Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry

This paper aims to study the division of 3-refined neutrosophic numbers, where it was discussed through two methods, the first is the identification method, and the second is the 3-refined AH-isometry. In addition to presenting special cases related to division of 3-refined neutrosophic numbers. The...

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Main Authors: Yaser Ahmad Alhasan, Mohamed Elghazali Ali Mohieldin Mohamed, Qusay Ahassan, Raja Abdullah Abdulfatah
Format: Article
Language:English
Published: University of New Mexico 2025-04-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/29RefinedNeutrosophic.pdf
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author Yaser Ahmad Alhasan
Mohamed Elghazali Ali Mohieldin Mohamed
Qusay Ahassan
Raja Abdullah Abdulfatah
author_facet Yaser Ahmad Alhasan
Mohamed Elghazali Ali Mohieldin Mohamed
Qusay Ahassan
Raja Abdullah Abdulfatah
author_sort Yaser Ahmad Alhasan
collection DOAJ
description This paper aims to study the division of 3-refined neutrosophic numbers, where it was discussed through two methods, the first is the identification method, and the second is the 3-refined AH-isometry. In addition to presenting special cases related to division of 3-refined neutrosophic numbers. The most important idea in this paper is that we were able to move from the formula we obtained in the 3-refined AH-isometry to the formula we found in the identification method and vice versa, hence this proves the validity of both formulas.
format Article
id doaj-art-e8a62f3d45ca4eb8acbd24466fb68cd9
institution Kabale University
issn 2331-6055
2331-608X
language English
publishDate 2025-04-01
publisher University of New Mexico
record_format Article
series Neutrosophic Sets and Systems
spelling doaj-art-e8a62f3d45ca4eb8acbd24466fb68cd92025-08-25T10:22:45ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-04-018050751510.5281/zenodo.14759230Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-IsometryYaser Ahmad AlhasanMohamed Elghazali Ali Mohieldin MohamedQusay Ahassan Raja Abdullah AbdulfatahThis paper aims to study the division of 3-refined neutrosophic numbers, where it was discussed through two methods, the first is the identification method, and the second is the 3-refined AH-isometry. In addition to presenting special cases related to division of 3-refined neutrosophic numbers. The most important idea in this paper is that we were able to move from the formula we obtained in the 3-refined AH-isometry to the formula we found in the identification method and vice versa, hence this proves the validity of both formulas. https://fs.unm.edu/NSS/29RefinedNeutrosophic.pdf3-refined ah-isometry3-refinedneutrosophic numbersdivision
spellingShingle Yaser Ahmad Alhasan
Mohamed Elghazali Ali Mohieldin Mohamed
Qusay Ahassan
Raja Abdullah Abdulfatah
Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry
Neutrosophic Sets and Systems
3-refined ah-isometry
3-refined
neutrosophic numbers
division
title Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry
title_full Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry
title_fullStr Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry
title_full_unstemmed Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry
title_short Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry
title_sort division of 3 refined neutrosophic numbers by using the identification method and the 3 refined ah isometry
topic 3-refined ah-isometry
3-refined
neutrosophic numbers
division
url https://fs.unm.edu/NSS/29RefinedNeutrosophic.pdf
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