Digital Commons Network^™

20 Years Of Neutrosophic Statistics: A Bibliometric Analysis, Hammad Khalid, Arshad Hameed

Neutrosophic Systems with Applications

Florentin Smarandache introduced neutrosophic statistics (NS), a formalism for representing uncertainty and indeterminacy in observations, parameters and statistics in an extension to classical and interval statistics. Although widespread in various contexts, such as statistical quality control, hypothesis testing, medical diagnosis, and decision science, and increasingly used and developed, the scientific evolution and conceptual framework of the science of decision making remain largely unexamined. To fill this gap, the present study has been conducted with a comprehensive bibliometric analysis of NS research articles published between 2003 to 2025 from Scopus which has been conducted following the SPAR-4-SLR protocol. In all, 501 …

Artificial Intelligence For Smes In The Dominican Republic: A Strategic Neutrosophic Pest-Swot Analysis To Navigate Uncertainty, Karina Pérez Teruel

Neutrosophic Sets and Systems

This study examines the adoption of Artificial Intelligence (AI) in Dominican Republic SMEs through a PESTLE-neutrosophic analysis. PESTLE stands for Political, Economic, Social, Technological, Legal and Environmental factors. Neutrosophic is the Philosophy of Indeterminacy. Therefore, we focus on the factors relative to AI adoption in the Dominican Republic—specifiers to the benefits and drawbacks, as well as, the unknowns of operating with AI—with the intention of illuminating attention. The findings support a phased approach for SMEs to view indeterminacy as an opportunity for competitive advantage through improved operational efficiencies, enhanced customer experience, and more informed decision-making. Ultimately, the results position AI …

Multicriteria Prioritization Of Geospatial Data Sources Using The Neutrosophic Hierarchical Analytic Process In Spatial Ontologies, Manuel Enrique Puebla Martínez

Neutrosophic Sets and Systems

The need for an automatic fusion of heterogeneous, generally untrustworthy geospatial sources into spatial ontologies necessitates prioritization when conflicts arise or lower qualities emerge. Unfortunately, most existing literature does not offer systematic, evaluative, analytical criteria for determining the trustworthiness and polyhedral quality of such sources, which, in turn, causes quality deficiencies in spatial relations of the final product. Here we offer a methodology based on the Neutrosophic Hierarchical Analytic Process to derive the aforementioned prioritization including considerations such as geometric accuracy, existence and accessibility of metadata, frequency of updates, and topological correctness. A calibrated, reliability-testing approach was applied to two …

A Visual Aid-Based Model For Constructing The Concept Of Probability For Students Aged 9 To 11, Validated Using Neutrosophic Plithogenic Statistics, Nela Del Rocío Sánchez López, Diana Carolina Pérez Duarte, Luis Fernando Pérez Duarte

Neutrosophic Sets and Systems

This article discusses a research endeavor whose intent was to further develop statistical reasoning by formulating probability notions for 9-11-year-old learners. The probability endeavor is formulated through a union of narrative, problem-solving and visual approaches. Action research allowed for formulation and implementation within a school setting, satisfactorily proving success in developing learners' abilities to think logically and critically. Results indicate a statistically significant probability of appropriating the notion of probability based on neutrosophic plithogenic statistics which assessed the degree of truth, indeterminacy, and falsity of student answers which ultimately promote rational decisions in uncertain situations. It's recommended that the union …

Classification Of Cases Of Animal Abuse In Ecuador Using Indetermsoft And C4.5 Algorithms, Viviana Del Rocío Marfetan Marfetan, Lesly Gissela Tipanguano Chicaiza, Styven Andrés Pila Chicaiza, Estephany Monserrath Ojeda Sanchez

Neutrosophic Sets and Systems

This dissertation aimed to determine the classification of animal abuse within Ecuador by severity, context, and solution through the application of IndetermSoft and the statistical-neutrosophic C4.5 algorithm to classify the uncertainty associated with judicial and administrative efforts for animal protection for domestic dogs and cats. The approach was qualitative and documentary, analyzing judicial sentences, citizen complaints, and municipal ordinances within the three largest Ecuadorian cities of Quito, Guayaquil, and Cuenca to acquire the determination of classifications of animal abuse, subsequent sanctions, and follow-ups. A modeling of IndetermSoft ensembles assessed the indeterminacy of subsequent actions, and inputted into IndetermSoft and the …

