Decision Making by Hybrid Probabilistic - Possibilistic Utility Theory
Endre Pap ()
Additional contact information Endre Pap: Department of Mathematics and Informatics, University Novi Sad and Academy of Sciences and Arts of Vojvodina, Novi Sad, Serbia
Abstract:
It is presented an approach to decision theory based upon nonprobabilistic uncertainty. There is an axiomatization of the hybrid probabilisticpossibilistic mixtures based on a pair of triangular conorm and triangular norm satisfying restricted distributivity law, and the corresponding non-additive Smeasure. This is characterized by the families of operations involved in generalized mixtures, based upon a previous result on the characterization of the pair of continuous t-norm and t-conorm such that the former is restrictedly distributive over the latter. The obtained family of mixtures combines probabilistic and idempotent (possibilistic) mixtures via a threshold.