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A-Poset with Multiplicative Operation

  • Daniela KluvancováEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 401)

Abstract

In this paper we will prove that the new structure called A-poset, defined by Frič and Skřivánek (Generalized random events, 2015) is equivalent to D-posets and effect algebras. In next section we introduce a multiplicative operation on A-postes and prove that these two structures are isomorphic. In the last part of this paper we try to build probability theory on A-posets.

Keywords

A-poset Effect algebra Partial ordering 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Faculty of Natural SciencesMatej Bel UniversityBanská BystricaSlovakia

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