Foundation of Appurtenance and Inclusion Equations

for Constructing the Operations of

Neutrosophic Numbers Needed in Neutrosophic Statistics

(revised)

Florentin Smarandache

Emeritus Professor University of New Mexico Mathematics, Physics, and Natural Science Division

705 Gurley Ave., Gallup, NM 87301, USA

Email: smarand@unm.edu

Abstract

 We introduce for the first time the appurtenance equation and inclusion equation, which help in understanding the operations with neutrosophic numbers within the frame of neutrosophic statistics. The way of solving them resembles the equations whose coefficients are sets (not single numbers).

Keywords: Real Neutrosophic Numbers; Neutrosophic Statistics;True Value; True Set-Value; Appurtenance Relationship; Appurtenance Equation; Inclusion Relationship; Inclusion Equation; Equality Equation with Set-Coefficients; NonAppurtenance Equation; NonInclusion Equation; NonEquality Equation; Operations with Neutrosophic Numbers