Modeling The Rehabilitation Of Offenders In Domestic Violence Using A Hybrid Neutrosophic-Logistic Approach To Reduce Recidivism, Johanna Estefanía Calle Imbaquingo, Karen Milagros Díaz Salambay, Jordy Alexis Vargas Yumbo, Kevin Christopher Carrasco Azogue, Otto F. Von Feigenblatt

Neutrosophic Sets and Systems

This dissertation seeks to determine if criminal suspension—per Article 651.3 of National Criminal Code (COIP)—for domestic violence offenders in Ecuador actually reduces recidivism through effective rehabilitation. This study is significant for comprehension of offender mentality and subsequent ability to accept criminal punishment to reduce recidivism for prolonged victim safety and better acts of authority in a country where domestic violence is still a major social concern. While the existing literature has studied aspects of restorative justice, very few articles have explored the predicating factors of recidivism and the lack of judicial observation and databases due to a neoteric nature and …

Technarrative Model (Ntm) For The Symbolic-Emotional Evaluation Of Architectural Space: A Neutrosophic Multiperspectivism Approach, Jesús Rafael Hechavarría-Hernández, Ana María Padrón-Medina, Erika Ascencio Jordán

Neutrosophic Sets and Systems

This research answers the need to evaluate an architectural space from a non-technical standpoint relative to its symbolism/emotion charge that is not taken into account by the design/planning of such public spaces. This research problem is sociologically relevant as today; architecture does not only dictate the layout of the physical world but also the group existence, sensitivity to experiences and modes of social appropriation. Yet the state-of- the-art literature provides purely professional and empirical avenues of investigation driven by economic/aesthetic value with no pathway for understanding appreciation of ambiguity and the multiple perspectives at play. Thus, a Neutrosophic Technarrative Model …

Scholarai Scholarly Article Search Strategies With The Ayni Method Multi-Neutrosophic For Ethical Information Management In Ai, Ennio Jesús Mérida Córdova, Elizabeth Esther Vergel Parejo, Raúl López Fernández

Neutrosophic Sets and Systems

In a digital world where scientific articles are published at an unprecedented rate, an additional step in the research process to facilitate discovery is an effective search and filtering for worthwhile articles. Thus, this study aims to solve the following research problem: how to search for scientific articles using artificial intelligence (AI) while applying ethical considerations and ancestral knowledge? The topical relevance is that as AI is a great vessel to seek potentially accessible knowledge, searches can be guaranteed through accuracy, inclusivity, and ethics. While many studies exist on the topic of AI related to searching, few, if any, extend …

Automated Ai Validation Of Neutrosophic Plithogenic Hypotheses In Multigrade Literacy Improvement, Isaac Roger Martínez, Débora Lucia Ponce Rivera, Maryuri Yvonne Guale Gómez, Rudy Garcia Cobas, Carlos Roberto Humanante Cabrera

Neutrosophic Sets and Systems

Literacy is acquired in multigrade classrooms in complicated scenarios because of varying literacy competencies and abilities and varied resources and materials. Thus, it's hard to determine if certain teaching interventions work. This is also a growing concern, a timely consideration, because as the institutions try to better the Quality of Education and prevent learning lags for multivariate classrooms are concerned. Yet the literature contains gaps where no direct attempt to stabilize teaching interventions is made despite the findings of many studies generating didactic interventions through the proceedings. Thus, this study fills the gap with an approach based upon hypothesis generation …

Neutrosophic Statistical Regression Models For Predicting The Incidence Of Nosocomial Infections In Post-Trauma Patients, Nairovys Gómez Martinez, Gerardo Ramos Serpa, Riber Fabian Donoso Noroña, Gloria Medina Naranjo

