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Splitting Indeterminacy
a + bI, where I = indeterminacy, and I2 = I. In many examples we can consider I = contradiction = T∧F (i.e. true and false simultaneously). But I2 = (T∧F)∧(T∧F) = T∧F = I, where we associated to the ∧ in between the parentheses the multiplication [as in fuzzy and neutrosophic logic/set t-norm, where t1 ∧ t2 = t1t2 (multiplication)]. Similarly, in other examples we may consider I = uncertainty = T∨F (i.e. true or false). But I2 = (T∨F)∧(T∨F) = T∨F = I, where we associated in the same way to the ∧ in between the parentheses the multiplication [as in fuzzy and neutrosophic logic/set, where t1 ∧ t2 = t1t2 (multiplication)]. Of course, there may be cases (applications) where I2 is not equal to I. This will be a new class of neutrosophic algebraic structures. You might think to such examples. I'd be eager to see them.
Splitting Indeterminacy
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To Akeem Adesina A. Agboola For example, you might think about such example.
