Neutrosophic Borda method

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doi:https://doi.org/10.54216/IJNS.190119

International Journal of Neutrosophic Science | 2022

On Neutrosophic Generalized Alpha Generalized Separation Axioms

The paper provided a new notion of neutrosophic separation axioms as neutrosophic gαg-Ri-space & neutrosophic gαg-Tj-space (note that the indexes i & j are natural numbers of the spaces R & T are from 0 to 1 & from 0 to 2 alternately).

groups

Murtadha M. Abdulkadhim mail -

Qays H. Imran mail -

Amer K. Abed mail -

Said Broumi mail

link https://doi.org/10.54216/IJNS.190107

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

On Neutrosophic Crisp Generalized Alpha Generalized Closed Sets

This study reveals new concepts of neutrosophic crisp closed sets named neutrosophic crisp g-closed sets, neutrosophic crisp αg-closed sets, neutrosophic crisp gα-closed sets, and neutrosophic crisp gαg-closed sets. Furthermore, their ultimate features in neutrosophic crisp topological spaces are examined. Moreover, the consequent new concepts are introduced, such as neutrosophic crisp gαg-closure and neutrosophic crisp gαg-interior and finding some of their characteristics.  

groups

Murtadha M. Abdulkadhim mail -

Qays H. Imran mail -

Ali H. M. Al-Obaidi mail -

Said Broumi mail

link https://doi.org/10.54216/IJNS.190108

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version)

In this paper, we prove that Neutrosophic Statistics is more general than Interval Statistics, since it may deal with all types of indeterminacies (with respect to the data, inferential procedures, probability distributions, graphical representations, etc.), it allows the reduction of indeterminacy, and it uses the neutrosophic probability that is more general than imprecise and classical probabilities and has more detailed corresponding probability density functions. While Interval Statistics only deals with indeterminacy that can be represented by intervals. And we respond to the arguments by Woodall et al. [1]. We show that not all indeterminacies (uncertainties) may be represented by intervals. Also, in some cases, we should better use hesitant sets (that have less indeterminacy) instead of intervals. We redirect the authors to the Plithogenic Probability and Plithogenic Statistics which are the most general forms of MultiVariate Probability and Multivariate Statistics respectively (including, of course, the Imprecise Probability and Interval Statistics as subclasses).

groups

Florentin Smarandache mail

link https://doi.org/10.54216/IJNS.190111

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

Interval Valued Neutrosophic Subbisemirings of Bisemirings

We introduce the notion of interval valued neutrosophic subbisemirings (IVNSBSs), level sets of IVNSBSs and interval valued neutrosophic normal subbisemirings (IVNNSBSs) of bisemirings. Also, we introduce an approach to (α , β)-IVNSBSs and IVNNSBSs over bisemirings. Let Ã be an interval valued neutrosophic set (IVN set) in a bisemiring S. We have proved that &scaron; = (sTA&sbquo; sIA&sbquo; sFA) is an IVNSBS of S if and only if all non-void level set S(T,S) is a subbisemiring of S for t, s ∈ [[0,1]].  Let Ã be an IVNSBS  of a bisemiring S and V be the strongest interval valued neutrosophic relation (SIVNR) of S.  Prove that Ã is an IVNSBS of S if and only if  V is an IVNSBS of S  X S. We illustrate homomorphic image of IVNSBS is an IVNSBS. We find that homomorphic preimage of IVNSBS is an IVNSBS. Examples are provided to illustrate our results.

groups

M. Palanikumar mail -

K. Arulmozhi mail -

Aiyared Iampan mail

link https://doi.org/10.54216/IJNS.190109

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

Agriculture Production Decision Making using Generalized q-Rung Neutrosophic Soft Set Method

This paper introduces the generalized q-rung neutrosophic soft set (GqRNSSS) theory and its use to solve actual problems. We also define a few operations that make use of the GqRNSSS. The GqRNSSS is constructed by generalizing both the Pythagorean neutrosophic soft set (PyNSSS) and Pythagorean fuzzy soft set (PyFSS). We give a method for agricultural output that is based on the proposed similarity measure of GqRNSSS. If two GqRNSSS are compared, it can be determined whether or not a person produces good agricultural output. We support a strategy for dealing with the decision-making (DM) problem that makes use of the generalized qrung soft set model. In this article, we discuss the application of a similarity measure between two GqRNSSS in agricultural output. Show how they can be successfully applied to challenges with uncertainty.

