International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

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

Reem Atassi , Kun Yang

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.

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Doi: https://doi.org/10.54216/IJNS.180201

Vol. 18 Issue. 2 PP. 157-173, (2022)

Neutrosophic set with Adaptive Neuro-Fuzzy Inference System for Liver Tumor Segmentation and Classification Model

Mohammed I. Alghamdi

Lung cancer is the abnormal development of cells in the lung causes serious risk to the health since lung has an interconnected system of blood vessel and lymphatic channel exposed to metastasis. The survival rate of lung cancer depends greatly on the earlier diagnosis and staging of the lung cancer. Computed Tomography (CT) image is commonly employed for lung cancer diagnosis since they offer data regarding distinct portions of the lung. The exactness of finding tumor location, volume and shape acting a major role in positive treatment and diagnosis of tumor. This article designs a novel neutrosophic set with adaptive neuro-fuzzy inference system for liver tumor segmentation and classification (NSANFIS-LTSC) model. The presented NSANFIS-LTSC model aims to identify and classify the presence of liver tumor from medical images. The presented NSANFIS-LTSC model primarily undergoes pre-processing to eradicate the noise. Followed by, the neutrosophic set (NS) based segmentation is applied to identify the affected tumor regions in the CT images. Besides, DenseNet-169 model is utilized to create feature vectors and dragonfly algorithm (DFA) is applied to tune the hyper parameters of the DenseNet-169 model. Finally, ANFIS classifier is exploited for the occurrence and classification of liver tumor. The simulation analysis of the NSANFIS-LTSC model is experimented using benchmark dataset and the results are investigated under several aspects. The simulation outcome reported the betterment of the NSANFIS-LTSC model over the recent methodologies. 

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Doi: https://doi.org/10.54216/IJNS.180202

Vol. 18 Issue. 2 PP. 174-185, (2022)

Network user interest mining method based on Neutrosophic cluster analysis

Abedallah Zaid Abualkishik , Anqi Li

These days’ user interests have become more critical for companies and firms to introduce their content due to the growth in networks and the internet. So this method used neutrosophic sets for network user interest. In this paper, we proposed five main criteria and seventeen sub-criteria to show user interest in the network. The multi-criteria decision-making (MCDM) method is used to deal with various criteria and sub-criteria. So the Analytical Hierarchal Process (AHP) is used to show weights of criteria and sub-criteria to present the user interest in the network. An illustrative example provides to show calculations of the proposed method.

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Doi: https://doi.org/10.54216/IJNS.180203

Vol. 18 Issue. 2 PP. 186-198, (2022)

Neutrosophic Infi-Semi-Open Set via Neutrosophic Infi-Topological Spaces

Suman Das , Rakhal Das , Surapati Pramanik , Binod Chandra Tripathy

In this article an attempt is made to introduce the notion of neutrosophic infi-topological space as an extension of infi-topological space and fuzzy infi-topological space. Besides, we define some open sets, namely, neutrosophic infi-open set, neutrosophic infi-semi-open set, neutrosophic infi-pre-open set, neutrosophic infi-b-open set. Then, we define some continuous functions namely, neutrosophic infi-continuous function, neutrosophic infi-semi-continuous function, neutrosophic infi-pre-continuous function, neutrosophic infi-b-continuous function via neutrosophic infi-topological space. Further, we formulate several interesting results on them via neutrosophic infi-topological spaces.

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Doi: https://doi.org/10.54216/IJNS.180204

Vol. 18 Issue. 2 PP. 199-209, (2022)

Graded Mean Integral Distance Measure and VIKOR Strategy Based MCDM Skill in Trapezoidal Neutrosophic Number

Avishek Chakraborty , Baisakhi Banik , Said Broumi , Soheil Salahshour

This article exceedingly induces a completely new impression of graded mean integral representation in trapezoidal neutrosophic number domain corresponding to each membership function. Furthermore employing these integral representations, a new fangled graded mean integral distance measure is produced between two trapezoidal neutrosophic numbers. Notably, a numerical business economy based Multi Criteria Decision Making (MCDM) problem is fabricated along with the explication of neutrosophic theory to authenticate our suggested course of action in the decision making policy with the prominent solution scheme of VlseKriterijumska Optimizcija I Kaompromisno Resenje (VIKOR) technique for recognising the best alternative from a finite set. Lastly, the comparison work acts as an additional encouragement of our proposed scheme.

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Doi: https://doi.org/10.54216/IJNS.180205

Vol. 18 Issue. 2 PP. 210-226, (2022)

Introduction to Restricted Neutrosophic Set and Its Application

Somen Debnath

This paper is devoted to introduce a novel concept known as restricted neutrosophic set (RNS) as another subclass of neutrosophic set (NS). The purpose of introducing the notion of RNS is to give a new mathematical theory that is more promising and purposeful than the existing fuzzy-centric theories to solve the uncertainty based real-world problems in a lucid manner. From decision-makers point of view, the new mathematical tool can be viewed as a direct extension of Pythagorean neutrosophic set (PNS). The PNS has its own inherent limitation for which the decision-makers can’t answer a certain type of problem. For example, in a certain problem, if we consider the degree of truth-membership =0.8, degree of indeterminate-membership , and the degree of falsity-membership =0.8, then it gives an absurd result under PNS. To remove such kind of absurdity, there is a demand to introduce another superior set-theoretical concept that provides more information for the decision-makers. This gives rise to the introduction of RNS. In RNS, we choose any value belongs to for the three membership degrees so that their product always limited to 1. So, the beauty of RNS is that it can accommodate more information within small range with relaxed membership values i.e under RNS we can consider the maximum membership triplet as . Undoubtedly the RNS gives more compact set-theoretical model to describe imprecise knowledge with ease. Finally, a decision-making approach based algorithm is introduced and applied to solve medical diagnosis problem.

