Finitely additive, modular, and probability functions on pre-Semirings
Finitely additive, modular, and probability functions on pre-Semirings
In this paper, we define finitely additive, probability and modular functions over semiring-like structures. We investigate finitely additive functions with the help of complemented elements of a semiring. We also generalize some classical results in probability theory such as the Law of Total Probability, Bayes' Theorem, the Equality of Parallel …