Foundations of Physics

, Volume 5, Issue 4, pp 557–571 | Cite as

Measurement in quantum mechanics as a stochastic process on spaces of fuzzy events

  • Eduard Prugovečki


The measurement of one or more observables can be considered to yield sample points which are in general fuzzy sets. Operationally these fuzzy sample points are the outcomes of calibration procedures undertaken to ensure the internal consistency of a scheme of measurement. By introducing generalized probability measures on σ-semifields of fuzzy events, one can view a quantum mechanical state as an ensemble of probability measures which specify the likelihood of occurrence of any specific fuzzy sample point at some instant. These sample points are the possible outcomes of any infinitely rapid succession of measurements at that instant of any sequence of observables of the system.


Internal Consistency Sample Point Stochastic Process Quantum Mechanic Probability Measure 
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Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • Eduard Prugovečki
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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