Probability Functions on Posets

Author:

Kim Jae,Kim HeeORCID,Neggers Joseph

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference8 articles.

1. Partially ordered sets and groupoids;Neggers;Kyungpook Math. J.,1976

2. Modular posets and semigroups

3. On d-algebras;Neggers;Math. Slovaca,1999

4. Trends, probability functions and fuzzy right ideals for d-algebras

5. Properties of mutual rank probabilities in partially ordered sets;De Loof,2008

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