Neutrosophic Sets and Systems

The rationale for predicting nosocomial infections in post-trauma patients is based upon the ability to assess all relevant and subjectivity factors effectively for each individual. This research is currently relevant to public health because nosocomial infections are one of the most stubborn factors plaguing patients and health facilities alike. Therefore, it is timely and appropriate to be able to predict accurate and generalizable findings—yet the current literature does not utilize a predictive approach that considers the uncertainty and imprecision when clinicians encounter such clinical data. Therefore, this dissertation aims to fill that gap with a statistical-neutrosophic regression model which inherently …

Improving Quality In Service Processes Through The Strategic Implementation Of The Servqual Neutrosophic Statistical Model, Carlos Esteban Reyes Sanchez, Angel Vinicio Valencia Ramos, Paola Fernanda Castillo Castillo

Neutrosophic Sets and Systems

This is a relative service quality assessment with a process optimization quality of life approach comparison as quality is a competitive advantage in service based organizational efforts. This is a relative service quality assessment with a process optimization quality of life approach comparison new due to implementation. The problem is that quality is a competitive advantage for organizations in modern society with a focus on service based organizational efforts. When human populations experience service, there are always adaptive, and many times, need based expectations for successful service delivery; therefore, new implementation processes take developmental consideration. However, prior research does not …

Neutrosophic Performance Evaluation Of A Consulting Firm Using A Hybrid Topsis-Owa Model From The Perspective Of Consultants And Auditors, Vladimir Vega Falcón

Neutrosophic Sets and Systems

Yet performance evaluation of consulting firms faces uncertainty and subjectivity for the auditor's consultant perspective a concern for problematizing proper strategic choice. This condition is relevant since consulting firms are integral to any enterprise problem solving, and identifying where productivity exists only makes firms more competitive and enhances quality of service to their clients. Yet the literature does not provide any constructs to properly apply indeterminacy to human assessments as operations are based on crisp integers and binary true/false logic which does not adequately represent the holistic expertise of the professional. Therefore, this study proposes a hybrid neutrosophic TOPSIS-OWA assessment …

Euthanasia In Ecuador And Latin America: A Comparative Study Using Neutrosophic Logic And Multivariate Analysis, Manuel Richard Naranjo Rodríguez, Sandra Dayanara Correa Solis, Alexander Joshua Bajaña Jiménez

Neutrosophic Sets and Systems

This study aims to analyze the legal, social, and cultural factors that influence the legalization of euthanasia in Ecuador, using a comparative approach with other Latin American countries. The central problem lies in the lack of a comprehensive understanding of how variables such as the degree of secularism, access to palliative care, population religiosity, and ethical and professional perceptions relate to each other in the legislative debate on euthanasia. To this end, a database with 300 records was constructed, integrating quantitative, qualitative, and neutrosophic variables, which allow for the capture of both structural data and ambiguous assessments of morality and …

Nahp: Neutrosophic Hierarchical Analysis For Pest Prioritization In Plantain Cultivation, Marely Del Rosario Cruz Felipe, Víctor Noe Sánchez Carreno, Lorenzo Cevallos-Torres

Neutrosophic Sets and Systems

The following study addresses the impact of pests on plantain cultivation, recognizing them as a critical factor for both sustainability and productivity. Traditionally, decision-making in this context relies heavily on subjective and unstructured criteria, often leading to inaccurate prioritization of pest- and disease-related risks. This issue becomes even more pressing considering the growing global demand for plantains and the need to manage resources effectively, which calls for clear identification of intervention priorities. However, agricultural systems—characterized by ecological and social variability—often present incomplete, ambiguous, or contradictory information, making conventional multicriteria analysis insufficient. To address this challenge, this research introduces the Neutrosophic …

Country Risk Assessment For Foreign Investments Using Neutrosophic Pestel- Swot, Pablo San Andrés Reyes, Rafael Sorhegui-Ortega, Fidel Márquez-Sánchez, Andrés Renato Jácome Gagñay, Petr Sed'a

