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).