Abstract
Multi-dimensional generalized lotteries of I type
apply to cases with several alternatives, each generating an infinite number of multi-dimensional consequences, consisting of a set of attributes. Whenever the uncertainty associated with those consequences is partially measured by ribbon distributions
(based on interval probability estimates), these models transform into multi-dimensional fuzzy rational generalized lotteries of I type. Ranking these is handled by the Q-expected utility criterion. The paper's key feature is the definition, modelling and ranking of special cases of such lotteries, formed by a combination of scalar independent ribbon distributions, and scalar independence (either utility or additive) independence of preferences over the attributes.