Neutrosophic Sets and Systems

Purpose of the study: To measure country risks for foreign direct investments by assessing a neutrosoph-ic PESTEL-SWOT. Design/methodology/approach: The PESTEL assessment includes political, econom-ic, social, technological, environmental, and legal components while SWOT composes strengths, weak-nesses, opportunities, and threats. In uncertain settings, a neutrosophic PESTEL-SWOT was generated. A survey of experts' data corresponding to qualitative and quantitative determinations was assessed through genuine mathematic techniques and an integrated PESTEL and neutrosophic SWOT to deter-mine risk probability within a Latin America focus. Findings: The induced PESTEL-SWOT model measures country risks with a 70% efficiency rate to forecast certain outcomes for foreign direct invest-ments …

Formulation Of Plithogenic Hypotheses To Evaluate The Viability Of The Right Of Recourse In Ecuador., Ambar Murillo Mena, Humberto Gosálbez-Pequeño, Fidel Márquez-Sánchez, Holger García-Segarra, Óscar José Alejo Machado

Neutrosophic Sets and Systems

The purpose of the research is to assess the viability of the right of recourse in Ecuador by creating neutrosophic plithogenic hypotheses with respect to uncertain results and conflicting trends in determining public officials' liability for their patrimony in order to publicly establish a reliable assessment of an objective relative to im-proving recourse of public assets for injuries caused by dolus and culpa gravis. The investigation is descriptive, founded upon neutrosophic plithogenic philosophy which allows for hypothesis generation with truths, falsities, and uncertainties. Through an analysis of national court cases which determine the viability of recourse for the years 2008-2018 …

A Neutrosophic And Q-Rung Orthopair Fuzzy Sets Approach For Desertification Susceptibility Mapping: A Case Study In Matrouh, Egypt, Nabil M. Abdelaziz, Khalid A. Eldrandaly, Amira M. Fawzy, Gehan A. Fouad, Safa Al-Saeed

Neutrosophic Systems with Applications

This study introduces an innovative approach to desertification susceptibility mapping by integrating q-rung orthopair fuzzy sets (Q-ROFS) with a neutrosophic environment. Conducted in Matrouh, Egypt, the research quantifies desertification risk through advanced modeling techniques that address uncertainty and non-linearity in environmental data. The Q-ROFS framework enhances risk prediction by capturing complex relationships among desertification indicators. Neutrosophic logic, meanwhile, effectively addresses imprecision and ambiguity. The resulting susceptibility map clearly distinguishes between vulnerable and non-vulnerable regions, offering valuable guidance for policymakers and planners. The analysis revealed that approximately 79.98% of the study area falls under moderate susceptibility, 14.27% under high susceptibility, and …

Assessment Of Academic Integrity In University Students Using A Hybrid Fuzzy-Neutrosophic Model Under Uncertainty, Lorenzo Cevallos-Torres, Roger Martínez, Rosangela Caicedo-Quiroz, Rosa Hernández-Magallanes, Douglas Iturburu-Salvador, Franklin Parrales-Bravo, Maikel Leyva-Vázquez

Neutrosophic Sets and Systems

This study presents a model based on a fuzzy-neutrosophic approach to evaluate the academic integrity of university students in the context of uncertainty. The central issue of the research lies in the abrupt transition from in-person education to virtual learning caused by the pandemic, which increased fraudulent behaviors in teaching and learning environments, making it difficult to determine the level of academic integrity among students in higher education institutions. To address this issue, variables related to dishonesty—motivation, justification, and opportunities—were analyzed. Three evaluation scenarios were conducted, yielding positive results. The proposed approach, based on fuzzy logic and neutrosophy, effectively measured …

Neutrosophic Statistical Analysis Of Cardiovascular Disease Prevention From A Physical Culture In Urban Communities, Dennys Raúl Dupotey Hernández, Darvin Manuel Ramíerez Guerra

