Neutrosophic Calculus

For example: a 6-valued neutrosophic element <x; (T1, T2,

T3; I1; F1, F2)> referring to quality, where T1 = very high quality, T2 = high quality, T3 = medium quality; I1 = indeterminate quality; and F1 = low quality, F2 = very low quality. With T1 + T2 + T3 + I1 + F1 + F2 in [0, 6], since 3 + 1 + 2 = 6. In this way we can define neutrosophic elements of any n-valued length.

Neutrosophic Calculus

An approach to the Neutrosophic Calculus will be to consider functions with neutrosophic coefficients. For example, f(x) = (2 - I) + (1 + 3I)x2, where I = indeterminacy is considered a constant. Another approach to Neutrosophic Calculus would be to use indeterminacy related to the values of the function. We consider that in practice somebody wants to design a function that describes a certain process. But for some values he is not able to determine exactly if, for example, f(3) = 5 or 6... So, we should be able to work with such non-well known functions... For example, f(1) = [0, 2], f(2) = 5 or 6, f(3) = (4, 5)  (7, 8), ... i.e. we do not know exactly the value of function f. In general, we mean

f: A→ P(A), where P(A) is the power set of A.