A Fuzzy Approach for the Theory of Measurement Inexactness

Michal K. Urbanski, Janusz Wasowski

Abstract

In this paper we propose the weak t-norm (wt-norm) based arithmetics to describe the propagation of systematic as well as statistical inexactness. We use the general term “inexactness” to express all possible approaches of inaccuracy evaluations. In the presented theory the measurement results are fuzzy intervals. The arithmetic operators are obtained by applying the generalisation of Zadeh’s extension principle based on the wt-norm. The averaging operator defined in the framework of wt-norm arithmetic decreases the statistical component, and does not change the systematic component of inexactness. We are of the opinion that statistical method, preferred in the Guide, is not adequate to describe the systematic effects.

Keywords

fuzzy set theory, measurement inexactness, theory of measurement, non-statistical uncertainty estimation, measurement uncertainty, wt-norm, t-norm

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IMEKO-TC7-2002-017.pdf

DOI

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IMEKO TC

TC7 - Measurement Science

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