Neutrosophic Sets and Systems

The research presented here considers the educational potential of physical activities for disease preven-tion. Its objective is to elaborate a physical-educational intervention strategy for the prevention of cardio-vascular diseases in urban communities in the department of Cundinamarca, Colombia. The research was carried out in the municipalities of Funza, Fusagasugá Albán, and Supatá in the department of Cundinamarca in Colombia, based on the theoretical foundations of prophylactic and therapeutic phys-ical culture and related sciences for disease prevention. Theoretical, empirical, and mathematical-statistical scientific methods were applied. In addition, neutrosophic techniques were used to validate the study. The results indicate an adequate level …

Applying Neutroalgebra And Neutrosophic Sentiment Analysis To Assess Last Mile Logistics Impact On Customer Experience, Rosa María Criollo Delgado, Julio Cesar Vidal Rischmoller, Sergio Marcelo Palomino Criollo

Neutrosophic Sets and Systems

The aim of the paper entitled Neutrosophic Sentiment Assessment Using Neutroalgebra Applied to Last Mile Impact on Customer Experience explains the assessment of how factors related to last mile logistics impact cus-tomer perception. While there are many articles and research studies related to last mile logistics, the body of such articles simply focuses on repeating ordinary scope quantitative and qualitative analysis with an urban fo-cus. This paper is intended to be an innovative contribution to the existing body of knowledge by ‘catching the wave’ of the current state of algebra and employing neutrosophy to develop a better understanding and model-ing …

Application Of The Neutrosophic Poisson Distribution Series On The Harmonic Subclass Of Analytic Functions Using The Salagean Derivative Operator, Adeniyi M. Gbolagade, Ibrahim T. Awolere, Olusola Adeyemo, Abiodun T. Oladipo

Neutrosophic Systems with Applications

The authors explore the innovative application of the Neutrosophic series, particularly the Neutrosophic Poisson Distribution Series (NPDS), to investigate various indeterminacy or uncertainties inherent in the classical univalent harmonic function class. The Neutrosophic Poisson Distribution Series is equipped with a Salangean derivative operator and convoluted with analytic univalent harmonic function class to derive new properties, such as inclusion relation, and coefficient inequalities for star-likeness. The results obtained demonstrate the effectiveness of this approach in capturing the inherent uncertainties and complexities associated with harmonic functions. There are several other areas of importance of our results that can be unlocked by computer …

Comparison Of Fuzzy Cognitive Maps And Sem In Estimating The Perception Of Corporate Social Responsibility, Roberto Arias Figueroa, Evelyn Tovar Molina, Angelita Romero Poveda, Darío Díaz Muñoz

Neutrosophic Sets and Systems

This study examines the impact of the perception of corporate social responsibility (CSR) on the perceptions of clients, em-ployees, and managers in small and medium enterprises (SMEs) in Ecuador. Utilizing a combination of Structural Equation Modeling (SEM) and Fuzzy Cognitive Maps (FCM), the research addresses how CSR policies influence the various internal stakeholders of companies, identifying complex structures of interaction and perception dynamics that could impact organi-zational performance. This neutrosophic framework not only enhances the understanding of CSR but also promotes the de-velopment of workplace welfare policies that effectively cater to a diverse range of staff needs and expectations. SEM …

An Integrated Neutrosophic Approach For The Urban Energy Internet Assessment Under Sustainability Dimensions, Walaa M. Sabry

Neutrosophic Systems with Applications

The urgent issue of climate change has resulted in an increasing preoccupation with the transition to low-carbon energy. The urban energy internet (UEI) enables the efficient utilization of renewable energy via the integration of contemporary energy grids, smart energy services, and cyber-physical systems. Consequently, the assessment of urban energy is vital for the construction of low-carbon cities. This study intends to provide an integrated decision-making approach for addressing assessment challenges related to UEI, with a focus on sustainability. The introduced approach adopts the opinions of three experts to express their opinions through semantic terms in evaluating sustainability factors and evaluating …

Intelligent Healthcare: Evaluation Potential Implications Of Metaverse In Healthcare Based On Mathematical Decision-Making Framework, Ibrahim Elhenawy, Sara Fawaz Al-Baker, Mona Mohamed

