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 .
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).