neutrosophic probability

neutrosophic probability

(logic)
An extended form of probability based on Neutrosophy, in which a statement is held to be t true, i indeterminate, and f false, where t, i, f are real values from the ranges T, I, F, with no restriction on T, I, F or the sum n=t+i+f.

http://gallup.unm.edu/~smarandache/NeutProb.txt.

["Neutrosophy / Neutrosophic Probability, Set, and Logic", Florentin Smarandache, American Research Press, 1998].
References in periodicals archive ?
One uses the definitions of Neutrosophic probability and Neutrosophic set operations.
Further the Smarandache neutrosophic probability bivector will be a bicolumn vector which can take entries from [-1, 1] [union] [-I, I] whose sum can lie in the biinterval [-1, 1] [union] [-I, I].
Similar generalizations are done for n-Valued Refined Neutrosophic Set, and respectively n-Valued Refined Neutrosophic Probability.
An Introduction to the Neutrosophic Probability Applied in Quantum Statistics.
He demonstrated that the neutrosophic probability of the true price of the derivative security being given by any theoretical pricing model is obtainable as NP (H [intersection] [M.
Neutrosophic logic (1995), neutrosophic set (1995), and neutrosophic probability (1995) have, behind the classical values of truth and falsehood, a third component called indeterminacy (or neutrality, which is neither true nor false, or is both true and false simultaneously--again a combination of opposites: true and false in indeterminacy).
Neutrosophy was extended to Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Neutrosophic Statistics, which are used in technical applications.
Neutrosophic Probability (as a generalization of the classical probability and imprecise probability) studies the chance that a particular event <A> will occur, where that chance is represented by three coordinates (variables): T% chance the event will occur, I% indeterminate (unknown) chance, and F% chance the event will not occur.
In the first section we will discuss basic propositions of Neutrosophic probability and Neutrosophic logic.
It could be shown, that Neutrosophic probability is useful to those events, which involve some degree of indeterminacy (unknown) and more criteria of evaluation--as quantum physics.
A unifying field in logics, neutrosophic logic / neutrosophy, neutrosophic set, neutrosophic probability.
Neutrosophy, Neutrosophic Probability, Set, and Logic.