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Neutrosophic Time-Truncated Acceptance Sampling Plans Based On The Exponentiated Weibull Distribution For Reliability Applications, Divya P.R., Preethi John

Neutrosophic Systems with Applications

Classical acceptance sampling plans require precisely specified parameter values, an assumption routinely violated by measurement uncertainty and gauge imprecision in practice. This article develops Neutrosophic Time-Truncated Acceptance Sampling Plans (N-TTASP) for the Exponentiated Weibull (EW) distribution by representing the scale parameter as a neutrosophic interval. The neutrosophic sample size n_N ∈ [n_L, n_U] and acceptance number c_N ∈ [c_L, c_U] are obtained by minimizing n_U subject to dual producer and consumer risk constraints on the neutrosophic Operating Characteristic interval. A new indeterminacy ratio η is introduced as a …

Enhanced Population Mean Estimation Using An Exponential Estimator With Known Medians Of Dual Auxiliary Variables Within A Neutrosophic Approach: Applications In Agricultural Yield Prediction, Anchal Yadav, Mukesh Kumar

Neutrosophic Systems with Applications

In classical statistical theory, estimation of population parameters is generally carried out under the assumption that all observed data are precise, complete, and free from ambiguity. However, in many practical and real-world situations, data often deviate from these ideal conditions and instead appear in vague, uncertain, or interval-valued forms. Such imperfections reduce the effectiveness of traditional estimation techniques and motivate the development of more flexible and robust methodologies. To address these challenges, several improved estimators, particularly neutrosophic ratio-type estimators and their advanced extensions, have been proposed in recent literature. In this study, a new estimator known as the two auxiliary …

An Improved Logarithmic Ratio-Product Type Estimator For Mean Modeling And Estimation Under Neutrosophic Uncertainty, Anchal Yadav, Mukesh Kumar

Neutrosophic Systems with Applications

In classical statistics, population mean estimation generally assumes precise and determinate data along with known auxiliary information. However, in real-world situations where observations are imprecise or expressed in interval form, such as temperature variations or financial market data, classical approaches become less effective. To address this limitation, neutrosophic statistics provide a more flexible framework for handling uncertainty and indeterminacy. This study proposes a neutrosophic logarithmic ratio-product type estimator for estimating the finite population mean using auxiliary information. The bias and mean squared error (MSE) of the proposed estimator are derived using a first-order approximation. Furthermore, performance evaluation is carried out …

Improved Estimator For Population Mean Utilizing Known Medians Of Two Auxiliary Variables Under Neutrosophic Framework, Rajesh Singh, Shobh Nath Tiwari

Neutrosophic Systems with Applications

In the context of classical statistics, the estimation of the population mean is done with determinate, precise, and crisp data when auxiliary information is available. However, there are instances where dealing with uncertain, indeterminate, and imprecise data in interval form is required. To overcome this issue, Florentin Smarandache introduced neutrosophic statistics as a novel approach. This paper introduces a neutrosophic modified ratio-cum-product log-type estimator for the estimation of the population mean using known medians of two auxiliary variables in the neutrosophic context. The bias and mean squared error (MSE) for the proposed estimators are computed to the first-order approximation. The …

A Family Of Neutrosophic Estimators For Estimating Mean: An Application To Real Data, Bavita Singh, Abhishek Singh, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In the realm of sample survey research, the classical statistics approach primarily deals with precise and definitive types of data to estimate population parameters when additional information is available. However, this approach fails when faced with data indeterminacies. To address such ambiguities, neutrosophic statistics emerges as an extension of both fuzzy and classical statistics. Thus, in light of the challenges posed by indeterminacy in sampling, we have introduced a proficient neutrosophic class of estimators, with and without Searls technique (optimization tool) for estimating the mean utilizing additional (ancillary) information under neutrosophic simple random sampling (NeSRS). The expression for the Bias …

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 …

Enhancing The Teaching-Learning Process Through Neutrosophic Statistical Analysis Of Professional Competencies And Metacognitive Strategies, Dante Manuel Macazana Fernandez, Wilder Fabio Ramos Palacios, Daniel Amílcar Pinto Pagaza,, Mary Liz Mendoza Hidalgo, Tula Margarita Espinoza Moreno, Mayra Susan Albán Taipe

Neutrosophic Sets and Systems

In the educational field, teaching effectiveness depends on the interaction between professional competencies and teachers' metacognitive strategies. Therefore, the present study has proposed to evaluate the relationship be-tween professional competencies and metacognitive strategies, by using the management of indeterminacies to improve the teaching-learning process. To this end, the neutrosophic statistics method was applied to analyze data on meta-cognitive competencies and strategies in a group of teachers. Among the results, a general positive relationship was revealed between professional competencies and metacognitive strategies, with significant var-iations in specific areas. Finally, it has been concluded that there is a significant connection, where the …

