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Sharp and Fuzzy Observables on Effect Algebras

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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.

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Authors and Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia

    A. Jenčová, S. Pulmannová & E. Vinceková

Authors
  1. A. Jenčová
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  2. S. Pulmannová
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  3. E. Vinceková
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Correspondence to A. Jenčová.

Additional information

This work was supported by Science and Technology Assistance Agency under the contract No. APVT-51-032002, grant VEGA 2/6088/26 and Center of Excellence SAS, CEPI I/2/2005.

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Jenčová, A., Pulmannová, S. & Vinceková, E. Sharp and Fuzzy Observables on Effect Algebras. Int J Theor Phys 47, 125–148 (2008). https://doi.org/10.1007/s10773-007-9396-0

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