The theory of plithogeny developed by Smarandache is described as a more generalized form of representing sets of different nature such as crisp, fuzzy, intuitionistic and neutrosophic. Plithogenic set comprises degree of appurtenance and contradiction degree with respect only to the dominant attribute. This paper introduces extended plithogenic sets comprising degrees of appurtenance and contradiction with respect to both dominant and recessive attributes. The extension of the 5-tuple Plithogenic sets to a 7- tuple plithogenic sets helps in developing a more comprehensive kind of Plithogenic sociogram. The newly developed plithogenic sets and its implications in Plithogenic sociogram is validated by the decision making problem on food processing industries. The obtained results using extended plithogenic sets are more promising in comparison to the conventional plithogenic sets. The proposed kind of plithogenic sets will benefit the decision makers to make optimal decisions based on both optimistic and pessimistic approaches.
Read MoreDoi: https://doi.org/10.54216/IJNS.200401
Vol. 20 Issue. 4 PP. 08-35, (2023)
A new classes of sets called fuzzy neutrosophic M-open sets and fuzzy neutrosophic M-Closed sets in fuzzy neutrosophic topology are introduced some characterizations of these notions have been presented. After given the fundamental definitions of the new notions, we studided some theorems, propositions and some necessary relations with examples related to these notions had been discussed.
Read MoreDoi: https://doi.org/10.54216/IJNS.200402
Vol. 20 Issue. 4 PP. 36-45, (2023)
In this paper, we introduce the notion of non- Archimedean neutrosophic normed space and also establish Hyers-Ulam-Rassias-type stability results concerning the Cauchy, Pexiderized Cauchy. We determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean Neutrosophic Normed Space. This work indeed presents a relationship between four various disciplines, the theory of neutrosophic normed space, non – Archimedean, Hyers-Ulam-Rassias stability and functional equation.
Read MoreDoi: https://doi.org/10.54216/IJNS.200403
Vol. 20 Issue. 4 PP. 46-57, (2023)
This is a review paper, where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.
Read MoreDoi: https://doi.org/10.54216/IJNS.200404
Vol. 20 Issue. 4 PP. 58-64, (2023)
Smarandache developed the idea of hypersoft set (HSS) theory as an extension of soft set (SS) theory. HSS provides a general mathematical framework for handling data that can be formulated as several trait-valued disjoint sets which blend to various traits. The major goal of this article is to lay the footing for supplying a new model called bipolar fuzzy hypersoft sets (BFHSSs) by linking both fuzzy sets (FSs) and HSSs under bipolarity property. By using positive and negative membership functions and multi-argument functions, these structures work best for testing uncertainty. This makes them better at solving real-world problems, especially ones that have both good and bad sides. This paper also has different operations for BFHSSs, such as absolute BFHSS, null BFHSS, complement, subset, union, intersection, and their related properties. Moreover, operations like OR and AND for BFHSS have been instituted. Some properties are demonstrated, and some numerical examples are given to illustrate the mechanism of using these tools. Finally, these tools are applied in the decision-making process based on an algorithm that is built.
Read MoreDoi: https://doi.org/10.54216/IJNS.200405
Vol. 20 Issue. 4 PP. 65-77, (2023)
In this paper, we introduce the concepts of neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals of UP (BCC)-algebras. The characteristic neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals have also been studied. The relationshipbetween neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals and their level subsets is provided. The Cartesian product of neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals is also supplied. Finally, we also find the property of the homomorphic pre-image of neutrosophic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and strong UP (BCC)-ideals.
Read MoreDoi: https://doi.org/10.54216/IJNS.200406
Vol. 20 Issue. 4 PP. 78-92, (2023)
In this paper, neutrosphic hypersoft δ-open sets are introduced by defining the neutrosophic hypersoft regular open sets, pre-open sets, δ-interior and δ-closure. Under the guidance of these definitions, neutrosophic hyper- soft δ semi-open sets and δ pre-open sets are also introduced. Further, we have deduced inuitionistic hypersoft topology and fuzzy hypersoft topology from the neutrosophic hypersoft topology. Moreover, we discuss about the relations between neutrosphic hypersoft δ-open sets, δ semi-open sets, δ pre-open sets, semi-open sets and pre-open sets and their properties with examples.
Read MoreDoi: https://doi.org/10.54216/IJNS.200407
Vol. 20 Issue. 4 PP. 93-105, (2023)
In this paper, we delivered pioneering notions of closed sets in the neutrosophic crisp sense. In other words, we discussed -closed sets, -closed sets, and -closed sets in neutrosophic crisp topological space. Moreover, the subsequent innovative ideas are established, for instance, -closure and -interior in neutrosophic crisp topological space, and obtaining numerous of their highlights. Besides, we submitted different kinds of neutrosophic crisp continuous functions and their associations.
