Digital Commons Network^™

Enhancing Judicial Impartiality In Ecuador: A Fuzzy Cognitive Map Approach Using Neutrosophic Logic And Fuzzification, Robert Alcides Falconi Herrera

Neutrosophic Sets and Systems

Fuzzy Cognitive Map (FCM) approach, with neutrosophic logic and fuzzification applied to assign weights to the relationships between key concepts. Through expert consensus, eight critical factors were identified: Judicial Independence, Transparency, Corruption, Judicial Training, Accountability, Access to Justice, Procedural Guarantees, and Supervision and Control. Centrality analysis revealed that Judicial Independence and Transparency are the most influential, while Judicial Training has the lowest impact. The use of neutrosophic logic and fuzzification allowed for a flexible and accurate representation of causal relationships, accounting for uncertainty within the system. The findings highlight the need for reforms focused on enhancing judicial independence and transparency, …

Determining The Relationship Between Interculturality And Bilingualism In Bilingual Teaching In Peru Based On Plithogenic Statistics, Rafael Pinedo Coral, Aniceto Elías Aguilar Polo, Juan Ernesto Ríos Ángeles, Edgar Ricardo Yauri Rivera, Janett Karina Vásquez Pérez, Liliana Huaranga Rivera, Roberth Lozano Tacuri Toribio, Miriam Esther Campos Llana

Neutrosophic Sets and Systems

The development of this research was propitiated as its main goal to determine the level of relationship that exists between interculturality and bilingualism in bilingual teachers of regular basic education in the rural area of Callería, Ucayali, Peru, during 2023. The study was developed through simple random sampling, in the population that is made up of 581 bilingual teachers. The sample comprises 174 of these teachers, to whom two questionnaires were applied as data collection instruments prepared from the survey technique; thus concluding that there is a direct and significant relationship between interculturality and bilingualism. We determined that the use …

Partnership Of Lean Six Sigma And Digital Twin Under Type 2 Neutrosophic Mystery Toward Virtual Manufacturing Environment: Real Scenario Application, Mona Mohamed, Ahmed A. Metwaly, Mahmoud Ibrahim, Florentin Smarandache, Michael Voskoglou

Sustainable Machine Intelligence Journal

The correlation between Lean Six Sigma performance strategy (LSS) and contemporary innovations, including Digital Twin (DT) technology (DLSS) has been scrutinized in this study. The merger's mission is to overcome some of the organizational tensions. Environmentally speaking, it's critical to cut waste and save resources. On a social level, demonstrated boosts to labor and machine efficiency through scrutinizing analysis, simulation, and virtual-physical replication. Economically speaking, improved quality, lower prices and lead times, continuous improvement, and performance enhancement techniques are all part of the worldwide manufacturing scene. Actually, harnessing the suitable DT application amongst available applications is a noteworthy procedure. Hence, …

Nidus Idearum. Scilogs, Xiv: Superhyperalgebra, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this fourteenth book of scilogs – one may find topics on examples where neutrosophics works and others don’t, law of included infinitely-many-middles, decision making in games and real life through neutrosophic lens, sociology by neutrosophic methods, Smarandache multispace, algebraic structures using natural class of intervals, continuous linguistic set, cyclic neutrosophic graph, graph of neutrosophic triplet group , how to convert the crisp data to neutrosophic data, n-refined neutrosophic set ranking, adjoint of a square neutrosophic matrix, neutrosophic optimization, de-neutrosophication, the n-ary soft set relationship, hypersoft set, extending the hypergroupoid to the superhypergroupoid, alternative ranking, Dezert-Smarandache Theory (DSmT), reconciliation between …

Ranking Cloud Service Providers Using Swara-Marcos In Type-2 Neutrosophic Number Set Environment, Mai Mohamed, Shaimaa Ayman, Rui Yong, Jun Ye

Neutrosophic Systems with Applications

Cloud computing is a model for allowing suitable, on-demand network access to a shared store of resources such as servers, networks, storage, apps, and services, modified according to specific needs or requirements. The main goal of cloud technology development is to increase the use of resources that work together to achieve reliability at the lowest cost. Cloud service providers (CSPs) have gained popularity in recent years due to their accessibility and availability, as well as the growing quantity of cloud service providers (CSPs) that appear. Choosing (CSPs) has grown to be a challenging decision for many companies. The paper aims …

On The Special Gamma Function Over The Complex Two-Fold Algebras, Nabil Khuder Salman

Neutrosophic Sets and Systems

The concept of special functions plays an important role in mathematical analysis and physics as well. In this paper, we study some different types of the special Gamma function defined on the two-fold fuzzy complex field, where we combine the classical Gamma function with the two-fold fuzzy algebra defined on complex numbers. On the other hand, many elementary properties of this new special function will be determined in terms of theorems and proofs.