groups

G. Shanmugam mail -

M. Palanikumar mail -

K. Arulmozhi mail -

Aiyared Iampan mail -

Said Broumi mail

link https://doi.org/10.54216/IJNS.190112

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

Neutrosophic C-Means Clustering with Optimal Machine Learning Enabled Skin Lesion Segmentation and Classification

Early detection and classification of skin lesions using dermoscopic images have attracted significant attention in the healthcare sector. Automated skin lesion segmentation becomes tedious owing to the presence of artifacts like hair, skin line, etc. Earlier works have developed skin lesion detection models using clustering approaches. The advances in neutrosophic set (NS) models can be applied to derive effective clustering models for skin lesion segmentation. At the same time, artificial intelligence (AI) tools can be developed for the identification and categorization of skin cancer using dermoscopic images. This article introduces a Neutrosophic C-Means Clustering with Optimal Machine Learning Enabled Skin Lesion Segmentation and Classification (NCCOML-SKSC) model. The proposed NCCOML-SKSC model derives a NCC-based segmentation approach to segment the dermoscopic images. Besides, the AlexNet model is exploited to generate a feature vector. In the final stage, the optimal multilayer perceptron (MLP) model is utilized for the classification process in which the MLP parameters are chosen by the use of a whale optimization algorithm (WOA). A detailed experimental analysis of the NCCOML-SKSC model using a benchmark dataset is performed and the results highlighted the supremacy of the NCCOML-SKSC model over the recent approaches.

groups

Fatma Taher mail -

Ahmed Abdelaziz mail

link https://doi.org/10.54216/IJNS.190113

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

Neutrosophic-Based Multi-Objectives Model for Financial Risk Management

Financial organizations can no longer ignore the problem of managing risk. As a component of the financial system, efficient Financial Risk Management (FRM) may significantly affect business results. These findings show that the triangular neutrosophic numbers simulate capital asset key metrics. Performance metrics for capital assets may be modeled using this kind of value by accounting for all conceivable outcomes for their attainment. The profit on capital instruments, the risk of financial investments, and the covariance of capital instruments are the Key Performance Metrics (KPIs) modeled using triangular neutrosophic values. Specifically, this research employs two techniques. Prioritizing parameters for financial risk management dimensions using the Analytic Hierarchy Process (AHP). Second, the performance evaluation of financial risk management was evaluated from the perspective of several groups of specialists by the COCOSO method to assess the ranking of possible replies further. By using the presented method, we may better identify where to put our efforts and how to allocate our resources for greater effectiveness in managing financial risks.

groups

Noura Metawa mail -

Nahia Mourad mail

link https://doi.org/10.54216/IJNS.190114

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

Apply Neutrosophic AHP Analysis of the Internet of Things (IoT) and the Internet of Behavior (IoB) in Smart Education

The concept of the "Internet of Things" (IoT) has emerged in recent years to describe our increasingly interconnected physical world. Even if there are now goods on the market that are connected to the Internet of Things, there are still obstacles to be addressed, such as security concerns and a general lack of trust in and familiarity with the technology. The purpose of this research is to examine what goes into making a good Internet of Things (IoT) system for smart education that deals with IoT. In this research, we use neutrosophic theory and the Analytic Hierarchy Process (AHP) to create a decision-support system based on rules for assessing the impactful elements of the Internet of Things in smart education. According to the results of this investigation, security, value, and connectivity are more crucial than intangible qualities (Telepresence and Intelligence). This research suggests that the internet of behavior (IoB) and a sustainable Internet of Things (IoT) ecosystem requires strong IoT security measures to be implemented once smart education has established a reliable IoT connection. Likewise, smart education needs to think about the benefits of IoT security and IoT ethics for the goods they use and the comfort of their staff.

groups

Ossama H. Embarak mail -

Maryam J. Almesmari mail -

Fatima R. Aldarmaki mail

link https://doi.org/10.54216/IJNS.190115

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022

Exact Solution for Neutrosophic System of Ordinary Differential Equations by Neutrosophic Thick Function Using Laplace Transform

In this work, the idea of neutrosophic thick function has been proposed for solving a neutrosophic system of ordinary differential equations of various orders by the Laplace transform. This proposed scheme method is effective and simple to reach an exact solution.

groups

George A. Toma mail

link https://doi.org/10.54216/IJNS.190116

Volume & Issue

Vol. Volume 19 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2022