.png){kind=icon}
.png){kind=icon}
Return
Do inferential processes affect uncertainty frameworks?
.png){kind=icon}
PRE
AI
DOI：10.1016/j.fss.2013.06.014.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
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. (C) 2013 Elsevier B.V. All rights reserved.
Keywords:
Ordinal relations
Extendibility
Probability
Possibility theory
Journal
IF:
2.7
Papers:
7.6K
Citations:
1.5W