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International Journal of Theoretical Physics

, Volume 47, Issue 1, pp 125–148 | Cite as

Sharp and Fuzzy Observables on Effect Algebras

  • A. Jenčová
  • S. Pulmannová
  • E. Vinceková
Article

Abstract

Observables on effect algebras and their fuzzy versions obtained by means of confidence measures (Markov kernels) are studied. It is shown that, on effect algebras with the (E)-property, given an observable and a confidence measure, there exists a fuzzy version of the observable. Ordering of observables according to their fuzzy properties is introduced, and some minimality conditions with respect to this ordering are found. Applications of some results of classical theory of experiments are considered.

Keywords

Effect algebra Observable Hilbert space effects PV-measure POV-measure Sufficient Markov kernel Smearing 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Mathematical InstituteSlovak Academy of SciencesBratislavaSlovakia

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