Read MoreDoi: https://doi.org/10.54216/IJNS.200408
Vol. 20 Issue. 4 PP. 106-118, (2023)
In Statistical Quality Control (SQC), the judgement of the accepting the lot or rejecting the lot s carried out with the help of acceptance sampling plans in the inspection process of any manufacturing industry. Based on the predefined risk the output is attained with minimum inspection cost based on the optimum sample size. Generally Classical statistics is used based on the deterministic nature of the information and measurements. In some circumstances, the quality characteristics may not be certain enough leading to vagueness or impreciseness situation. Accordingly, in past few decades Fuzzy logic is one of the most popular techniques to model the uncertainty in the manufacturing industries. As an advent of technology and knowledge data era, an extension of Fuzzy, a new concept known as Neutrosophic Logic is in progress to apply to achieve these uncertainties. In this, such vagueness, imprecise is called as indeterminants. Thus, Neutrosophic Logic taken its role in Acceptance Sampling Plans with Probability distributions for various plan parameters such as AQL, LQL and Neutrosophic defection status are offered for Poisson distribution in the first time. The chief formulations of Acceptance Sampling plans for Single Sampling were derived based on Neutrosophic Statistics. As an advanced step the mixture of Acceptance Sampling plans with the shifting ruling for swapping from one plan to another plan are named as Sampling System and one such system is Quick Switching System the most widely applicable to safeguard from bad quality which give high level protection as well as to reduce the cost of inspection and time. In this study, Quick Switching System (QSS) with Single Sampling Plan (SSP) as reference plan is constructed based on Neutrosophic sets on Poisson distribution as baseline distribution. The procedures, OC Curves and tables have been redesigned and presented with numerical example.
Read MoreDoi: https://doi.org/10.54216/IJNS.200409
Vol. 20 Issue. 4 PP. 119-127, (2023)
Indeed, one of the most well-known topics in the area of graph theory is the shortest path (SP) problem, which has practical applications in various areas of research, including transportation, communication via networks, life-saving services, fire department services, etc. The edges of the connected SP problems are typically characterized by various numbers in practical applications. In this research paper, we calculate the shortest path using an ant colony optimization (ACO) algorithm with single value triangular neutrosophic numbers as arc weights. The method is used to estimate the shortest path of a neutrosophic network. One numerical example is used to test the suggested method, and outcomes are provided.
Read MoreDoi: https://doi.org/10.54216/IJNS.200410
Vol. 20 Issue. 4 PP. 128-137, (2023)
This study aims to systematically review mobile applications and their impact on customer service in the tourism sector from 2017 to 2021. For this, the use of the DEMATEL method in its neutrosophic variant is proposed. The search strategy identified 257,399 articles from digital libraries such as Scopus, IEEE Xplore, ACM Digital Library, Springer Link, Google Scholar, Microsoft Academic, EBSCOhost, ProQuest, ScienceDirect, and ARDI. Likewise, only 70 articles based on exclusion criteria were considered using the PRISMA Flowchart. The results of the systematic review have focused on recent studies of mobile applications and their impact on customer service in tourism and also provide a mapping of the extracted studies, metrics, trends, and validation methods to compare relevance to their settings and situations. The applicability and importance of multiple decision-making methods for solving complex problems were demonstrated. In addition, the effectiveness of using neutrosophy to reach valid conclusions when faced with real-life problems was manifested.
Read MoreDoi: https://doi.org/10.54216/IJNS.200411
Vol. 20 Issue. 4 PP. 138-151, (2023)
Nowadays, Machine Learning techniques stand out, especially in the business sector, in predicting bankruptcies in small and medium-sized enterprises (SMEs). This reduces the probability of making bad investments when creating SMEs. Therefore, a systematic review of Machine Learning for predicting bankruptcies in SMEs was conducted to identify ideal articles. The search was conducted on Taylor & Francis Online, IEEE Xplore, ARDI, ScienceDirect, ACM Digital Library, Google Scholar, and ProQuest. As a result, information was collected from 84 definitive studies on determining bankruptcies in SMEs using Machine Learning. Therefore, this study aims to determine the state-of-the-art regarding determining bankruptcies in SMEs using Machine Learning. To obtain the results, the Saaty Neutrosophic AHP method was used to identify the most applied business sector and predict possible bankruptcy due to its broad nature of indeterminacy in that subset. The systematic review results have allowed for determining essential details regarding the state-of-the-art of determining bankruptcies in SMEs using Machine Learning.
