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Probability Functions on Posets

Title
Probability Functions on Posets
Author
김희식
Keywords
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.
URI
https://www.mdpi.com/2227-7390/7/9/785https://repository.hanyang.ac.kr/handle/20.500.11754/152569
ISSN
2227-7390
DOI
10.3390/math7090785
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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