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Neutrosophic Functions
For division, we do in a similar way as we did for
Neutrosophic Real Numbers (when p and q were real numbers): (a1 + a2i + a3I + a4iI)/( b1 + b2i + b3I + b4iI) = x + yi + zI + wiI, then we identify the coefficients and form a system of 4 equations and 4 variables: a1 + a2i + a3I + a4iI ≡ (b1 + b2i + b3I + b4iI )∙(x + yi + zI + wiI), we multiply on the right-hand side and combine the liketerms, then we solve for x, y, z, w. There are cases when the division is undefined. So, you may try the Picard action on them.
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Neutrosophic Functions
To Said Broumi We can in general consider a normal distribution function fn(x): [a, b] → [0, 1]: t(x) = fn(x), f(x) = 1-gn(x), i(x) = 1-hn(x), where gn(x) and hn(x) are also normal distribution functions, defined as gn(x), hn(x): [a, b] → [0, 1]. This generalizes the triangular and trapezoid neutrosophic functions. I think some Chinese researchers published such paper with neutrosophic normal functions.
