效应代数上的锐观测量和模糊观测量
Sharp and fuzzy observables on effect algebras
摘要：
研究了效应代数上的观测量及其通过置信测度（马尔可夫核）得到的模糊形式。证明了在具有（E）-性质的效应代数上，给定一个观测量和一个置信测度，存在一个模糊的观测量。本文介绍了可观测量按其模糊性质的排序，并找到了与这种排序有关的一些极小性条件，讨论了经典实验理论中某些结果的应用。
英文摘要：
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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