2021/05/25 by Juerg Kohlas, Kohlas, Juerg, Arianna Casanova +3
Computer Science · #06-XX #60-XX #Artificial Intelligence (cs.AI) #Bayesian Modeling and Causal Inference #FOS: Computer and information sciences #G.3 #H.0 #I.1.3 #Logic, Reasoning, and Knowledge #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.2105.12037
openalex publication_date 2021/05/25 · openalex created_date 2021/06/07 · openalex updated_date 2026/07/28
In this paper, we show that coherent sets of gambles can be embedded into the algebraic structure of information algebra. This leads firstly, to a new perspective of the algebraic and logical structure of desirability and secondly, it connects desirability, hence imprecise probabilities, to other formalism in computer science sharing the same underlying structure. Both the domain-free and the labeled view of the information algebra of coherent sets of gambles are presented, considering general possibility spaces.