Neutrosophic Analysis In The Evaluation Of The Use Of Beauveria Bassiana Against The Potato White Grub, Edwin M. Chancusig-Espin, Paulina Imbaquingo Cachipuendo, Doris Guil-Camaigua

Neutrosophic Sets and Systems

Beauveria bassiana is an entomopathogenic fungus that has been shown to have the potential to control the potato white grub (Premnotrypes vorax), a pest that significantly affects potato production, especially in Ecuador. Therefore, the present study has focused on evaluating the effectiveness of Beauveria bassiana in the control of the potato white grub under laboratory conditions. To this end, neutrosophic statistics have been used to analyze larval mortality, by applying concentrations of 〖10〗^4, 〖10〗^6 and 〖10〗^8 conidia of Beauveria bassiana by spraying and immersion. Among the results, it was determined that treatment at a concentration of 108 conidia per spray …

Application Of Neutrosophic Statistics In The Integrated Management Of Ceratitis Capitata In Ecuador, Emerson J. Jácome-Mogro, Álvaro Alarcón Chuque, Cristian Jiménez Jácome, Pablo Carhuapoma, Heidi Gamarra, Jan Kreuze

Neutrosophic Sets and Systems

This study has addressed the management of Ceratitis capitata (Mediterranean fly) in Ecuador, focused on mitigating the impact on fruit crops under the influence of climate change and variations in agricultural practices. By using neutrosophic statistics, the study has modeled uncertainty in climatic and agricultural variables to improve the prediction and adaptabil-ity of management strategies. Integrated strategies have been proposed, which have included biological control, cultural management, and the use of insecticides, highlighting the effectiveness of adapting management practices based on neu-trosophic analysis. The results indicated that the adaptations of strategies, provided by neutrosophic statistics, allowed an effective response to …

Study Of The Relationship Between Moderate Intermittent Exercise And Blood Pressure In Institutionalized Older Adult Patients, Using The Neutrosophic Correlation Coefficient, Lisbeth Josefina Reales Chacón, Jennifer Pamela Freire Núñez, Carmen Analía De La Cruz López, Víctor Manuel García Camacho, Lizbeth Geovanna Silva Guayasamín, Josselyn Gabriela Bonilla Ayala

Neutrosophic Sets and Systems

This paper aims to analyze the effects of moderate intermittent exercise in institutionalized older adults and its relationship with blood pressure. It is an investigation where the impact of sporadic exercises on blood pressure values over time was evaluated. A total of 29 older adults were analyzed to whom moderate intermittent exercises were applied for 4 weeks, 3 times a week for 30 minutes each session, with 12 interventions. Because blood pressure is an indicator that changes over time during the course of the day and its measurement is not precise, we use single-valued neutrosophic sets as data instead of …

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 …

A New Mood’S Median Test For Imprecise Data, Abdulrahman Alaita, Muhammad Aslam, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The existing Mood’s median test is a non-parametric test used to compare two or more sample data sets whether they are from the same population or not. There can be no application of this test to uncertain and indeterminate data. Therefore, it is necessary to find a generalization of this test that will enable us to apply it in uncertain environments. This study will present a new approach that utilizes neutrosophic statistics to apply Mood’s median test. The approach involves defining hypotheses, determining a decision rule, and performing the test in an uncertain environment. An evaluation of the performance of …

Row-Column Designs: A Novel Approach For Analyzing Imprecise And Uncertain Observations, Abdulrahman Alaita, Muhammad Aslam, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Classical row-column designs cannot be applied when the underlying data set contains some imprecise, uncertain, or undetermined observations. In this paper, we discuss row-column design under a neutrosophic statistical framework. A significant contribution of our study is to propose a novel approach to analyzing row-column designs using neutrosophic data. This approach involves calculating the neutrosophic analysis of variance (NANOVA) table for the proposed design and using it to derive the FN -test in an uncertain environment. Two numerical examples have been used to assess the proposed design’s performance. Results from the study indicated that a row column design under …

The Encyclopedia Of Neutrosophic Researchers, 5th Volume, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy.

