2017/02/17 by Mark Burgin, Burgin, Mark
Computer Science · #Cognitive Science and Mapping #Bayesian Modeling and Causal Inference #Semantic Web and Ontologies
paper · pdf · doi:10.48550/arxiv.1702.08504
There are different approaches to qualitative probability, which includes subjective probability. We developed a representation of qualitative probability based on relational systems, which allows modeling uncertainty by probability structures and is more coherent than existing approaches. This setting makes it possible proving that any comparative probability is induced by some probability structure (Theorem 2.1), that classical probability is a probability structure (Theorem 2.2) and that inflated, i.e., larger than 1, probability is also a probability structure (Theorem 2.3). In addition, we study representation of probability structures by classical probability.