An Integrated Codas Method And Novel Surface-Based Weighted Distance Measures Under Neutrosophic Environment, Madineh Farnam, Gholam Hassan Shirdel, Majid Darehmiraki

Neutrosophic Sets and Systems

Information theory provides suitable tools for solving practical problems, particularly multi-criteria decision-making (MCDM) problems under neutrosophic environments. Generally, a wide range of MCDM solution methods are constructed based on distance measures category. The defined distance measures for continuous neutrosophic numbers, especially its trapezoidal type, is very limited rather than discrete type. The main goals of this study is to come up with a way to add two new types of weighted distance measures based on meaningful surfaces: Euclidean and Hamming. To define these measures, all three components of the neutrosophic trapezoidal fuzzy number (truth, indeterminacy, and falsity membership functions) have …

A Hybrid Approach To Micro Vague Topological Space Via Neutrosophic Topological Space, Vargees Vahini T, Trinita Pricilla

Neutrosophic Sets and Systems

Plenty of topologists are exploring and discovering multiple forms of topological spaces. The chief objective of the current enquiry is to establish and evaluate an original hybrid topological space named Neutro sophic Micro Vague Topological Space. When contrasted with distinctive fuzzy sets, Neutrosophic Micro Vague sets give more adaptive framework for dealing with uncertainties and obscurity because they allow more nuanced portrayal of the multitude of the elements of inconsistencies. Some of the basic definitions and operations on Neutrosophic Micro Vague Sets are defined and examined with numerical examples. Furthermore,some of the basic algebraic properties of Neutrosophic Micro Vague Sets …

Neutrosophic Ranked Set Sampling Scheme For Estimating Population Mean: An Application To Demographic Data, Rajesh Singh, Anamika Kumari

Neutrosophic Sets and Systems

The primary goal of this study is to address the limitations of classical statistics in handling am biguous or indeterminate data. The best alternative to classical and fuzzy statistics for handling such data uncertainty is neutrosophic statistics, which is a generalization of both. A generalization of classical statistics, neutrosophic statistics addresses hazy, ambiguous, and unclear information. To achieve this, this manuscript recommends the neutrosophic ranked set sampling approach. We have introduced neutrosophic estimators for estimating the mean of the finite population using auxiliary information under neutrosophic ranked set sampling to address the challenges of estimation of the population mean of …

Neutrosophic Sets And Systems, Vol. 68,2024, Florentin Smarandache, Mohamed Abdel-Basset, Said Broumi

Neutrosophic Sets and Systems

the whole volume

The Limits Of 2- Refined Neutrosophic, Yaser Ahmad Alhasan, Mohamed Elghazali Ali Mohieldin Mohamed, Raja Abdullah Abdulfatah

Neutrosophic Sets and Systems

this paper aims to present the limits of 2- refined neutrosophic, where we studied the of the neutrosophic factorization method and the neutrosophic rationalization method of the limits of 2- refined neutrosophic, we verified the results of these methods using the L'Hôpital's rule. Also We introduced some special limits and 2- refined neutrosophic trigonometric limits. In addition to clarifying this by solving appropriate numerical examples

Neutrosophy Means: Common Parts To Uncommon Things And Uncommon Parts To Common Things, Florentin Smarandache

Neutrosophic Sets and Systems

Let be an item, concept, idea, proposition, school of thought, current, theory, etc. and be the opposite of . Analogously for and its opposite . Neutrosophy means to find: (i) (ii) common parts to uncommon things (that is, and have something in common, or their intersection ∩ is not empty), and vice versa: (ii) uncommon parts to common things (the two equal items = have also uncommon parts, either ∩ is not empty, or ∩ is not empty). Both, the Common Parts to Uncommon Things, and the Uncommon Parts to Common Things, end up being parts of indeterminacy / neutrality …

