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

Authors

  • Hamiyet Merkepci Gaziantep University, Department Of Mathematics, Gaziantep, Turkey
  • Katy D. Ahmad .Islamic University Of Gaza, Department Of Mathematics, Gaza, Palestine

Keywords:

3-refined neutrosophic real function, 3-refined neutrosophic inner product, 3-refined neutrosophic vector space, 3-refined neutrosophic number theory

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.

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Published

— Updated on 2023-08-11

Issue

Vol. 54 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Merkepci, H. ., & D. Ahmad, K. . (2023). On The 3-Refined Neutrosophic Analytical Structures and Number Theoretical Concepts. Neutrosophic Sets and Systems, 54, 1-18. https://fs.unm.edu/nss8/index.php/111/article/view/3137