The paper gives the solution of calculating maximal variance of fuzzy interval in the scope of the theory of imprecise probabilities. As it appears, this problem is more difficul...
Based on the coherence principle of de Finetti and a related notion of generalized coherence (g-coherence), we adopt a probabilistic approach to uncertainty based on conditional p...
Veronica Biazzo, Angelo Gilio, Giuseppe Sanfilippo
In some situations, a decision is best represented by an incompletely analyzed act: conditionally to a certain event, the consequences of the decision on sub-events are perfectly ...
Walley’s Imprecise Dirichlet Model (IDM) for categorical data overcomes several fundamental problems which other approaches to uncertainty suffer from. Yet, to be useful in prac...
We consider the statistical problem of analyzing the association between two categorical variables from cross-classified data. The focus is put on measures which enable one to st...
For cancers with more than one risk factor, the sum of probabilistic estimates of the number of cancers attributable to each individual factor may exceed the total number of cases...
Minh Ha-Duong, Elizabeth Casman, M. Granger Morgan
We adopt the same mathematical model of a set M of probability measures as is central to the theory of coherent imprecise probability. However, we endow this model with an objecti...
In this paper we adopt the geometric approach to the theory of evidence to study the geometric counterparts of the plausibility functions, or upper probabilities. The computation ...