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A Review Study On Neutrosophic AH-Algebraic Structures

Neutrosophic Algebraic structures are rich fields for researchers to get many interesting generalizations of classical and fuzzy structures.  This Study is dedicated to give the interested reader some of special neutrosophic algebraic substructures of neutrosophic algebraic structures, especially AH-substructures in neutrosophic rings, spaces, modules, and their generalizations.

groups
Mikail Bal mail -
Katy D. Ahmad mail -
Rozina Ali mail
link https://doi.org/10.54216/JNFS.020105

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new

A Review On Recent Developments In Neutrosophic Linear Diophantine Equations

This paper is dedicated to present a wide review study on the recent advantages of neutrosophic linear diophantine equations and number theory.   We revise the neutrosophic linear diophantine equations, refined neutrosophic Diophantine equations, and n-refined neutrosophic linear Diophantine equations.

groups
Mikail Bal -
Katy D. Ahmad mail -
Rozina Ali
link https://doi.org/10.54216/JNFS.020106

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new

A Short Introduction To The Symbolic Turiyam Vector Spaces and Complex Numbers

This paper is dedicated to define for the first time the concept of Symbolic Turiyam vector space as a generalization of the corresponding neutrosophic one by using the algebra of symbolic Turiyam set. Also, we illustrate many examples to show and clarify the validity of this work.

groups
Mikail Bal mail -
Prem Kumar Singh mail -
Katy D. Ahmad mail
link https://doi.org/10.54216/JNFS.020107

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new

Studying the Parameters of Genetic Algorithms and Their Impact on Problems of Finding the Optimal Solution

Interest in artificial intelligence has recently increased, because of its proven competence and effectiveness in addressing many outstanding issues and problems, as it is a modern science that derives its concepts from simulating the style of thinking and analysis in humans. Genetic algorithms are a branch of this science, which requires that their determinants be selected according to the problem at hand. In this paper, we examined the effect of changing some of the determinants of genetic algorithms, namely mutation probability and population size, on the accuracy of results for three problems of different frequency spectrum. The effect of the election algorithm in obtaining accurate results was also studied, by comparing the roulette wheel algorithm and Elitism algorithm.

groups
Ousama Asaad Bahbouh mail
link https://doi.org/10.54216/PAMDA.010203

Volume & Issue

Vol. Volume 1 / Iss. Issue 2

Details open_in_new

A Short Introduction To The Concept Of Symbolic Turiyam Matrix

Recently, Turiyam set is introduced to deal with data set beyond three-way fuzzy space. In this process a problem is addressed while precise representation of Turiyam attributes in matrix format for knowledge processing tasks. To resolve this issue, current paper defines concept of symbolic Turiyam matrix by using the symbolic Turiyam set concept. In addition, the paper illustrates several examples to clarify the algebraic structure of these matrices such as addition, multiplication, and symmetry of these matrices.

groups
Mikail Bal -
Prem Kumar Singh mail -
Katy D. Ahmad mail
link https://doi.org/10.54216/JNFS.020108

Volume & Issue

Vol. Volume 2 / Iss. Issue 1

Details open_in_new

Instance Segmentation and Labeling of Teeth from Dental X-Ray using Region Based Convolutional Neural Network

Radiological Examination of teeth is a primary step that a dentist usually takes to diagnose the problem before further treatment. The diagnosis involves searching for diseases ranging from cavities to tumors, So, correct diagnosis is vital for timely and precise treatment. This paper attempts to solve one of the elementary steps in diagnosis i,e, Labeling of Teeth, using Region-Based Convolutional Neural Networks that help reduce monotonous work for a dentist and provide segments of each tooth for further diagnosis of diseases with the use of Mask R-CNN. We used 200 panoramic X-Ray images of 4 categories to train, test and validate the model. Mask R-CNN with pre-trained weights of COCO Dataset is employed. We further tuned the weights of the dental X-ray dataset considered in the paper for better performance. On testing the learned model, the performance measures were encouraging.

groups
Sireesha Rodda mail -
Vaibhav Kovela mail -
Sanjay Dokula mail
link https://doi.org/10.54216/JNFS.020202

Volume & Issue

Vol. Volume 2 / Iss. Issue 2

Details open_in_new

An Integrated Neutrosophic AHP and TOPSIS Methods for Assessment Renewable Energy Barriers for Sustainable Development

Technologies of renewable energy (RE) play a vital role in increasing economic growth in many countries and present a solution for many social, ecological, and political problems. Though, RE faces many barriers that prevent its development. So, these barriers are ranked and identified in this work, including five main barriers and fifteen sub barriers. In addition, five strategies are identified and ranked. The first step in this work, the Analytical Hierarchy Process (AHP) approach used to rank main and sub barriers under Single Valued Neutrosophic Sets (SVNSs). Then Neutrosophic Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) approach assessed the five strategies. The outcomes of this work show that Commercial barriers ranked as the highest barriers and social-ecological ranked as the lowest barriers by using the AHP approach. Outcomes by neutrosophic TOPSIS show that capital assistant ranked as the highest strategies and RE goals ranked as the lowest strategies. This work can help decision-makers, governments for building a RE by using these strategies to overcome barriers that faced them.

groups
Reem Atassi mail -
Kun Yang mail
link https://doi.org/10.54216/IJNS.180201

Volume & Issue

Vol. Volume 18 / Iss. Issue 2

Details open_in_new

An Introduction To The Symbolic Turiyam R-Modules and Turiyam Modulo Integers

Recently, Turiyam set is introduced for dealing the fourth dimensional data sets. These types of data sets exists when an expert unable to categorize them in Euclidean, Non-Euclidean, Hybrid or NeutroGeometry. To deal with these types of data set Turiyam matrix and its algebra is required. Hence the current paper introduce the concept of Symbolic Turiyam R-module as a generalization of the corresponding neutrosophic one by using the algebra of symbolic Turiyam set. The paper also presents concept pf finite Turiyam modulo integer and illustrate many examples to show and clarify the validity of this work.

groups
Mikail Bal mail -
Prem Kumar Singh mail -
Katy D. Ahmad mail
link https://doi.org/10.54216/JNFS.020201

Volume & Issue

Vol. Volume 2 / Iss. Issue 2

Details open_in_new

The Fuzziness, Similarity And The Symmetry Properties On The Neutrosophic Interval Probability

Abstract The neutrosophic interval statistical number (NISN) has been known to be very useful in expressing the interval values under indeterminate environments. One of the essential and so important useful as tools for measuring the degree of similarity between sets of given objects is the similarity measure . In this paper, neutrosophic numbers as well as the generalized Dice similarity measure for neutrosophic numbers for two sets are defined after which the axioms of fuzziness similarity and symmetry satisfying the NISN the properties were proved.

groups
link

Volume & Issue

Details open_in_new

The Fuzziness, Similarity And The Symmetry Properties On The Neutrosophic Interval Probability

Abstract The neutrosophic interval statistical number (NISN) has been known to be very useful in expressing the interval values under indeterminate environments. One of the essential and so important useful as tools for measuring the degree of similarity between sets of given objects is the similarity measure . In this paper, neutrosophic numbers as well as the generalized Dice similarity measure for neutrosophic numbers for two sets are defined after which the axioms of fuzziness similarity and symmetry satisfying the NISN the properties were proved.

groups
link

Volume & Issue

Details open_in_new