Read MoreDoi: https://doi.org/10.54216/IJNS.200412
Vol. 20 Issue. 4 PP. 152-163, (2023)
Ever since the transition to online learning, students from across the globe have familiarized themselves with the use of e-learning. This research paper aims to investigate students’ attitudes towards e-learning and measure students’ level of experience in using the e – system among students in the College of Engineering in the United Arab Emirates (UAE). Furthermore, this paper explores the predictors of students’ perceived satisfaction with the e-learning system quality that is integrated to facilitate e-learning. Descriptive analysis and stepwise multiple regression were chosen to achieve the paper’s objectives. Data analysis demonstrated that Engineering students showed a positive attitude towards the e-learning system and were identified with high self-efficacy and a high level of experience in using the e-learning system. In addition, multimedia instructions, self–efficacy, and e-learning system quality were found as significant predictors of students’ satisfaction with the e-learning system; however, the interactive learning activities as a predictor of perceived satisfaction did not reveal any statistical significance. Also, this paper used the DEMATEL method to analysis the student attributes and compute the weights of the attributes. The DEMATEL method is a MCDM method due to the attribute of student are neuromas so the concept of the MCDM is used. The DEMATEL method integrated with the neutrosophic sets. The neutrosophic sets is used to overcome the uncertainty and the vague data.
Read MoreDoi: https://doi.org/10.54216/IJNS.200413
Vol. 20 Issue. 4 PP. 164-180, (2023)
This paper provides an in-depth analysis of how Chat GPT and social media can be used as tools for capturing real-time student feedback on teaching styles in higher education. The study employs neutrosophic sets to deal with the uncertainties and ambiguities that arise in student evaluation data. Traditional methods of evaluating teaching styles in higher education, such as paper-based surveys, may not fully capture the nuanced experiences of students in the classroom. Recent advancements in chatbots, such as ChatGPT, and the growing use of social media platforms offer new opportunities for more efficient and effective methods of evaluating teaching styles. However, there are significant challenges in using these technologies, including the handling of indeterminate and uncertain data. Neutrosophic sets provide a mathematical framework for handling ambiguity and uncertainty in data and can be used to better capture the complex and multifaceted aspects of student experiences in the classroom. Additionally, the use of chatbots and social media platforms raises practical and ethical concerns that must be addressed in the evaluation process. This study aims to explore the role of ChatGPT and social media in enhancing student evaluation of teaching styles in higher education using neutrosophic sets, while also addressing the practical and ethical challenges that arise from their use.
Read MoreDoi: https://doi.org/10.54216/IJNS.200414
Vol. 20 Issue. 4 PP. 181-191, (2023)
In this paper, first we shall define Pseudo Similarity for Neutrosophic Fuzzy Matrices and prove that Pseudo Similarity relation on pair of Neutrosophic Fuzzy Matrices. Also, we derive some relation between Pseudo Similarity and Idempotent matrices. Finally, we give in varies inverse of Neutrosophic Fuzzy Matrices.
Read MoreDoi: https://doi.org/10.54216/IJNS.200415
Vol. 20 Issue. 4 PP. 191-196, (2023)
FinTech marketing education poses unique challenges that require new research directions. The constantly-evolving nature of the industry, coupled with the need to keep pace with technological advancements, demands an innovative approach to curriculum design and evaluation. Traditional education methods may not be sufficient to prepare students for careers in FinTech marketing, emphasizing the need for a multi-dimensional evaluation framework that considers business requirements, market trends, and customer needs. A Neutrosophic-Operational and Multi-Decision Analysis approach can provide a new direction for research, enabling educators to meet the evolving needs of the industry and better prepare students for successful careers in FinTech marketing. Throughout this article, we demonstrate a hybrid application of the Neutrosophic-AHP and the Multi-Criteria Decision Analysis technique for determining and assessing the most important characteristics of e-learning systems in the field of sustainability science education. Sustainability, scientific education, e-learning, and technological criterion are some of the most important to consider in order to reach this stated objective. The participative neutrosophic AHP method examined sixteen sub-criteria in terms of the value and calculation of coefficients within the framework of impact and evaluation. The most crucial factors for the ultimate choice issue are gathered. Therefore, techniques such as neutrosophic-operational and multi-decision analysis, as well as expert surveys, may be used to identify the most important criteria for e-learning in the field of sustainability science, which can then be employed to develop adaptable and relevant decision features.
Read MoreDoi: https://doi.org/10.54216/IJNS.200416
Vol. 20 Issue. 4 PP. 197-209, (2023)
A neutrosophic set is a mathematical approach that helps with challenges involving data that is indeterminate, imprecise, or inconsistent. The goal of this manuscript is to present the notion of neutrosophic g*-closed sets and neutrosophic g*-open sets. In this situation, we prove various neutrosophic generalized theorems. The findings support previous methodologies in the literature and are backed up by various examples and an application.
