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International Journal of Neutrosophic Science | 2020

An Introduction to Neutro-Fine Topology with Separation Axioms and Decision Making

  The set which describes the uncertainty incident with three levels of attributes is entitled as a neutrosophic set. The unique collection of open sets which contains all types of open sets is termed as fine-open sets. The current study introduces a topology on merging these two sets, called neutro-fine topological space. Additionally, the approach of separation axioms is implemented in such space. Furthermore, the real-life application is examined as a decision-making problem in this space. The problem is to make an unfavorable query into a favorable one by determining the complement and absolute complement of such issued neutro-fine open sets. This problem desires to find a positive solution. The solving stepwise mechanism reveals in the algorithm, also formulae provide to compute the outcome with explanatory examples.  

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V. Chinnadurai mail -
M. P. Sindhu mail
link https://doi.org/10.54216/IJNS.120103

Volume & Issue

Vol. Volume 12 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2020

Neutrosophic Vague Incidence Graph

  Vague sets gives more intuitive graphical notation of vague data, that devotes better analysis in information relationships, incompleteness and similarity measures. Neutrosophic graphs are used as a mathematical tool to kept an imprecise and unspecified information. In this paper, the neutrosophic vague incidence graphs are introduced. The edge-connectivity, vertex-connectivity and pair-connectivity in neutrosophic vague incidence graphs are established. The given results are illustrated with suitable example.  

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S. Satham Hussain mail -
R. Jahir Hussain mail -
M. Vignesh Babu mail
link https://doi.org/10.54216/IJNS.120104

Volume & Issue

Vol. Volume 12 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2020

Neutrosophic Soft Block Matrices And Some Of Its Properties

  In real life situations, there are many issues in which there are uncertainties, vagueness, complexities and unpredictability. Neutrosophic sets are a mathematical tool to address some issues which cannot be met using the existing methods. Neutrosophic soft matrices play a crucial role in handling indeterminant and inconsistent information during decision making process. The main focus of this article is to discuss the concept of neutrosophic sets, neutrosophic soft sets, neutrosophic soft matrices theory  and finally to discuss about neutrosophic soft block matrics which are very useful and applicable in various situations involving uncertainties and imprecisions.  In this article, neutrosophic soft block matrices, various types of neutrosophic soft block matrices, some operations on it along with some properties associated with it are discussed in details.  

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Mamoni Dhar mail
link https://doi.org/10.54216/IJNS.120105

Volume & Issue

Vol. Volume 12 / Iss. Issue 1

Details open_in_new
International Journal of Neutrosophic Science | 2020

Decision Making on Teachers’ adaptation to Cybergogy in Saturated Interval- valued Refined Neutrosophic overset /underset /offset Environment

  Neutrosophic overset, neutrosophic underset and neutrosophic offset introduced by Smarandache are the special kinds of neutrosophic sets with values beyond the range [0,1] and these sets are pragmatic in nature as it represents the real life situations. This paper introduces the concept of saturated refined neutrosophic sets and extends the same to the special kinds of neutrosophic sets. The proposed concept is applied in decision making on Teacher’s adaptation to cybergogy. The decision making environment is characterized by different types of teachers, online teaching skills and various training methods. Fuzzy relation is used to match the most suitable method to the different kinds of teachers with the intervention of saturated interval valued neutrosophic refined oversets, offsets and undersets. The results obtained by applying the notion of saturated refined sets using various distance measures represent the effect of training methods on teacher’s adaptation to learner-centred teaching methods, which certainly give space to gain many insights on the relationship between quality of training and teacher’s adaptation rate. The proposed concept has wide scope and few limitations.  

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Nivetha Martin mail -
Priya.R mail -
Florentin Smarandache mail
link https://doi.org/10.54216/IJNS.120202

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new
International Journal of Neutrosophic Science | 2020

n-Cyclic Refined Neutrosophic Algebraic Systems of Sub-Indeterminacies, An Application to Rings and Modules

  Refining the indeterminate I into many levels of indeterminacy is a way to explore many neutrosophic algebraic structures.This paper introduces the concept of n-cyclic refined algebraic system of sub-indeterminacies as a new way to refine a neutrosophic indeterminate I. This idea will be used to introduce the notion of n-cyclic refined neutrosophic ring and to study its AH-substructures. Also, this work presents the concept of n-cyclic refined neutrosophic modules with many related structures.  

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Mohammad Abobala mail
link https://doi.org/10.54216/IJNS.120203

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new
International Journal of Neutrosophic Science | 2020

On Nm-semi-open sets in neutrosophic minimal structure spaces

In this paper, we introduce the notions of Nm-semi-open sets, semi-interior and semi-closure operators inneutrosophic minimal structures. We investigate some basic propertiesof such notions. Also we introducethe notion of Nm-semi-continuous functions and study characterizations of Nm-semi-continuous functions byusing the semi-interior and semi-closure operators

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SELVARAJnilGANESAN mail
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International Journal of Neutrosophic Science | 2020

Completeness and Compactness in Standard Single Valued Neutrosophic Metric Spaces

  In a recent paper, we have introduced the notion of standard single valued neutrosophic metric space as a generalization of standard fuzzy metric spaces given by J.R. Kider and Z.A. Hussain. In this paper, we continue our previous work by introducing the notions of complete standard single valued neutrosophic metric space and compact standard single valued neutrosophic metric space. Furthermore, we give a number of properties and characterizations of these notions and relationship between them.  

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Soheyb Milles mail -
Abdelkrim Latrech mail -
Omar Barkat mail
link https://doi.org/10.54216/IJNS.120204

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new
International Journal of Neutrosophic Science | 2020

Applications of Neutrosophic Logic of Smart Agriculture via Internet of Things

  This study presents a smart agriculture mechanism model equipped with neutrosophy theory for the first time. The model is created by meticulously bringing together the fields of decision making, IoT and cloud computing. We have demonstrated that smart agriculture can be used in integration with neutrosophic, integrated with IoT. This integration is a model created by making much more detailed calculations by taking into account and using the uncertainty situations in neutrosophic numbers and logic, by automating both the geometric analysis of the soil and surface control and the numerical data of the environment for smart agriculture.  

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Selçuk Topal mail -
Ferhat Tas mail -
Said Broumi mail -
Oguz Ayhan Kirecci mail
link https://doi.org/10.54216/IJNS.120205

Volume & Issue

Vol. Volume 12 / Iss. Issue 2

Details open_in_new