Generalized Neutrosophic Sampling Strategy For Elevated Estimation Of Population Mean

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Generalized Neutrosophic Sampling Strategy for Elevated estimation of Population Mean

Author : Subhash Kumar Yadav
Publisher : Infinite Study
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4./5 ( download)

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Book Synopsis Generalized Neutrosophic Sampling Strategy for Elevated estimation of Population Mean by : Subhash Kumar Yadav

Download or read book Generalized Neutrosophic Sampling Strategy for Elevated estimation of Population Mean written by Subhash Kumar Yadav and published by Infinite Study. This book was released on 2023-01-01 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the disadvantages of the point estimate in survey sampling is that it fluctuates from sample to sample due to sampling error, as the estimator only provides a point value for the parameter under discussion. The neutrosophic approach, pioneered by Florentin Smarandache, is an excellent tool for estimating the parameters under consideration in sampling theory since it yields interval estimates in which the parameter lies with a very high probability. As a result, the neutrosophic technique, which is a generalization of classical approach, is used to deal with ambiguous, indeterminate, and uncertain data. In this investigation, we suggest a new general family of ratio and exponential ratio type estimators for the elevated estimation of neutrosophic population mean of the primary variable utilizing known neutrosophic auxiliary parameters. For the first degree approximation, the bias and Mean Squared Error (MSE) of the suggested estimators are computed. The neutrosophic optimum values of the characterizing constants are determined, as well as the minimum value of the neutrosophic MSE of the suggested estimator is obtained for these optimum values of the characterizing scalars. Because the minimum MSE of the classical estimators of population mean lies inside the estimated interval of the neutrosophic estimators, the neutrosophic estimators are better than the equivalent classical estimators. The empirical investigation, which used both real and simulated data sets, backs up the theoretical findings. For practical utility in various areas of applications, the estimator with the lowest MSE or highest Percentage Relative Efficiency (PRE) is recommended.

Introduction to Neutrosophic Statistics

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599732742
Total Pages : 125 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Introduction to Neutrosophic Statistics by : Florentin Smarandache

Download or read book Introduction to Neutrosophic Statistics written by Florentin Smarandache and published by Infinite Study. This book was released on 2014 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.

Ranked Set Sampling

Author : Munir Ahmad
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443825220
Total Pages : 240 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Ranked Set Sampling by : Munir Ahmad

Download or read book Ranked Set Sampling written by Munir Ahmad and published by Cambridge Scholars Publishing. This book was released on 2010-09-13 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ranked Set Sampling is one of the new areas of study in this region of the world and is a growing subject of research. Recently, researchers have paid attention to the development of the types of sampling; though it was not welcome in the beginning, it has numerous advantages over the classical sampling techniques. Ranked Set Sampling is doubly random and can be used in any survey designs. The Pakistan Journal of Statistics had attracted statisticians and samplers around the world to write up aspects of Ranked Set Sampling. All of the essays in this book have been reviewed by many critics. This volume can be used as a reference book for postgraduate students in economics, social sciences, medical and biological sciences, and statistics. The subject is still a hot topic for MPhil and PhD students for their dissertations.

Neutrosophic Sets and Systems, Vol. 34, 2020. Special Issue: Social Neutrosophy in Latin America

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 223 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 34, 2020. Special Issue: Social Neutrosophy in Latin America by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 34, 2020. Special Issue: Social Neutrosophy in Latin America written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy as science has inclusive attributes that make possible to extract the contributions of neutral values in the analysis of data sets; it builds a unified field of logic for transdisciplinary studies that transcend the boundaries between natural and social sciences. Neutral philosophy seeks to solve the problems of indeterminacy that appear universally, to reform the current natural or social sciences, with an open methodology to promote innovation. The research products related in this special issue start from the premise that the difficulty is not the complexity of the social environment, but the instrumental obsolescence to observe, interpret and manage that complexity, there are bold approaches and proposals for valid solutions that come to enrich the universe of resolution through the use of neutral methods. In the last year, the use of tools related to neutrosophy and its application to the social sciences, modeling of social phenomena based on simulation agents, problems associated with health, psychology, education, environmental management and sustainability solutions and legal sciences has increased in the events organized by the Asociacion Latinoamericana de Ciencias Neutrosoficas (ALCN in Spanish). The methods of higher incidence are cognitive maps, neutral Iadovs, neutral Delphi, analytical hierarchy process methods, neutral statistics, neutral personality models, among the most significant. In this special issue, there is a predominance of research from Ecuadorian universities, demonstrating how neutrosophy and its methods are consolidated as instruments of analysis, inference and research validation.

