This paper shows that, among diverse axiomatic systems (many-valued logics, fuzzy sets, calculus of probability, and theory of evidence), the calculus of probability uniquely provides a paradigm able to process uncertainty without violating any classical logic’s law (excluded middle, non-contradiction, and so on). A characterization of this paradigm is outlined in mathematical logic terms, focusing on quantitative treatment of measurement uncertainty.

Paradigms for uncertainty treatments: A comparative analysis with application to measurement / D'Errico, GIAMPAOLO EUGENIO. - In: MEASUREMENT. - ISSN 0263-2241. - 42:(2009), pp. 494-500. [doj: 10.1016/j.measurement.2008.09.001]

Paradigms for uncertainty treatments: A comparative analysis with application to measurement

D'ERRICO, GIAMPAOLO EUGENIO
2009

Abstract

This paper shows that, among diverse axiomatic systems (many-valued logics, fuzzy sets, calculus of probability, and theory of evidence), the calculus of probability uniquely provides a paradigm able to process uncertainty without violating any classical logic’s law (excluded middle, non-contradiction, and so on). A characterization of this paradigm is outlined in mathematical logic terms, focusing on quantitative treatment of measurement uncertainty.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11696/33486
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