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International Journal of Neutrosophic Science | 2023

Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings

In this paper, our aim is to investigate the algebraic structures within the Q-complex neutrosophic soft model. We introduce two fundamental concepts: the Q-complex neutrosophic soft ring (Q-CNSR) and the Q-complex neutrosophic soft ideal (Q-CNSI). Q-CNSRs combine the properties of Q-complex neutrosophic soft sets (Q-CNSSs) with ring theory, effectively capturing uncertainty and indeterminacy present in ring operations through the incorporation of Q-complex neutrosophic membership values. Additionally, we define Q-CNSIs as subsets of Q-CNSRs that possess distinctive properties and hold significant roles in ring theory. Furthermore, we discuss and verify the specific algebraic properties of Q-CNSR and Q-CNSI. By examining these properties, we gain a deeper understanding of the algebraic behavior of Q-CNSR and Q-CNSI. In particular, we shed light on the relationship between Q-CNSRs and soft rings. This provides insights into how Q-CNSR relates to the broader framework of soft ring, highlighting the unique features and contributions of Q-complex neutrosophic soft structures in the realm of algebraic analysis. We have also verified the relations between Q-CNSR and Q-neutrosophic soft ring (Q-NSR), as well as between Q-CNSI and Q-neutrosophic soft ideal (Q-NSI). Through this comprehensive exploration, our objective is to advance the understanding of Q-CNSR and Q-CNSI, thereby contributing to the field of algebraic analysis and its application in handling uncertainty and vagueness.

groups
Mamika Ujianita Romdhini mail -
Ashraf Al-Quran mail -
Faisal Al-Sharqi mail -
Hazwani Hashim mail -
Abdalwali Lutfi mail
link https://doi.org/10.54216/IJNS.220402

Volume & Issue

Vol. Volume 22 / Iss. Issue 4

Details open_in_new
International Journal of Neutrosophic Science | 2023

SEE Transform in Difference Equations and Differential-Difference Equations Compared With Neutrosophic Difference Equations

The Sadiq-Emad-Emann (SEE) transform, also known as operational calculus, has gained significant importance as a fundamental component of the mathematical knowledge necessary for physicists, engineers, mathematicians, and other scientific professionals. This is because the SEE transform offers accessible and efficient resources for resolving several applications and challenges encountered in diverse engineering and science domains. This study aims to introduce the fundamental principles of SEE transformation and establish the validity of two statements and associated attributes. The objective of this study is to use the aforementioned qualities in order to determine the solution of difference and differential-difference equations, with neutrosophic versions of difference and differential difference equations. In addition, we are able to get very effective and expeditious precise answers.

groups
Eman A. Mansour mail -
Emad A. Kuffi mail
link https://doi.org/10.54216/IJNS.220403

Volume & Issue

Vol. Volume 22 / Iss. Issue 4

Details open_in_new
International Journal of Neutrosophic Science | 2023

On Symbolic 7-Plithogenic and 8-Plithogenic Number Theoretical Concepts

This paper is dedicated to studying the foundations of 7-plithogenic and 8-plithogenic number theory, where the central concepts about symbolic 7-plithogenic/8-plithogenic integers will be discussed such as symbolic 7-plithogenic/8-plithogenic Pythagoras triples and quadruples, symbolic 7-plithogenic/8-plithogenic linear Diophantine equations, and the divisors. On the other hand, we prove that Euler's theorem is still true in the case of the symbolic 7-plithogenic/8-pithogenic number theory.

groups
Luis Albarracin Zambrano mail -
Fabricio Lozada Torres mail -
Bolivar Villalta Jadan mail -
Nabil Khuder Salman mail
link https://doi.org/10.54216/IJNS.220404

Volume & Issue

Vol. Volume 22 / Iss. Issue 4

Details open_in_new
International Journal of Neutrosophic Science | 2023

A Note on Invertible Neutrosophic Square Matrices

The purpose of this article is to study the adjoint and inverse of neutrosophic matrices, where the inverse of a neutrosophic square matrix is defined and studied in terms of neutrosophic determinant and neutrosophic adjoint. It is shown by examples that, the converse part of the result “M is invertible if and only if detM ̸= 0” is not true, proved by Mohammad Abobala et al. in.2 Also some of the properties of neutrosophic adjoint are discussed.

groups
P. Prabakaran mail -
Gustavo Alvarez G´omez mail -
Rita Azucena Diaz Vasquez mail -
Andr´es Le´on Yacelga mail
link https://doi.org/10.54216/IJNS.220405

Volume & Issue

Vol. Volume 22 / Iss. Issue 4

Details open_in_new
International Journal of Neutrosophic Science | 2023

Selection of neutral networks using q-rung neutrosophic vague soft set TOPSIS aggregating operator setting multi-criteria group decision making

