# 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 ?
Smarandache, Neutrosophy, Neutrosophic Probability, Set, and Logic.
Neutrosophy, Neutrosophic Probability, Sets and Logic, Proquest Information & Learning, Ann Arbor, Michigan, USA, 105p,1998
Therefore, the neutrosophic logic, neutrosophic set, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus, and so forth were born in neutrosophy [15].
Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set, and neutrosophic statistics.
A cloud is a neutrosophic set, because its borders are ambiguous, and each element (water drop) belongs with a neutrosophic probability to the set (e.
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].
Collecting all results, including the indeterminacy, we get the neutrosophic sample space (or the neutrosophic probability space) of the experiment.
Neutrosophy: Neutrosophic Probability, Set and Logic, American Research Press, Rehoboth, NM, USA, 1998.
Similar generalizations are done for n-Valued Refined Neutrosophic Set, and respectively n-Valued Refined Neutrosophic Probability.
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).

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