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Neutrosophic Probability
by
Florentin Smarandache
UNM
Definition of Neutrosophic Probability:
<probability> The probability that an event occurs is (T, I, F), where T, I, F are real standard or non-standard subsets, included in the non-standard unit interval ]-0, 1+[, representing truth, indeterminacy, and falsity percentages respectively.
Therefore: -0 <= inf(T) + inf(I) + inf(F) <= sup(T) + sup(I) + sup(F) <= 3+.
Generalization of classical probability and imprecise probability, intuitionistic probability, paraconsistent probability, faillibilist probability, paradoxist probability, tautological probability, nihilistic probability, dialetheist probability, trivialist probability.
Related with neutrosophic set and neutrosophic logic.
The analysis of neutrosophic events is called Neutrosophic Statistics.
ref. Florentin Smarandache, Ä Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set, and Logic", American Research Press, Rehoboth, 1999; (http://www.gallup.unm.edu/ smarandache/FirstNeutConf.htm, http://www.gallup.unm.edu/ smarandache/neut-ad.htm)
http://www.gallup.unm.edu/~smarandache/FirstNeutConf.htm
Date received: October 22, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cagu-15.