Neutrosophic Sets and Systems, Book Series, Vol. 34, 2020. An International Book Series in Information Science and Engineering. Special Issue: Social Neutrosophy in Latin America

Download Neutrosophic Sets and Systems, Book Series, Vol. 34, 2020. An International Book Series in Information Science and Engineering. Special Issue: Social Neutrosophy in Latin America PDF Online Free

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 223 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 34, 2020. An International Book Series in Information Science and Engineering. Special Issue: Social Neutrosophy in Latin America by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 34, 2020. An International Book Series in Information Science and Engineering. Special Issue: Social Neutrosophy in Latin America written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributors to current issue (listed in papers’ order): Noel Batista Hernández; C.V. Valenzuela Chicaiza; O.G. Arciniegas Paspuel; P.Y. Carrera Cuesta; D.R. Álvarez Hernández, C.E. Pozo Hernández; E.T. Mejía Álvarez; E.T. Villa Shagnay; S. Guerrón Enríquez; M.A. Tello Cadena; E.M. Pinos Medina; M. Jaramillo Burgos; F. Jara Vaca; R. Aguilar Berrezueta; E.M. Sandoval; B. Villalta Jadán; D. Palma Rivera; L.E. Valencia Cruzaty; M. Reyes Tomalá; C.M. Castillo Gallo, M.R. Velázquez; M.R. Mena Peralta; L. Ricardo Domínguez; D. Andrade Santamaría; X.Cangas Oña; M. Jaramillo Burgos; G.A. Calderón Vallejo; M. Orellana Cepeda; M.F. Galarza Villalba; M.S. Serrano Viteri; I. Ramos Castro; F. Vera Díaz; N.P. Lastra Calderón; D.L. Villarruel Delgado; D. Sandoval Malquín; E. Araujo Guerrón; A.R. Pupo Kairuz; D.V. Ponce Ruiz; F. Viteri Pita; F.S. Bustillo Mena; M.E. Narváez Jaramillo; M.A. Guerrero Ayala; D.A. Flores Jurado; O.M. Alonzo Pico; A.I. Utrera Velázquez; D.A. García Coello; E. Real Garlobo; C. Escobar Vinueza; R.C. Hernández Infante; M.E. Infante Miranda; F.R. Rivadeneira Enríquez; C.J. Galeano Páez; R.M. Montalvo Pantoja; K.A. Narváez Ortiz; S. Guaytarilla Salas; A.D. Rodríguez Lara; C.P. Rendón Tello; J. Almeida Blacio; R. Hurtado Guevara; L.G. Guallpa Zatán; H.J. Paillacho Chicaiza; J. Yaguar Mariño; M. Aguilar Carrión; D.A. Viteri Intriago; L. Álvarez Gómez; D. Ponce Ruiz; L.H. Carrión Hurtado; W.R. Salas Espín; M. Benalcázar Paladines; L. Moreira Rosales; L.K. Baque Villanueva; M.A. Mendoza; R. Salcedo; A.M. Izquierdo Morán; M.A. Checa Cabrera; B.J. Ipiales Chasiguano; A.L. Sandoval Pillajo; R. Díaz Vázquez; N.P. Becerra Arévalo; M.F. Calles Carrasco; John Luis Toasa Espinoza; M. Velasteguí Córdova; V.M. Parrales Carvajal; M.T. Macías Valverde; R. Aguas Pután; N. García Arias; N. Quevedo Arnaiz; S. Gavilánez Villamarín; M. Cleonares Borbor; M.F. Galarza Villalba; R. Aguas Pután; J. Mora Romero; J.E. Espìn Oviedo; L.J. Molina Chalacán; L.O. Albarracín Zambrano; E.J. Jalón Arias; A. Zúñiga Paredes; F. Smarandache; J. Estupiñán Ricardo; E. González Caballero; M.Y. Leyva Vázquez.