In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

There are about 7,000 neutrosophic researchers, within 89 countries around the …

Neutrosophic Statistics Is An Extension Of Interval Statistics, While Plithogenic Statistics Is The Most General Form Of Statistics (Third Version), Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

: In this paper we prove that Neutrosophic Statistics is an extension of the 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 …

Incidences Of Exploratory Research In Postgraduate University Studies: A Neutrosophic Statistic Approach, Gustavo Álvarez Gómez, Miriam Janneth Pantoja Burbano, Miryan Janeth Arévalo Haro, Aurelia María Cleonares Borbor, Rodolfo González Ortega

Neutrosophic Sets and Systems

Exploratory research corresponds to the first approach of investigative work. This type of research is very useful by allowing researchers to have a first approach or a first idea about the subject to study and will be of great help to become familiar with the method, but without providing conclusive results. It is usually carried out when the problem is in a preliminary phase. It is a process of collecting basic information on a problem that is not clearly defined. It is a very flexible technique, which implies that the researcher is willing to take risks, be patient and receptive. …

Statistical Methods And Management Of Indeterminacy In Medical Sciences. Surgical Site Infection Study After Vascular Surgery Procedures, Carlos Acosta Mayorga, Piedad Elizabeth Acurio Padilla, Guillermo Bastidas Tello, Abdel Bermúdez Del Sol

Neutrosophic Sets and Systems

Surgical site infections (SSIs) are one of the main infection control problems in modern hospitals, significantly prolonging the stay at the hospital and increasing the cost of treating patients with infections. They are the leading cause of failure for both patients and staff, including the need for repeated surgeries. The objective of this study is the epidemiological and microbiological analysis, through neutrosophic statistical tools, of surgical site infections after vascular surgery in a highly specialized vascular surgery center in the city of Guayaquil, in which 327 vascular operations were performed, during the year 2019 and the follow-up of patients was …

Handling Of Indeterminacy In Statistics. Application In Community Medicine, Jorge Enrique Lana Cisneros, Carlos López Barrionuevo, Elsy Labrada González, Alex Gabriel Lara Jácome

Neutrosophic Sets and Systems

Currently, humanity has made significant progress in the development of telecommunications and the economic, social, and health sectors; probably, in the same way, a series of pathogenic organisms have evolved considerably, causing harm to humanity. That is why Health Sciences has resorted to the technological advances offered by the industrial and telecommunications era. Among the tools of great help to combat infectious agents are statistical tools, which contribute a decisive step in advancing scientific studies aimed at communities and society. The application of Statistics in Health Sciences is essential to apply its knowledge in preventive activities, health promotion, and clinical …

Assessment Of The Relevance Of Intercultural Medical Care. Neutrosophic Sampling, María Gabriela González Chico, Neyda Hernández Bandera, Saihrys Herrera Lazo, Nelson Laica Sailema

Neutrosophic Sets and Systems

The research addresses aspects related to intercultural medical care, considering that methodological limitations affect the performance of medical care in Ecuador. The objective of this study was to carry out a diagnosis on the level of relevance of medical care personnel regarding interculturality in health, with a sample calculated using neutrosophic statistics , which covered different specialties. The research uses methods of a theoretical order (analytical-synthetic, inductive-deductive, and systemic) and the empirical level (the survey) and mathematical statistics. The information was submitted to the corresponding statistical processing. The results obtained in the practical validation of the assessment of the relevance …

Neutrosophic Statistical Analysis Of The Rehabilitation Of Arterial Hypertension, Lester Wong Vázquez, María Fernanda Orozco Noboa, Francisco Xavier Poveda Paredes, Jorge Marcelo Quintana Yánez

Neutrosophic Sets and Systems

The present research addresses the subject of a neutrosophic statistical analysis of the rehabilitation of arterial hypertension. Through the consultation of the literature referring to the research topic, that necessary to cover the scientific path and the preparation of the report, the systematized investigative experiences, the use of methods of the theoretical, empirical, statistical, and mathematical level, as well as investigative techniques; it was possible to show that there are shortcomings that weigh down the subject studied. That is the reason why this analysis is carried out. Through which, after processing the information, it is evident that the results correlate …

Evaluation Of Assertive Communication Competencies In Nurses Using Neutrosophic Statistics, María Isabel Fong Betancourt, Lotty Rosita Ramírez López, Rosita Elizabeth Del Carmen Olivo Torres, Fanny Del Rocío Pérez Naranjo

Neutrosophic Sets and Systems

Assertiveness, as an important element of interpersonal competency, is essential in effective conflict resolution. The nursing profession is associated with intense contacts in the therapeutic team, so this profession recognizes the need to use an assertive attitude, which allows defending one's dignity, expressing opinions and emotions for another person. This research aims to assess the assertive competencies of nurses in the city of Guayaquil through neutrosophic statistics. The neutrosophic population proportion was estimated with 99% of reliability, which leads us to conclude that assertive communication skills in nurses in the city of Guayaquil are generally very good in terms of …

