From Gauging Accuracy of Quantity Estimates to Gauging Accuracy and Resolution of Measuring Physical Fields

Authors

Vladik Kreinovich, The University of Texas at El PasoFollow
Irina Perfilieva

Publication Date

11-2009

Comments

Technical Report: UTEP-CS-09-16c

Published in Roman Wyrzykowski, Jack Dongarra, Konrad Kzrczewski, and Jerzy Wasniewski (eds.), Proceedings of the Eighth International Conference on Parallel Processing and Applied Mathematics PPAM'2009, Wroclaw, Poland, September 13-16, 2009, Springer Lecture Notes in Computer Science, 2010, Vol. 6608, pp. 456-465.

Abstract

For a numerical physical quantity v, because of the measurement imprecision, the measurement result V is, in general, different from the actual value v of this quantity. Depending on what we know about the measurement uncertainty d = V - v, we can use different techniques for dealing with this imprecision: probabilistic, interval, etc.

When we measure the values v(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.