On The Two-Fold Fuzzy N-Refined Neutrosophic Rings For 2≤N≤3, Abdallah Shihadeh, Khaled Ahmad Mohammad Matarneh, Raed Hatamleh, Mowafaq Omar Al-Qadri, Abdallah Al-Husban

Neutrosophic Sets and Systems

The objective of this paper is to study the two-fold fuzzy algebra based on n-refined neutrosophic rings for some different special values of n, where we study some of the special elements in the case of two-fold 2-refined neutrosophic ring and 3-refined neutrosophic rings such as units, idempotents, and nilpotent elements. Also, we present the concept of two-fold ring homomorphism with its elementary properties.

Combined Topsis Technique For Magdm Based On The Distance Measures And Critic Under Single-Valued Neutrosophic Sets And Applications To Quality Evaluation Of Whole Process Engineering Consulting Service Modes, Xia Wang, Yingxia Hou, Jing Peng, Jiekun Hu, Yue Li, Qiang Cai, Guiwu Wei

Neutrosophic Sets and Systems

According to survey data released by the National Bureau of Statistics, from 2011 to 2022, the total output value of China's construction industry showed an increasing trend year by year. From 2018 to 2021, infrastructure investment has always maintained a positive growth, indicating that the current construction industry is in a rapid development stage. In order to improve the development quality of the construction industry as much as possible, it is of great significance to develop the whole Process engineering consulting service model. The quality evaluation of whole process engineering consulting service modes is MAGDM. The single-valued neutrosophic sets (SVNSs) …

Fusing Type -2 Neutrosophic In Decision-Making Methodology For Appreciation Blockchain Capabilities In Securing Environment Of Vehicles Fog: Practice Realistic Scenarios, Alaa Salem, Mona Mohamed

Neutrosophic Sets and Systems

Right now, Contemporary technologies have become imperative in many domains to achieve societal safety. As is practiced in transportation systems through merging information and communication technologies (ICTs) in transportation to be an intelligent sector. As well Internet of Vehicles (IoVs) for facilitating communication between vehicles for safe driving. Similarly, fog computing in Vehicular Ad Hoc Networking (VANET) contributes significantly to addressing timing and latency issues by enabling cloud services for nearby vehicles. Nonetheless, there are hazards of cyber-attacks on vehicles in VFN, which makes it uneasy to disclose personal information to unidentified fog devices. Consequently, an online criminal might target …

Pentapartitioned Neutrosophic Subtraction Algebra, Rakhal Das, Suman Das

Neutrosophic Sets and Systems

This paper aims to define the concepts of Semi-group and Pentapartitioned Neutrosophic Subtraction Algebra. We also examine a few of their fundamental characteristics. Additionally, we provide a few appropriate instances on Pentapartitioned Neutrosophic Subtraction Algebra.

On Nct- Set Theory, Dheargham Ali Abdulsada, L. A. A. Al-Swidi, Mustafa H. Hadi

Neutrosophic Sets and Systems

We introduce a new class of neutrosophic crisp set, and then it presented some operations via this sets like, ������ −intersection, ������ −union and algebraic ������−difference to arrive at the algebraic ring construction. Also, we introduce the ������ − points, which showed that a ������ –set is ������−union of its ������−points, and so did we introduced the concept of the function on this sets, called ������ – function and some of their important properties. Finally, we introduced the concept of the topology and some of the concepts entrusted to it, as an introduction to those spaces that can be studied …

Assessment Of Deep Learning Techniques For Bone Fracture Detection Under Neutrosophic Domain, Doaa El-Shahat, Ahmed Tolba

Neutrosophic Sets and Systems

With the increasing strain on the health system, there is a growing need for automatic medical image diagnosis. Emerging technologies for medical diagnosis can help to achieve the goals of sustainable development. However, analyzing medical images can be challenging due to uncertain data, ambiguity, and impreciseness. To address this issue, we have developed a novel BoneNet-NS technique to classify fractures in X-ray bone images. The proposed approach is based on the power of deep learning (DL) and neutrosophic set (NS) to deal with aleatoric uncertainty. Moreover, we present two frameworks for integrating NS with DL models: BoneNet-NS1 and BoneNet-NS2. We …

Neutrosophic Spherical Sets In Mcdm, S. Bhuvaneshwari, C. Antony Crispin Sweety

Neutrosophic Sets and Systems

Decision-making plays a crucial role in achieving success across various scenarios, especially when confronted with complex issues inundated with abundant facts and information. Employing multi criteria decision-making (MCDM) methods and techniques becomes particularly indispensable in tackling such formidable challenges. This study introduces novel neutrosophic SWGM and SWAM accuracy functions, which enhance traditional aggregation operators. Furthermore, it introduces the CODAS technique tailored for addressing Multiple Attribute Group Decision Making problems utilizing the newly defined operators. To exemplify the proposed methodology, a supplier selection problem is examined.