Neutrosophic And Plithogenic Statistical Analysis In Educational Development, Fernando Castro Sánchez, Jorge Hernán Almeida Blacio, María Gabriel Flores Bracho, Danilo Rafael Andrade Santamaria, Ricardo Sánchez Casanova

Neutrosophic Sets and Systems

Education in the history of humanity briefly establishes the general characteristics of education over time. Throughout life, the student goes through more than 18 years in the classrooms, because education has rigorously changed throughout history, as a result of the evolution of some universities during the processes carried out until changing categories and an improvement in the evaluated indicators. On the other hand, governments and leading entities of education speak of the application of standards of educational quality, the efficiency of the educational system, and sustainability of financing and quality of spending to ensure that students develop knowledge, skills, and …

Neutrosophic Statistic For Exploratory Analysis Of The Data Provided By The Publications In The Social Sciences, Merck Milko Benavides Benalcázar, Bolívar David Narváez Montenegro, María José Calderón Velásquez, Jaime Rodrigo Cadena Morillo

Neutrosophic Sets and Systems

In the 21st century, several investigations related to society have focused on studies of the Social Sciences. The problems that affect the population are reflected in issues of the rights of women, children, and adolescents. Several authors have reflected their support against domestic violence, femicide, labor exploitation, the evaluation and modification of laws. The present study with the use of exploratory analysis and neutrosophic statistics seeks to define the most debated issues in the Social Sciences and each person's life with society. It should be noted that segments of society such as indigenous people and mestizos are aggravated by discrimination …

Neutrosophic Statistics In The Strategic Planning Of Information Systems, Dionisio Vitalio Ponce Ruiz, Rita Azucena Díaz Vásquez, Bolívar Enrique Villalta Jadan, Cristian Yovao Dorado Ceballos

Neutrosophic Sets and Systems

The purpose of carrying out an Information System Plan within any organization is to ensure the adequacy between its strategic objectives and the information necessary to support the major objectives. Discovering opportunities to innovate the processes of a company taking advantage of the advantages that information technologies provide, emphasizes the link between technology and business strategies, using information technologies (IT) as a facilitator to transform infrastructure and processes of the business. The success of the strategic planning of systems depends a lot on the support and involvement of the management, the understanding of the business objectives and strategies, the leadership …

Neutrosociology For The Analysis Of The Pros And Cons Of The Life Series In Uniandes, Ecuador, Nemis García Arias, Ned Quevedo Arnaiz, Silvia Gavilánez Villamarín, María Cleonares Borbor

Neutrosophic Sets and Systems

To teach English in Higher Education is of great importance to have professionals prepared for the challenges imposed by the globalization. Ecuador is a Spanish-speaking country for which the teaching of English is part of the programs of study of the courses taught in the Ecuadorian’s universities. This paper aims to carry out a statistical study of the acceptance of the LIFE program in the teaching of English at the Regional Autonomous University of Los Andes (UNIANDES in Spanish), its pros and cons. This is measured according to a Likert scale, with five options, two positive, two negative and one …

Introduction To Neutrosophic Sociology (Neutrosociology), Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic Sociology (or Neutrosociology) is the study of sociology using neutrosophic scientific methods.

The huge social data that we face in sociology is full of indeterminacy: it is vague, incomplete, contradictory, hybrid, biased, ignorant, redundant, superfluous, meaningless, ambiguous, unclear, etc.

That’s why the neutrosophic sciences (which deal with indeterminacy), through the process of neutrosophication, are involved, such as: neutrosophy (a new branch of philosophy), neutrosophic set, neutrosophic logic, neutrosophic probability and neutrosophic statistics, neutrosophic analysis, neutrosophic measure, and so on.

Neutrosophy studies only the triads (A, neutA, antiA), where A is an item or a concept, that make sense in …

New Types Of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/ Under-/ Off Set, Neutrosophic Refined Set, And Their Extension To Plithogenic Set/Logic/Probability, With Applications, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This international collective massive book, edited by Florentin Smarandache, has 716 pages, and represents the special issue on neutrosophic environment at SYMMETRY international journal (Scopus, Web of Science, IF: 2.143). The book contains 37 published papers, by 73 authors and coauthors, from 13 countries from around the world, in alphabetical order: China, Cuba, Ecuador, Egypt, India, Jordan, Korea, Malaysia, Pakistan, Romania, Saudi Arabia, United Kingdom, and United States of America.