From gauging accuracy of quantity estimates to gauging accuracy and resolution of measuring physical fields

  • Authors:

  • Vladik Kreinovich;Irina Perfilieva

  • Affiliations:

  • University of Texas, El Paso, TX;University of Ostrava, Inst. for Research and Applications of Fuzzy Modeling, Ostrava, Czech Republic

  • Venue:
  • PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
  • Year:
  • 2009

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Abstract

For a numerical physical quantity υ, because of the measurement imprecision, the measurement result υ is, in general, different from the actual value υ of this quantity. Depending on what we know about the measurement uncertainty δυ def = υ - υ, we can use different techniques for dealing with this imprecision: probabilistic, interval, etc. When we measure the values υ(x) of physical fields at different locations x (and/or different moments of time), then, in addition to the same measurement uncertainty, we also encounter another type of localization uncertainty: that the measured value may come not only from the desired location x, but also from the nearby locations. In this paper, we discuss how to handle this additional uncertainty.