The Indefinite Refined Neutrosophic Integrals By Parts, Yaser Ahmad Alhasan, Ahmad Abdullah Almekhlef, Mohamed Elghazali Ali Mohieldin Mohamed, Raja Abdullah Abdulfatah

Neutrosophic Sets and Systems

this article's goal is to present the indefinite refined neutrosophic integrals by parts. All situations where integration by parts can be used are covered, including the use of rotating integrals to solve recurring and non-terminating functions like the product of trigonometric and exponential functions. Furthermore, the Tabular method has been implemented in the computation of the indefinite refined neutrosophic integrals

A Robust Framework For Medical Diagnostics Based On Interval-Valued Q-Neutrosophic Soft Sets With Aggregation Operators, Enad Ghazi, Sinan O. Al-Salihi

Neutrosophic Sets and Systems

The best way to deal with complicated life scenarios that accompany the decision-making process is to update previous concepts constantly. Therefore, researchers must constantly discover powerful mathematical tools that suit the accompanying circumstances. In this regard, we combine both soft set, neutrosophic set, and interval setting under Q-two-dimensional universal information to introduce a new hybrid innovative model called interval valued-Q-neutrosophic soft sets. The core goal of this model is to keep the features of previous models like soft sets, neutrosophic sets, and Q-Fuzzy sets in dealing with the lack of uncertainty and neutrality associated with real-life issues. This new approach …

Evaluation Of The Shortest Path Based On The Traveling Salesman Problem With A Genetic Algorithm In A Neutrosophic Environment, Prasanta Kumar Raut, Siva Prasad Behera, Said Broumi, Arindam Dey, Mohamed Talea, Amarendra Baral

Neutrosophic Sets and Systems

In The traveling salesman problem (TSP) is an essential and the most popular conventional combinatorial optimization network problem in operations research, in which the TSP evaluates the shortest route or path in a network. In TSP, every node has been visited only once, excluding the starting node. In TSP, edge lengths are usually expressed to indicate journey time and expenses instead of distance from a location. The exact arc length can't be predicted because journey times and expenses vary depending on the amount of payload, climate, highway conditions, and so on. As a result, the Neutrosophic numbers introduce a new …

Treesoft Approach For Refining Air Pollution Analysis: A Case Study, M. Myvizhi, Ahmed A. Metwaly, Ahmed M. Ali

Neutrosophic Sets and Systems

The ongoing research employs both the neutrosophic set and the Decision Making and Evaluation Method (DEMATEL) to analyze and determine the factors influencing supplier selection within the realm of Supply Chain Management (SCM). Recognized as a proactive strategy for enhancing performance and securing competitive advantages, DEMATEL guides this investigation. The study utilizes neutrosophic set Theory to refine overall assessments, introducing a novel scale to distinctly represent each value. Through a practical case study focusing on selecting the optimal supplier for a distribution company, the proposed methodology's application is illustrated. The research framework integrates a neutrosophic DEMATEL approach for data collection, …

On Generalized Difference Rough Ideal Statistical Convergence In Neutrosophic Normed Spaces, Manpreet Kaur, Meenakshi Chawla

Neutrosophic Sets and Systems

This article’s main goal is to provide and investigate a novel statistical convergence generalisation for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical con vergence. The collection of approximate optimal statistical limit points and cluster points is defined, and their algebraic and topological features are examined. Additionally, we included the relationship for generalized dif ference sequences in NNS between rough I-statistical cluster points and rough I-statistical limit points.

