The aim of this paper is to review the different operators defined in the Theory of Evidence. All of them are presented from the same point of view. Special attention is given to the logical operators: conjunction (Dempster's Rule), disjunction and negation (defined by Dubois and Prade), and the operators changing the level of granularity on the set of possible states (partitions, fuzzy partitions, etc.).
In this paper, we introduce some definitions of uncertainty orders for random vectors in a sublinear expectation space. We all know that, under some continuity conditions, each sublinear expectation 𝔼 has a robust representation as the supremum of a family of probability measures. We describe uncertainty orders from two different viewpoints. One is from sublinear operator viewpoint. After giving definitions such as monotonic orders, convex orders and increasing convex orders, we use these uncertainty...
En este artículo nos proponemos dar la caracterización axiomática de un criterio de decisión en ambiente de riesgo, entendiendo como tal una regla que selecciona un subconjunto de un conjunto dado. Este método de caracterizar un criterio de decisión parece más natural que el de suponer a-priori, es decir, como axioma, un preorden completo en el espacio de distribuciones de probabilidad. Adoptando este punto de vista se da una serie de axiomas de racionalidad que caracterizan el criterio de la utilidad...