Neutrosophic Systems with Applications

The Metaverse has the ability to restructure and change the manner in which individuals connect with one another as well as the activities that they carry out on a daily basis. One definition of a Metaverse describes it as "a virtual, digital, and three-dimensional universe formed by the integration of various cutting-edge technologies and virtual places." In this piece, we will explore the potential applications of the Metaverse in the medical field. Our conversations on the notion of the Metaverse and the primary technologies that make it possible are both thought-provoking and in-depth. In this article, we study and analyze …

Neutrosophic Adaptive Lsb And Deep Learning Hybrid Framework For Ecg Signal Classification, Abdallah Rezk, Ahmed S. Sakr, H. M. Abdulkader

Applied Mathematics & Information Sciences

This paper proposes a novel hybrid framework for ECG signal classification and privacy preservation. The framework includes two phases: the first phase uses LSTM+CNN with attention gate for ECG classification, while the second phase utilizes adaptive least signal bit with neutrosophic for hiding important data during transmission. The proposed framework converts data into three sets of degrees (true, false, and intermediate) using neutrosophic and passes them to an embedding layer. In the sender part, the framework hides important data in ECG signal as true and false degrees, using the intermediate set as a shared dynamic key between sender and receiver. …

Novel Framework For Selecting Cloud Provider Using Neutrosophic And Modified Gan, Mohammed Attya, Ahmed S. Sakr, H. M. Abdulkader, Faisal Al-Showaikh, M. Kamel El-Sayed

Applied Mathematics & Information Sciences

Cloud computing is very important for many companies in the process of progress. The main problem for any company when transferring their work to the cloud is selecting the most suitable cloud provider among the availability of different cloud service providers with different properties and different alternatives. This paper introduces a novel framework that can be used for selecting the most suitable provider in the case of missing values in the evaluation of alternatives. The framework is composed of two steps; the first step in the framework is about using the Modified Generative Adversarial Network (M-GAN) for data imputation of …

A Short History Of Fuzzy, Intuitionistic Fuzzy, Neutrosophic And Plithogenic Sets, A. Rezaei, T. Oner, T. Katikan, Florentin Smarandache, N. Gandotra

Branch Mathematics and Statistics Faculty and Staff Publications

Recently, research on uncertainty modeling is progressing rapidly and many essential and breakthrough studies have already been done. There are various ways such as fuzzy, intuitionistic and neutrosophic sets to handle these uncertainties.

Although these concepts can handle incomplete information in various real-world issues, they cannot address all types of uncertainty such as indeterminate and inconsistent information. Also, plithogenic sets as a generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets, which is a set whose elements are characterized by many attributes’ values. In this paper, our aim is to demonstrate and review the history of fuzzy, intuitionistic and neutrosophic …

New Development Of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, And Neutrosophic Plithogenic Optimizations, Florentin Smarandache, Yanhui Guo

Branch Mathematics and Statistics Faculty and Staff Publications

This collective book presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.

Neutrosophic Dynamic Set, A. A. Salama, K. F. Alhasan, H. A. Elagamy, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this paper, we introduced the concept of the dynamic set according to modern logic, is neutrosophic logic. We study the neutrosophic dynamic set according to time and random variable depended on dynamic set. Neutrosophic dynamic is a dynamic analysis of a sequence of data through of time. It used in many problems in life such as a mathematical statistic, philosophy, medicine, engineering. Some examples and notes are presented.

Neutrosophic In Latin America, Advances And Perspectives (Neutrosofía En Latinoamérica, Avances Y Perspectivas), Maykel Leyva-Vazquez, Jesus Estupinan, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophy has given way to its own research method by constituting a unified field of logic for a transdisciplinary study that crosses the borders between the sciences. This paper analyzes the impact of neutrosophic theory in Latin America, its main drivers and the state of the research. The increase in publications since the creation of the Latin American Association of Neutrosophic Sciences is noteworthy. The most approached areas are found in the interrelation of the social sciences and neutrosophy, presenting outstanding results in these areas of research. The most outstanding university and institutions are the Autonomous Regional University of the …