A Survey On Neutrosophic Principles For Inventory Management Problem, Ankit Dubey, Arindam Dey, Said Broumi, Ranjan Kumar

Neutrosophic Sets and Systems

This paper presents a thorough assessment and classi cation of di erent uncertain environments used by researchers to analyze inventory management(IM) systems across various sectors, such as ABC anal ysis, Last In, First Out (LIFO), and batch tracking. Moreover, it introduces the concepts of the neutrosophic principle and fuzzy principle in inventory management. it also investigates the di culties associated with the traditional inventory model. The primary focus of the study lies in inventory management under the Neu trosophic principle, speci cally addressing uncertain demand and imprecise data. By shedding light on the potential of neutrosophic principle, this manuscript contributes …

On Rough Statistical Convergence In Neutrosophic Normed Spaces, Reena Antal, Meenakshi Chawla, Vijay Kumar

Neutrosophic Sets and Systems

In this paper, we have presented rough statistical convergence of sequence on neutrosophic normed spaces as an important convergence criterion. As neutrosophication can handle partially dependent compo nents, partially independent components and even independent components involved in real-world problems. By examining some properties related to rough convergence in these spaces we provide some useful functional tools in the situations of inconsistency and indeterminacy in the real world. Further, we have established some equivalent conditions on the set of statistical limit points as well as on the set of cluster points in these spaces for rough statistically convergent sequences.

Rough Fermatean Neutrosophic Sets And Its Applications In Medical Diagnosis, P. Dhanalakshmi

Neutrosophic Systems with Applications

This paper introduces the concept of rough fermatean neutrosophic sets and investigates their properties. Additionally, a cosine similarity measure between these sets is proposed. By applying this measure to a medical diagnosis example, the paper illustrates how the method can be used in practical situations, highlighting its effectiveness in complex decision-making scenarios. This innovation holds promise for improving decision-making processes, especially in critical areas like medical diagnosis, where making accurate assessments amidst uncertainty is crucial.

Application Of Secant Span In Medical Diagnosis, R. Narmadhagnanam, A. Edward Samuel

Neutrosophic Systems with Applications

Many common and specific characteristics engrave most diseases. Water-borne diseases differ slightly in their characteristics. Erroneous diagnoses can be attributed to shared characteristics. Current approaches tend to rely on imprecise diagnoses and lack robust techniques for differentiating between characteristics. Every illness also presents with specific symptoms. To assist doctors in approaching a likely diagnosis, the suggested method is successful in determining the connection between a class of sickness and the people with a specific pathology to the indications. Among n-valued interval neutrosophic sets, a secant span is proposed in this paper and a few of its attributes are talked about …

Cybersecurity Enhancement Through Hybrid Encryption: Combining Rsa And Vigenère Algorithms In The Cypher-X System, Abir Alsideiri, Saif Alshamsi, Hajar Albreiki, Manal Almoqbali, Mithaa Almaamari, Shaima Alsaadi

Baghdad Science Journal

In the contemporary digital landscape, the imperative issue of data security continues to be a prominent concern. Numerous encryption systems have faced challenges stemming from their intricate nature and susceptibility to cyber threats. This study introduces Cypher-X, an advanced encryption and decryption system that adeptly integrates classical algorithms, namely RSA and Vigenère, to fortify data confidentiality. This research endeavors to address prevailing concerns by focusing on three primary objectives: augmenting data security measures, evaluating system efficiency, and identifying vulnerabilities exploited by cyber adversaries. The outcomes of our investigation affirm the robust encryption capabilities of Cypher-X, underscoring its potential for further …

Nidus Idearum. Scilogs, Xiii: Structure / Neutrostructure / Antistructure, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this thirteenth book of scilogs – one may find topics on Neutrosophy, Plithogeny, Physics, Mathematics, Philosophy – email messages to research colleagues, or replies, notes, comments, remarks about authors, articles, or books, spontaneous ideas, and so on. It presents new types of soft sets and new types of topologies.

Exchanging ideas with Mohammad Abobala, Ishfaq Ahmad, Ibrahim M. Almanjahie, Fatimah Alshahrani, Nizar Altounji, Muhammad Aslam, Said Broumi, Victor Christianto, R. Diksh, Feng Liu, Frank Julian Gelli, Erick Gonzalez Caballero, Riad Hamido, Yaser Al-Hasan, Ahmed Hatip, Yasin Karmouta, Nivetha Martin, Preda Mihăilescu, V. Lakshmana Gomathi Nayagam, Ze Carlos Tiago de …