The q-rung neutrosophic vague soft set (q-rung NVSS) is a generalization of the neutrosophic vague soft set (NVSS) and the vague soft set (VSS). The TOPSIS aggregated operation (AO) was used to discuss the q-rung NVSS. As an extension of VSS, the TOPSIS method effectively makes multi-criteria group decision making (MCGDM). With a score function, the goal is to find a positive and negative ideal solution based on q-rung NVSS. Closeness values are determined by presenting optimal alternatives. We provide practical examples to support our conclusions. This results in the outcome of the models for which q is provided. Considering the validity and usefulness of the models under consideration can be achieved by comparing them with those that have been proposed. Recent discoveries have generated quite a bit of interest and fascination.

groups
A. Priya mail -
P. Maragatha Meenakshi mail -
Aiyared Iampan mail -
N. Rajesh mail -
Suganthi Mariyappan mail
link https://doi.org/10.54216/IJNS.220406

Volume & Issue

Vol. Volume 22 / Iss. Issue 4

Details open_in_new
International Journal of Neutrosophic Science | 2023

Neutrosophic nil radicals of neutrosophic ideals in rings

The notion of neutrosophic nil radicals of neutrosophic ideals in rings is introduced, and related properties are investigated. In addition, we study some relations between the nil radical of the neutrosophic polynomial ideal of the polynomial ring R[x] induced by a neutrosophic ideal of a ring R and the nil radical of a neutrosophic ideal of R. Finally, we find the result of neutrosophic nil radicals of neutrosophic ideals from the epimorphism of rings.

groups
A. Priya mail -
P. Maragatha Meenakshi mail -
Aiyared Iampan mail -
N. Rajesh mail
link https://doi.org/10.54216/IJNS.220407

Volume & Issue

Vol. Volume 22 / Iss. Issue 4

Details open_in_new
Galoitica: Journal of Mathematical Structures and Applications | 2023

Mathematical Concept Exploration Using Turiyam Cognition

Recent time Turiyam set is considered as one of the prominent tool to explore unknown or undefined objects. The elementary school is one of the suitable examples where child explore each of the unknown objects. In this stage the child develop its Turiyam cognition based on its consciousness.  It can be characterized as true learning (t), false learning, (f), uncertain learning (i) and last liberal or unknown or not required at this stage which can be explored later (l). The child refused to learn any topic can be found via 4-(t+i+f+l) in case of four independent events otherwise 1-(t+i+f+l) in case of dependent events. These unknown or liberal examples which include child quantum cognition need Turiyam logic. This paper tried to explore those concepts and examples in this paper.

groups
Prem Kumar Singh mail
link https://doi.org/10.54216/GJMSA.090101

Volume & Issue

Vol. Volume 9 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2023

Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields

A field is a fundamental algebraic structure that finds extensive applications in algebra and various mathematical domains. On the other hand, a Q-complex neutrosophic soft set (Q-CNSS) is a unique hybrid model that combines the characteristics of soft sets and neutrosophic sets within a complex number framework. It utilizes the effectiveness of Q-set as a powerful tool in the domain of this particular model. In this article, we leverage this model to define fields under uncertainty. We present the Q-complex neutrosophic soft field (Q-CNSF) and examine the unique algebraic properties associated with this model. Additionally, we explore the relationships between Q-CNSF and Q-neutrosophic soft field (Q-NSF). Furthermore, we define the Cartesian product of QCNSFs and delve into the relevant properties. Through this comprehensive exploration, our aim is to enhance the understanding of Q-CNSFs and their properties, ultimately contributing to the field of algebraic analysis and its practical applications in handling uncertainty and vagueness.

groups
Mamika Ujianita Romdhini mail -
Ashraf Al-Quran mail -
Faisal Al-Sharqi mail -
Mohammad K. Tahat mail -
Abdalwali Lutfi mail
link https://doi.org/10.54216/IJNS.220408

Volume & Issue

Vol. Volume 22 / Iss. Issue 4

Details open_in_new
Financial Technology and Innovation | 2023

Business Intelligence in The Management of Financial Support of Joint-Stock Companies

The article analyzed a number of statistical data on whether joint-stock companies should or should not use Business Intelligence in conducting their financial policy. Also, the financial results of the enterprises, which are one of the largest joint-stock companies of our country and the world, were analyzed in depth, and their achievements and shortcomings were also discussed. In particular, in the section of conclusions and proposals, the achievements and shortcomings of joint-stock companies in the use of Business Intelligence and their solutions are given in a comparative manner.

groups
Burxanov Aktam mail -
Abduboqiyev Muxammad mail
link https://doi.org/10.54216/FinTech-I.020105

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new