,comparative capacity,different boolean algebra,probability,possibility theory | Discrete mathematics,Ordinal number,Possibility theory,Boolean algebra,Mathematics | Journal |
Volume | ISSN | Citations |
239, | 0165-0114 | 1 |
PageRank | References | Authors |
0.37 | 15 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giulianella Coletti | 1 | 572 | 71.49 |
| Romano Scozzafava | 2 | 367 | 48.05 |
| B. Vantaggi | 3 | 12 | 0.97 |