Literal Indeterminacy vs. Numerical Indeterminacy

Literal Indeterminacy vs. Numerical Indeterminacy

To Jun Ye We have two types of indeterminacies: 1) Literal Indeterminacy, when we deal with numbers of the form a + bI, where a, b are real or complex numbers, while I = literal indeterminacy, with I2 = I. "I" is a letter only, does not represent a number, nor a numerical interval, neither a numerical subset. These numbers are used in neutrosophic algebraic structures, such as Neutrosophic Groups, Neutrosophic

Rings, Neutrosophic Vector Spaces etc. on sets of the form: S1 = {a + bI, where I is the literal intederminacy, with I2 = I, and a, b ∊R, with R the set of real numbers} and S2 = {a + bI, where I is the literal intederminacy, with I2 = I, and a, b ∊C, with C the set of complex numbers}. 2) Numerical Indeterminacy (that you used in many papers), of the form a + bI, where "I" is a numerical subset (" I " may represent an interval, let's say

I = [0.2, 0.4], or a hesitant set let’s say I = {0.9, 1.1, 3, 5}, or any real (or complex) subset, for example

I = [3, 4]  (5, 6). On this case I2 ≠ I in general. For example I2 = [0.20, 0.40]2 = [0.202, 0.402] = [0.04, 0.16].