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Probability Functions on Posets

Author

Listed:
  • Jae Hee Kim

    (Research Institute for Natural Sciences, Department of Mathematics, Hanyang University, Seoul 04763, Korea)

  • Hee Sik Kim

    (Research Institute for Natural Sciences, Department of Mathematics, Hanyang University, Seoul 04763, Korea)

  • Joseph Neggers

    (Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA)

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.

Suggested Citation

  • Jae Hee Kim & Hee Sik Kim & Joseph Neggers, 2019. "Probability Functions on Posets," Mathematics, MDPI, vol. 7(9), pages 1-18, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:785-:d:260850
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