When Indeterminacy is zero

Florentin Smarandache

{The above are all Single-Values; but we may consider as well Interval-Values, Hesitant-Values, or any subset etc.}

Plithogenic Real Number Graph, when we have the row matrix by real numbers, such as: 3, 37, -6.

Plithogenic Complex Number Graph, when we have the row matrix formed by complex numbers, such as: 3+2i, 37-7i, -6-i, where i = squareroot(-1).

Plithogenic Neutrosophic Number Graph, when we have the row matrix formed by neutrosophic numbers, such as: 3+2I, 37-7I, -6-I, where I = literal Indeterminacy.

When Indeterminacy is zero

Florentin Smarandache

Let T, I, F ∊ [0, 1] be neutrosophic components.

If Indeterminacy I = 0, the neutrosophic components (T, 0, F) are still more flexible and more general than fuzzy components and intuitionistic fuzzy components.

Because we get: 1-2) for fuzzy set and for intuitionistic fuzzy set (they coincide):

T + F = 1. 3) for neutrosophic set: 0 ≤ T + F ≤ 2.

Therefore, the neutrosophic set is more flexible and more general than the other sets, no matter the value of indeterminacy.