On The 3-Refined Neutrosophic Analytical Structures and Number Theoretical Concepts

Abstract

N-refined neutrosophic structures are considered as generalizations of classical structures, and neutrosophic structures. The main goal of this paper, is to study several structures generated by using 3-refined neutrosophic numbers, where we find the mathematical formulas of 3-refined neutrosophic real functions. Also, the inner products over 3-refined neutrosophic vector spaces and orthogonal properties. In addition, we present the foundations of 3-refined neutrosophic number theory, especially division, congruencies, and some related equations.

Keywords

• 3-refined neutrosophic inner product
• 3-refined neutrosophic vector space
• 3-refined neutrosophic number theory