Daniell-Greco-Stone representation type theorem for autocontinuous from above functionals.
Decision Theory Based on Non-Additive Measures
Decision-making under uncertainty processed by lattice-valued possibilistic measures
The notion and theory of statistical decision functions are re-considered and modified to the case when the uncertainties in question are quantified and processed using lattice-valued possibilistic measures, so emphasizing rather the qualitative than the quantitative properties of the resulting possibilistic decision functions. Possibilistic variants of both the minimax (the worst-case) and the Bayesian optimization principles are introduced and analyzed.