An extension of stochastic dominance to fuzzy random variables
Résumé
This paper proposes a joint extension of interval comparison and random variable comparison methods to the ranking of fuzzy random variables. First, an extension of stochastic dominance to random intervals is proposed. It enables to retrieve some previous ranking methods for belief functions and for fuzzy intervals. On this basis, a direct extension of stochastic dominance to fuzzy random variables is proposed. This approach is just one among various possibilities obtained by combining fuzzy interval and random variable comparison methods.