A Fuzzy Approach for the Theory of Measurement Inexactness |
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| 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
- Download:
- IMEKO-TC7-2002-017.pdf
- DOI:
- -
- Event details
- IMEKO TC:
- TC7
- Event name:
- TC7 Symposium 2002
- Title:
- Symposium on New Developments in the Field of Measurement Science
- Place:
- Cracow, POLAND
- Time:
- 25 June 2002 - 27 June 2002