Read MoreDoi: https://doi.org/10.54216/IJNS.200417
Vol. 20 Issue. 4 PP. 210-222, (2023)
Neutrosophic set theory is applied to lattice implication algebra, and the concept of neutrosophic filters and neutrosophic lattice filters in lattice implication algebra are introduced. Several properties are investigated. Characterizations of a neutrosophic filter are discussed. Finally, we proved that every neutrosophic filter is a neutrosophic lattice filter, but the converse is invalid.
Read MoreDoi: https://doi.org/10.54216/IJNS.200418
Vol. 20 Issue. 4 PP. 223-234, (2023)
The purpose of this paper is to introduce the concept of various Pentapartitioned neutrosophic generalized closed sets such as PNg-closed set, PNω-closed set, PNgb-closed set in Pentapartitioned Neutrosophic Topological spaces. We also study some of their properties with counter examples.
Read MoreDoi: https://doi.org/10.54216/IJNS.200419
Vol. 20 Issue. 4 PP. 235-240, (2023)
We introduce BMBJ-neutrosophic sets and subalgebras as a generalisation of neutrosophic sets, and examine their application and related features to KU-algebras in this paper. We give various BMBJ-neutrosophic subalgebra characterizations, and we suggest a new BMBJ-neutrosophic subalgebra by utilizing a BMBJneutrosophic subalgebra of aKU-algebra. We look at the homomorphic inverse image of BMBJ-neutrosophic subalgebra and BMBJ-neutrosophic subalgebra translation.
Read MoreDoi: https://doi.org/10.54216/IJNS.200420
Vol. 20 Issue. 4 PP. 223-231, (2023)
The electrical reaction of bioactive sites in the individual’s body can be used to diagnose various disorders. Forecasts are made by examining the electric signal of the biologically active points onto patients. Measurements of the organ’s present level and variations in the passive electrical characteristics at specific bioactive sites on the body were made to evaluate the influence on the organ. The study aims to create a Neutrosophic fuzzy neural network (NFNN) approach to forecast the probability of complications following surgery. The research investigates a neural network method for predicting hazards associated with post-surgical care. Examining the current-voltage features of the biologically active spots forms the basis for the characteristics of the risk classifiers. By looking at patients who had been given a diagnosis of a disease, the training, as well as verification samples, as well as verification samples were created. Patients with type 1 had successful operations, but type 2 patients experienced a variety of post-operative problems, and type 3 patients needed extra treatment. The created classifiers show an excellent ability to foresee severe circumstances during surgical therapy. The neutrosophic fuzzy neural network model may be more sophisticated and advanced compared to conventional fuzzy neural network models. It can help differentiate the proposed model from existing models and highlight its unique features and advantages. The results show that the proposed
Read MoreDoi: https://doi.org/10.54216/IJNS.200421
Vol. 20 Issue. 4 PP. 232-239, (2023)
One of the primary sources of renewable energy in the coming years is thought to be solar energy. Solar energy and other renewable energy sources do, moreover, have a disadvantage in that it is hard to forecast when they will be available. The best use of solar energy is impacted by this issue, particularly when it is combined with other sources. As a result, the organization and economy of solar energy depend on accurate solar energy forecasting techniques. Predicting solar energy shortly is the study’s major goal. This paper describes the study of Neutrosophic fuzzy logic with artificial neural networks (NFL-ANN) to anticipate solar photovoltaic (PV) plant output power with the use of specified input factors known as meteorological information, such as sunshine length, humidity levels, temperature, air pressure, and others, artificial neural networks are used to forecast the outcome. NFL represents a generalised logic, which can manage stochasticity learning mistakes and unpredictability that fuzzy logic lacks. It offers the results of the calculation section. Excellent performance computer processors and NFL provide reasonable accuracy estimates of solar plant outputs as well as system reliability to consider environmental factors. The investigation was carried out with the use of MATLAB programming. With the assistance of statistical markers like mean absolute percentage error (MAPE), mean absolute error (MAE), root means square error (RMSE), and determinant coefficient, the suggested NFL-ANN approach is evaluated and compared to other approaches that are already in use. In comparison to existing techniques, the suggested NFL-ANN provides superior accuracy and lesser prediction error, according to the study’s findings. This research will be enhanced to forecast power without any loss.
Read MoreDoi: https://doi.org/10.54216/IJNS.200422
Vol. 20 Issue. 4 PP. 240-259, (2023)