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Relevant bibliographies by topics / Refined neutrosophic AH-isometry

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Academic literature on the topic 'Refined neutrosophic AH-isometry'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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Journal articles on the topic "Refined neutrosophic AH-isometry"

1

Celik, Mehmet, and Ahmed Hatip. "On the Refined AH-Isometry and Its Applications in Refined Neutrosophic Surfaces." Galoitica: Journal of Mathematical Structures and Applications 2, no. 1 (2022): 21–28. http://dx.doi.org/10.54216/gjmsa.020103.

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The aim of this paper is to generalize the neutrosophic AH-isometry into the system of refined neutrosophic numbers, where it presents an isometer between the refined neutrosophic space with one/two neutrosophic dimensions and the cartesian product of classical Euclidean spaces.Also, many refined neutrosophic geometrical surfaces such as refined circles and lines will be handled according to the isometry.

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2

Zeina, Mohamed Bisher, and Mohammad Abobala. "On The Refined Neutrosophic Real Analysis Based on Refined Neutrosophic Algebraic AH-Isometry." Neutrosophic Sets and Systems 54 (April 11, 2023): 157–68. https://doi.org/10.5281/zenodo.7817744.

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The objective of this paper is to study the basic concepts of real refined neutrosophic analysis by using the refined neutrosophic AH-isometry, where refined neutrosophic real famous functions such as polynomials, exponents, Gamma functions and logarithmic refined neutrosophic real functions will be presented and discussed in terms of formulas and theorems. Also, many related examples will be illustrated.

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3

Granados, Carlos, and Leon A. Valencia Henao. "On Refined Neutrosophic Stochastic Process." Ciencia en Desarrollo 15, no. 1 (2024): 114–20. http://dx.doi.org/10.19053/01217488.v15.n1.2024.16305.

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In this paper, we use the notion of crisp stochastic process and refined neutrosophic theory to define the concept of refined neutrosophic stochastic process. This project came to us due to the necessity to study randomness on neutrosophic theory taking the idea that in real world indeterminacy is around it. Besides, we choose refined neutrosophic theory since there are several indeterminacy situations in one problem. Throughout the paper, we present some important results and define the concept of $ n $-dimensional AH-isometry for defining some results on refined neutrosophic process.

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4

Mohamed, Mohamed, and Ahmed Hatip. "On Refined Netrusophic Fractional Calculus." International Journal of Neutrosophic Science 24, no. 2 (2024): 08–18. http://dx.doi.org/10.54216/ijns.240201.

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Depending on the geometric isometry (AH-Isometry), it has been proven that every Neutrosophic real function is equivalent to three real functions. Then, the foundation of the Refined Netrusophic calculus was established, where new definitions of Refined Netrusophic integration and Refined Netrusophic differentiation were introduced, along with some illustrative examples. Following that, definitions for the Refined Netrusophic gamma function and Refined Netrusophic beta function were presented to pave the way towards achieving the desired goal, which is Refined Netrusophic Fractional calculus.

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5

Hatip, Ahmed. "AN ALGEBRAIC APPROACH FOR NEUTROSOPHIC RANDOM VARIABLES BY THE REFINED AH-ISOMETRY." Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, August 28, 2024. http://dx.doi.org/10.18038/estubtda.1350437.

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In this article, we are going to extend the definition of literal neutrosophic random variables to literal refined neutrosophic random variables and we will study its new properties. We derive and present various concepts including refined neutrosophic probability distribution function in the continuous case, refined neutrosophic cumulative distribution function of continuous refined neutrosophic random variables, refined neutrosophic expected value, refined neutrosophic variance, refined neutrosophic standard deviation, refined neutrosophic mean deviation, refined neutrosophic rth quartiles,

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6

Ahmad, Katy D., Mikail Bal, Arwa A. Hajjari, and Rozina Ali. "Novel Applications Of Neutrosophic AH-Isometries To The Group Of Units Problem In Neutrosophic Rings and Refined Neutrosophic Rings." Journal of Neutrosophic and Fuzzy Systems, 2021, 89–98. http://dx.doi.org/10.54216/jnfs.010205.

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The Objective of this paper is to study the group of units problem in two different kinds of neutrosophic structures (neutrosophic rings and refined neutrosophic rings), where we use the concept of AH-isometry to classify neutrosophic rings\refined neutrosophic rings as direct products of classical rings with itself. Also, this classification will lead to the algebraic structure of the corresponding group of units.

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7

Abobala, Mohammad, Mikail Bal, and Malath Aswad. "A Short Note On Some Novel Applications of Semi Module Homomorphisms." International Journal of Neutrosophic Science, 2022, 08–13. http://dx.doi.org/10.54216/ijns.180101.

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In this paper, we study the algebraic relationships between n- refined neutrosophic modules by using semi-module homomorphisms. On the other hand, this work shows the relationship between neutrosophic geometrical AH-isometry and semi-module isomorphisms.

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8

NSS. "Operations with n-Refined Literal Neutrosophic Numbers using the Identification Method and the n-Refined AH-Isometry." August 2, 2024. https://doi.org/10.5281/zenodo.13177462.

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9

Yaser, Ahmad Alhasan, Elghazali Ali Mohieldin Mohamed Mohamed, Ahassan Qusay, and Abdullah Abdulfatah Raja. "Division of 3-Refined Neutrosophic Numbers by using the Identification Method and the 3-Refined AH-Isometry." January 29, 2025. https://doi.org/10.5281/zenodo.14759230.

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