A-Poset with Multiplicative Operation

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


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.


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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