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Doi: https://doi.org/10.54216/IJNS.180206

Vol. 18 Issue. 2 PP. 227-242, (2022)

Mysterious Neutrosophic Linear Models

Maissam Jdid , Huda E. Khalid

Operations research often shortened to the initialism O.R., is a discipline that deals with the development and application of advanced analytical methods to improve decision-making. It is sometimes considered to be a subfield of mathematical sciences. The term management science is occasionally used as a synonym. It has the ability to express the concepts of efficiency and scarcity in a well-defined mathematical model for a specific issue. It has the ability to use scientific methods to solve complex problems in managing large scale systems for factories, institutions, and companies, and enables them to make optimal scientific decisions for the functioning of Its work.  Employing techniques from other mathematical sciences, such as modelling, statistics, and optimization, operations research arrives at optimal or near-optimal solutions to complex decision-making problems. Because of its emphasis on practical applications, operations research has overlapped with many other disciplines, notably industrial engineering. Operations research is often concerned with determining the extreme values of some real-world objective: the maximum (of profit, performance, or yield) or minimum (of loss, risk, or cost). Originating in military efforts before World War II, its techniques have grown to concern problems in a variety of industries. The mathematical model is the simplified image of expressing a practical system from a real life problem or an idea put forward for an executable system, as the mathematical models consist of a goal function through which we search for the maximum or minimum value subject to restrictions. Linear mathematical programming is one of the most important topics in the field of operations research due to their frequent use in most areas of life. When studying linear programming, the first step is to identify the various types of linear models and how to transition from one to the next. We realize that the ideal solution of the linear model is influenced by the coefficients   of the variables of objective function that describes a profit if the model is a maximizing model or represents a cost if the model is a minimization model, which is affected by environmental conditions. The fixed values that represent the right side of the inequalities (constraints), which express the available capital, time, raw resources, and so on, have an impact on the optimum solution. They are also affected by environmental conditions. We used to take these values as fixed values in classical logic, which does not correspond to reality and leads to erroneous solutions to the problems described by the linear model. As a result, it was essential to reformulate the classical linear models' problems, taking into consideration all probable scenarios and changes in the work environment. In this study, we will look into linear models and their kinds in view of neutrosophic logic, which takes into account all of the data and all of the changes that may occur in the issue under investigation, as well as the uncertainty that is encountered in the problem's data. We'll also look at it if the coefficients of the variables in the objective function are neutrosophic values, and the accessible options are neutrosophic values because we'll reformulate the existing linear mathematical models using neutrosophic logic, and show how to convert from one to another using some examples. 

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Doi: https://doi.org/10.54216/IJNS.180207

Vol. 18 Issue. 2 PP. 243-253, (2022)

On NeutroBitopological Space

Bhimraj Basumatary , Jeevan Krishna Khaklary , Said Broumi

The current study shows the study of NeutroBitopological Space. In this work, the properties of NeutroBitopological Space are discussed. It is seen that many properties do not coincide with the properties of general Bitopological space. The terms NeutroInterior, NeutroClosure, and NeutroBoundary are defined with examples also their properties are observed. 

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Doi: https://doi.org/10.54216/IJNS.180208

Vol. 18 Issue. 2 PP. 254-261, (2022)

The Neutrosophic Treatment of the Static Model for the Inventory Management with Safety Reserve

Maissam Jdid , Rafif Alhabib , Huda E. Khalid , A. A. Salama

Institutions must store materials to ensure the continuity of their activity and to avoid incurring big losses as a result of the storage process, various models have been studied that cover all scenarios in which stock insurance is required to allow institutions to continue operating while avoiding losses. The static model with safety reserve is one of these models, and it is used in emergency and ambulance circumstances to transport medicines, food, and fuel, etc. Those in charge of any project must estimate the quantities that will need to be stored in order to ensure that the necessary materials are available and that storage costs are minimized. As a result, a mathematical model has been developed that expresses the circumstance in which a safety reserve is necessary to meet market material demand, and the optimal answer for this model is the required solution. This model is treated in classical logic by adding the amount of the safety reserve to the ideal quantity determined through the static model without a deficit, and this quantity is a fixed amount during each storage cycle over time, which does not correspond to reality and ignores cases of fluctuations demand in the rate of demand for inventory .In this study, three scenarios were used to construct a study for the static stock model with safety reserves and for one substance utilizing neutrosophic theory through three different cases. The First Case: Using the optimal amount of stock that determined by studying the static model with a deficit using neutrosophic logic  , while assuming the safety reserve   as a vague value, either  or . The Second Case: Taking the ideal value of stock that was previously  determined by studying the static model with deficient using neutrosophic logic , wherein regard the safety reserve  as constant value. The third Case: Taking the optimal value of stock that determined by studying the static model with deficient using classical logic, and assuming the safety reserve   as a vague value, either  or .                   In other words, we approached the problem using neutrosophic tools, which accounts for all possible scenarios that may arise throughout the course of the job, yields more accurate results, and so ensures a safe working environment for the facilities at the lowest possible cost.

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Doi: https://doi.org/10.54216/IJNS.180209

Vol. 18 Issue. 2 PP. 262-271, (2022)