Abstract: The purpose of this paper is to study possibility and probability measures in continuous universes, taking different line to the one proposed and dealt with by other authors. We study the coherence between the probability measure and the possibility measure determined by a function that is both a possibility density and distribution function. For this purpose, we first examine functions that satisfy this condition and then we anlyze the coherence in some notable probability distributions cases.

Keywords: Measure, possibility, probability.

ACM Classification Keywords: I.2.3 Artificial Intelligence: Deduction and Theorem Proving (Uncertainty, “fuzzy” and probabilistic reasoning); I.2.4 Artificial Intelligence: Knowledge Representation Formalisms and Methods (Predicate logic, Representation languages).

Link:

ON THE COHERENCE BETWEEN PROBABILITY AND POSSIBILITY MEASURES1

Elena Castineira, Susana Cubillo, Enric Trillas

http://www.foibg.com/ijita/vol14/ijita14-4-p01.pdf