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On Refined Neutrosophic Vector Spaces I

The objective of this paper is to present the concept of a refined neutrosophic vector space. Weak(strong) refined neutrosophic vector spaces and subspaces, and, strong refined neutrosophic quotient vector spaces are studied. Several interesting results and examples are presented. It is shown that every weak (strong) refined neutrosophic vector space is a vector space and it is equally shown that every strong refined neutrosophic vector space is a weak refined neutrosophic vector space.

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M.A. Ibrahim mail -
A.A.A. Agboola mail -
B.S. Badmus mail -
S.A. Akinleye mail
link https://doi.org/10.54216/IJNS.070202

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new

Systematic Literature Review on Quantum Cryptography

In the field of cryptography, new tasks are generated when advancement has taken place from conventional computing to quantum computing. In the case of computer security, cryptography had always been a valuable and essential tool. When quantum mechanics principles are applied to cryptography, it gives rise to a new system that will secure communication and also assures that no spying can take place. The work below presents the review on quantum cryptography, which includes the concept of quantum cryptography and what can be its evaluation measures. Articles of quantum cryptography from various databases have been studied. In this SLR various research questions are identified and on the basis of the results of their answers have been formulated for this review along with that various performance measures are also discussed.

groups
Manav Sohal mail -
Mandeep Kaur Sandhu mail -
Rupinder kaur mail
link https://doi.org/10.54216/JCIM.070101

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

Details open_in_new

Plithogenic n-Super Hypergraph in Novel Multi-Attribute Decision Making

An optimal decision-making environment demands feasible Multi-Attribute Decision-Making methods. Plithogenic n – Super Hypergraph introduced by Smarandache is a novel concept and it involves many attributes. This article aims to bridge the concept of Plithogenic n-Super Hypergraph in the vicinity of optimal decision making. This research work introduces the novel concepts of enveloping vertex, super enveloping vertex, dominant enveloping vertex, classification of the dominant enveloping vertex (input, intervene, output dominant enveloping vertices), plithogenic connectors. An application of Plithogenic n-super hypergraph in making optimum decisions is discussed under various decision-making scenarios. Several insights are drawn from this research work and will certainly benefit the decision-makers to overcome the challenges in building decisions.

groups
Florentin Smarandache mail -
Nivetha Martin mail
link https://doi.org/10.54216/IJNS.070101

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

Details open_in_new

Introduction to NeutroRings

The objective of this paper is to introduce the concept of NeutroRings by considering three NeutroAxioms (NeutroAbelianGroup (additive), NeutroSemigroup (multiplicative) and NeutroDistributivity (multiplication over addition)). Several interesting results and examples on NeutroRings, NeutroSubgrings, NeutroIdeals, NeutroQuotientRings and NeutroRingHomomorphisms are presented. It is shown that the 1st isomorphism theorem of the classical rings holds in the class of NeutroRings.

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Agboola A.A.A mail
link https://doi.org/10.54216/IJNS.070203

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new

Classical Homomorphisms Between n-Refined Neutrosophic Rings

This paper studies classical homomorphisms between n-refined neutrosophic ring and m-refined neutrosophic ring. It proves that every m-refined neutrosophic ring  is a homomorphic image of n-refined neutrosophic ring , where . Also, it presents a discussion of kernels and some corresponding isomorphisms between those rings.

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Mohammad Abobala mail
link https://doi.org/10.54216/IJNS.070204

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new

AH-Substructures in Neutrosophic Modules

This article introduces the concept of AH-submodule, AHS-submodule of a neutrosophic module, and AHS-homomorphism. This work presents some basic notions and properties of these concepts such as AH-Kernel, AH-Quotient, and dimension, and determines the algebraic structure of weak neutrosophic module over a commutative ring R. 

groups
Mohammad Abobala mail -
Riad K. Alhamido mail
link https://doi.org/10.54216/IJNS.070205

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new

A Note On Neutrosophic Soft Menger Topological Spaces

In this paper, the concept of neutrosophic soft Mengerness, neutrosophic soft near Mengerness and neutrosophic soft almost Mengerness are introduced and studied. Some characterizations of neutrosophic soft almost Mengerness in terms of neutrosophic soft regular open or neutrosophic soft regular closed are given.

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A.Haydar Es mail
link https://doi.org/10.54216/IJNS.070102

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

Details open_in_new

A Short Remark on Vortex as Fluid Particle from Neutrosophic Logic perspective (Towards “fluidicle” or “vorticle” model of QED.)

In a previous paper in this journal (IJNS), it is mentioned about a possible approach to re-describe QED without renormalization route. As it is known that in literature, there are some attempts to reconcile vortex-based fluid dynamics and particle dynamics. Some attempts are not quite as fruitful as others. As a follow up to previous paper, the present paper will discuss two theorems for developing unification theories, and then point out some new proposals including by Simula (2020) on how to derive Maxwell equations in superfluid dynamics setting; this could be a new alternative approach towards “fluidicle” or “vorticle” model of QED. Further research is recommended in this new direction.

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Victor Christianto mail -
Florentin Smarandache mail
link https://doi.org/10.54216/IJNS.070103

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

Details open_in_new

n-Refined Neutrosophic Vector Spaces

This paper introduces the concept of n-refined neutrosophic vector spaces as a generalization of neutrosophic vector spaces, and it studies elementary properties of them. Also, this work discusses some corresponding concepts such as weak/strong n-refined neutrosophic vector spaces, and n-refined neutrosophic homomorphisms.  

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Florentin Smarandache mail -
Mohammad Abobala mail
link https://doi.org/10.54216/IJNS.070104

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

Details open_in_new

A New Approach Of Neutrosophic Topological space

  In this paper, a new approach of neutrosophic topological space (NA-NTS) is going to be introduced which is more general than neutrosophic topological space. Moreover, a new kind of neutrosophic sets and neutrosophic concepts in this new space is going to be created, which may makes us created a new kind in neutrosophic topology. We prove that a new approach of neutrosophic topological space is not a classical topological space. Also, a new approach of neutrosophic topological space is neither neutrosophic topological space nor neutrosophic crisp topological space. Many examples and theories are presented..  

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Riad K. Al-Hamido mail
link https://doi.org/10.54216/IJNS.070105

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

Details open_in_new