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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
