MCDM Problem using Generalized Dodecagonal Neutrosophic Number using Max – Min and Min – Max Principle

L.Jeromia; A.; D.Nagarajan; broumi

doi:https://doi.org/10.54216/IJNS.180425

International Journal of Neutrosophic Science | 2022

Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces

Our purpose in this paper, is to introduce some of new continuous functions, called fuzzy neutrosophic perfectly continuous, fuzzy neutrosophic almost perfectly continuous and fuzzy neutrosophic strongly continuous in the fuzzy neutrosophic topological spaces. We give some theorems, propositions and some necessary examples related to presented definitions. Then, we discuss the relations among the new defined functions.

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Tunis M. Ali mail -

Fatimah M. Mohammed mail

link https://doi.org/10.54216/IJNS.180416

Volume & Issue

Vol. Volume 18 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2022

On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces

In this paper, we introduce a new set called Pythagorean neutrosophic beta-open set with this concept, and we introduce interior and closure of Pythagorean neutrosophic beta-open set in a Pythagorean neutrosophic topological spaces by utilizing beta-open set and we introduce the chii, ii, iiibeta-spaces and di, ii, iiibetaspaces from the pair of distinct points and we have derived the necessary and sufficient conditions by utilizing beta-open sets. We also go through some containment relations for interiors and closures of beta-open sets and studied some of their characteristics.

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P. Basker mail -

broumi said mail

link https://doi.org/10.54216/IJNS.180417

Volume & Issue

Vol. Volume 18 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2022

On the Structure of Number of Neutrosophic Clopen Topological Space

Let X be a finite set having n elements. The formula for giving the number of topologies T(n) is still not obtained. If the number of elements n of a finite set is small, we can compute it by hand. However, the difficulty of finding the number of the topology increases when n becomes large. A topology describes how elements of a set are spatially related to each other, and the same set can have different topologies. Studying this particular area is also a highly valued part of the topology, and this is one of the fascinating and challenging research areas. Note that the explicit formula for finding the number of topologies is undetermined till now, and many researchers are researching this particular area. This paper is towards the formulae for finding the number of neutrosophic clopen topological spaces having two, three, four, and five open sets. In addition, some properties related to formulae are determined.

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Jili Basumatary mail -

Bhimraj Basumatary mail -

Said Broumi mail

link https://doi.org/10.54216/IJNS.180418

Volume & Issue

Vol. Volume 18 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2022

More on Neutrosophic Nano Open Sets

In this paper, we introduce the concepts of neutrosophic nano δ-open sets and some stronger and weaker forms of neutrosophic nano open sets in neutrosophic nano topological spaces. And, show that the set of all neutrosophic nano δ-open sets are also a neutrosophic nano topology, which is called the neutrosophic nano δ topology. Further, we dealt with the concepts of neutrosphic nano δ-interior and neutrosophic nano δ-closure operators. Moreover, we define the product related neutrosophic nano topological spaces and proved some theorems related to this.

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A. Vadivel mail -

C. John Sundar mail -

K. Kirubadevi mail -

S. Tamilselvan mail

link https://doi.org/10.54216/IJNS.180419

Volume & Issue

Vol. Volume 18 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2022

Interval-Valued Neutrosophic Ideals of Hilbert Algebras

The concept of interval-valued neutrosophic sets (IVNSs) was first introduced by Wang et al. (Wang, H.; Smarandache, F.; Zhang, Y. Q.; Sunderraman, R. Interval neutrosophic sets and logic: Theory and applications in computing. Hexis, Phoenix, Ariz, USA, 2005.). In this paper, the concept of IVNSs to ideals of Hilbert algebras is introduced. The homomorphic inverse image of interval-valued neutrosophic ideals (IVN ideals) in Hilbert algebras is also studied and some related properties are investigated.

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Aiyared Iampan mail -

P. Jayaraman mail -

S. D. Sudha mail -

N. Rajesh mail

link https://doi.org/10.54216/IJNS.180420

Volume & Issue

Vol. Volume 18 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2022

Types of Energy in Nover Top Graphs

Energy of graphs plays a vital role in the field of application in energy. Neutrosophic over top graph theory is more efficient and accurate results than other existing methods. In this research study, we present concepts of Energy, Laplaican energy and Signless laplacian energy in Nover top graphs. Describe some of their properties, develop relationship among them and their application.

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G.Muthumari mail -

R.Narmada Devi mail

link https://doi.org/10.54216/IJNS.180422

Volume & Issue

Vol. Volume 18 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2022

Heptapartitioned neutrosophic soft set

The aim of this paper is to introduce the concept of heptapartitioned neutrosophic soft set and to study some of its basic properties. This kind of set can be considered as a significant extension of the idea of neutrosophic set. In general, our research is based on the earlier study presented by Radha and Stanis Arul Mary in 2021. However, we combine their initial definition with the inspiring notion of soft set (which has been established by Molodtsov in 1999). We examine algebraic operations on our sets. Then we show that the particular choose of exactly seven neutrosophic logical values has an interesting interpretation in terms of ancient Jaina logic (which has been developed centuries ago in India to deal with imprecise knowledge and the matter of paraconsistency). Moreover, we exhibit some other potential practical applications of our theoretical concept. For example, it can be applied in widely understood social sciences.

groups

S. Broumi mail -

T. Witczak mail

link https://doi.org/10.54216/IJNS.180423

Volume & Issue

Vol. Volume 18 / Iss. Issue 4

Details open_in_new

Journal of Neutrosophic and Fuzzy Systems | 2022

Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers

The objective of this paper is to suggest two new conjectures concerning the invertible elements in 3-cyclic, and 4-cyclic refined neutrosophic rings of integers, where the invertibility condition shows that the solution of some Diophantine equations may determine the classification of the group of units of these algebraic rings.

groups

Oliver Von Shtawzen mail

link https://doi.org/10.54216/JNFS.030203

Volume & Issue

Vol. Volume 3 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2022

Diabetic Neuropathy Severity Assessment: A Neutrosophic approach

In this work a Neutrosophic approach has been implemented to assess the severity of diabetic neuropathy. Vibratory Perception Threshold (VPT) data was acquired from 600 participants. The acquired data was utilised to obtain the various criteria to assess the severity of diabetic neuropathy which is a fatal consequence of Diabetes mellitus. A single valued Neutrosophic set was employed to assess and evaluate the given medical condition. Multi Criteria Decision Making (MCDM) was used to address the severity. The hybrid score accuracy function and the collective correlation of the decision matrices were calculated and were used to estimate the weights which ultimately aided in the ranking process. The results corroborated that Grade II neuropathy is the most severe condition and needs more conscientious diagnosis. 

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R. Sundareswaran mail -

V. Mahesh mail -

Said Broumi mail -

R. Dhanush Babu mail -

M Vahini mail

link https://doi.org/10.54216/IJNS.180424

Volume & Issue

Vol. Volume 18 / Iss. Issue 4

Details open_in_new

International Journal of Neutrosophic Science | 2022