a weighted linear regression model with impercise response and p-real explanatory variables is analyzed. the lr fuzzy random variable is introduced and a metric is suggested for coping with this kind of variables. a least square solution for estimating the parameters of the model is derived. the result are illustrated by the means of some case studies.

Although bivariate imprecise copulas have recently attracted substantial attention, the multivariate case seems still to be open. So, it is natural test first on shock model induced copulas, a family which might most useful in various applications. We investigate some of shocks are assumed and develop corresponding set copulas. In Marshall's we get coherent distributions where bounds naturally ...

An imprecise probability distribution is an instance of second-order uncertainty, that is, uncertainty about uncertainty, or uncertainty for short. Another instance is an imprecise possibility distribution. Computation with imprecise probabilities is not an academic exercise—it is a bridge to reality. In the real world, imprecise probabilities are the norm rather than exception. In large measur...