probability function; poset; d-algebra; probability realizer; ordered plane
Issue Date
2019-09
Publisher
MDPI
Citation
MATHEMATICS, v. 7, no. 9, article no. 785
Abstract
In this paper, we define the notion of a probability function on a poset which is similar to the probability function discussed on d-algebras, and obtain three probability functions on posets. Moreover, we define a probability realizer of a poset, and we provide some examples to describe its role for the standard probability function. We apply the notion of a probability function to the ordered plane and obtain three probability functions on it.