Belief Mosaics of Subjective Opinions

Subjective opinions are the belief arguments used with the operators of subjective logic. Binomial, multinomial and hypernomial opinions are three different classes of subjective opinions. The traditional visualisations of binomial and multinomial opinions are in the form of a point inside a simplex, which is equivalent to a barycentric coordinate system. However, hypernomial-opinions which are the most general class of subjective opinions cannot be visualised in the same way. This paper describes how subjectifve opinions including hypernomial opinions can be represented and visualised as mosaics of polygonal belief shapes within a simplex. Examples of belief mosaics are shown using binomial multinomial and hypernomial opinions which are also compared to their equivalent representation as Beta, Dirichlet and hyper-Dirichlet PDFs.