Neutrosophy

Author : Florentin Smarandache
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Neutrosophy by : Florentin Smarandache

Download or read book Neutrosophy written by Florentin Smarandache and published by . This book was released on 1998 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233764
Total Pages : 213 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps by : W. B. Vasantha Kandasamy

Download or read book Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003-01-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of Neutrosophy (the philosophy of neutralities, introduced by FLORENTIN SMARANDACHE), and its connected logic Neutrosophic Logic, which is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs). Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in intimate technology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network models; traffic and transportation problems; medical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; child labor problem; industrial relations: between employer and employee, maximizing production and profit; decision support in intelligent intrusion detection system; hyper-knowledge representation in strategy formation; female infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AIDS epidemic.

Neutrosophic Sets and Systems, vol. 52/2022

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 52/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 52/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-11-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Indirect Questioning in Sample Surveys

Author : Arijit Chaudhuri
Publisher : Springer Science & Business Media
ISBN 13 : 3642362761
Total Pages : 186 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Indirect Questioning in Sample Surveys by : Arijit Chaudhuri

Download or read book Indirect Questioning in Sample Surveys written by Arijit Chaudhuri and published by Springer Science & Business Media. This book was released on 2013-08-31 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indirect questioning is a crucial topic in surveys of human populations. When the issue is about a stigmatizing characteristic (for example about illegal drug use), standard survey methodologies are destined to fail because, as expected, people are not willing to reveal incriminating information or information violating their privacy. Indirect questioning techniques have been devised so that the privacy of participants in a sample survey is protected and at the same time good estimates of certain parameters (e.g. the percentage of people in a certain community who use illegal drugs) can be delivered. The topic is modern and still under development. Indirect Questioning in Sample Surveys represents a collection of the most important and recent techniques of indirect questioning, including various versions of randomized response, the item count technique, the nominative technique, the three-card method, non-randomized response models and negative surveys, while also exploring the key aspect of protecting privacy.

Big Data in Psychiatry and Neurology

Author : Ahmed Moustafa
Publisher : Academic Press
ISBN 13 : 0128230029
Total Pages : 386 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Big Data in Psychiatry and Neurology by : Ahmed Moustafa

Download or read book Big Data in Psychiatry and Neurology written by Ahmed Moustafa and published by Academic Press. This book was released on 2021-06-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Big Data in Psychiatry and Neurology provides an up-to-date overview of achievements in the field of big data in Psychiatry and Medicine, including applications of big data methods to aging disorders (e.g., Alzheimer's disease and Parkinson's disease), mood disorders (e.g., major depressive disorder), and drug addiction. This book will help researchers, students and clinicians implement new methods for collecting big datasets from various patient populations. Further, it will demonstrate how to use several algorithms and machine learning methods to analyze big datasets, thus providing individualized treatment for psychiatric and neurological patients. As big data analytics is gaining traction in psychiatric research, it is an essential component in providing predictive models for both clinical practice and public health systems. As compared with traditional statistical methods that provide primarily average group-level results, big data analytics allows predictions and stratification of clinical outcomes at an individual subject level. - Discusses longitudinal big data and risk factors surrounding the development of psychiatric disorders - Analyzes methods in using big data to treat psychiatric and neurological disorders - Describes the role machine learning can play in the analysis of big data - Demonstrates the various methods of gathering big data in medicine - Reviews how to apply big data to genetics

Optimal Decision Making in Operations Research and Statistics

Author : Irfan Ali
Publisher : CRC Press
ISBN 13 : 1000404722
Total Pages : 434 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Optimal Decision Making in Operations Research and Statistics by : Irfan Ali

Download or read book Optimal Decision Making in Operations Research and Statistics written by Irfan Ali and published by CRC Press. This book was released on 2021-11-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides insights in the decision-making for implementing strategies in various spheres of real-world issues. It integrates optimal policies in various decisionmaking problems and serves as a reference for researchers and industrial practitioners. Furthermore, the book provides sound knowledge of modelling of real-world problems and solution procedure using the various optimisation and statistical techniques for making optimal decisions. The book is meant for teachers, students, researchers and industrialists who are working in the field of materials science, especially operations research and applied statistics.

Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists

Author : W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral
Publisher : Infinite Study
ISBN 13 : 1599730057
Total Pages : 352 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists by : W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral

Download or read book Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists written by W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral and published by Infinite Study. This book was released on 2007-03-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fuzzy and Neutrosophic Analysis of Periyar's Views on Untouchability

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233004
Total Pages : 385 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Fuzzy and Neutrosophic Analysis of Periyar's Views on Untouchability by : W. B. Vasantha Kandasamy

Download or read book Fuzzy and Neutrosophic Analysis of Periyar's Views on Untouchability written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2005 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, the social problem of untouchability, which is peculiar to India, is being studied mathematically.We have used Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps to analyze the views of the revolutionary Periyar E. V. Ramasamy (17.09.1879 24.12.1973) who relentlessly worked for more than five decades to secure the rights of the oppressed people who were considered untouchables. This thought-provoking book will be of great interest to human rights activists, socio-scientists, historians, and above all, mathematicians.From UNESCO citation: Periyar, The Prophet of the New Age, The Socrates of South East Asia, Father of the Social reform Movement and Arch Enemy of Ignorance, Superstition, Meaningless Customs and Baseless Manners.

Sampling Theory of Surveys, with Applications

Author : Pandurang Vasudeo Sukhatme
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Sampling Theory of Surveys, with Applications by : Pandurang Vasudeo Sukhatme

Download or read book Sampling Theory of Surveys, with Applications written by Pandurang Vasudeo Sukhatme and published by . This book was released on 1954 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic theory: simple random sampling. Sampling with varying probabilities. Stratified sampling. Ratio method of estimation. Regression method estimation. Choice of sampling unit. Sub-sampling. Systematic sampling. Non-sampling errors.

Survey Sampling Theory and Applications

Author : Raghunath Arnab
Publisher : Academic Press
ISBN 13 : 0128118970
Total Pages : 932 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Survey Sampling Theory and Applications by : Raghunath Arnab

Download or read book Survey Sampling Theory and Applications written by Raghunath Arnab and published by Academic Press. This book was released on 2017-03-08 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survey Sampling Theory and Applications offers a comprehensive overview of survey sampling, including the basics of sampling theory and practice, as well as research-based topics and examples of emerging trends. The text is useful for basic and advanced survey sampling courses. Many other books available for graduate students do not contain material on recent developments in the area of survey sampling. The book covers a wide spectrum of topics on the subject, including repetitive sampling over two occasions with varying probabilities, ranked set sampling, Fays method for balanced repeated replications, mirror-match bootstrap, and controlled sampling procedures. Many topics discussed here are not available in other text books. In each section, theories are illustrated with numerical examples. At the end of each chapter theoretical as well as numerical exercises are given which can help graduate students. - Covers a wide spectrum of topics on survey sampling and statistics - Serves as an ideal text for graduate students and researchers in survey sampling theory and applications - Contains material on recent developments in survey sampling not covered in other books - Illustrates theories using numerical examples and exercises

Classification of trapezoidal bipolar neutrosophic number, de‑bipolarization technique and its execution in cloud service‑based MCGDM problem

Download Classification of trapezoidal bipolar neutrosophic number, de‑bipolarization technique and its execution in cloud service‑based MCGDM problem PDF Online Free

Author : Avishek Chakraborty
Publisher : Infinite Study
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis Classification of trapezoidal bipolar neutrosophic number, de‑bipolarization technique and its execution in cloud service‑based MCGDM problem by : Avishek Chakraborty

Download or read book Classification of trapezoidal bipolar neutrosophic number, de‑bipolarization technique and its execution in cloud service‑based MCGDM problem written by Avishek Chakraborty and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set can deal with the uncertainties related to the information of any decision making problem in real life scenarios, where fuzzy set may fail to handle those uncertainties properly. In this study, we present the perception of trapezoidal bipolar neutrosophic numbers and its classification in different frame. We introduce the idea of disjunctive structures of trapezoidal bipolar neutrosophic numbers namely type-1 trapezoidal bipolar neutrosophic number, type-2 trapezoidal bipolar neutrosophic numbers, and type-3 trapezoidal bipolar neutrosophic number based on the perception of dependency among membership functions in neutrosophic set. In any neutrosophic decision-making problem, the decision maker uses the comparison of neutrosophic numbers to choose among alternatives solutions. Here, we introduce a ranking method, i.e., Debipolarization scheme for trapezoidal bipolar neutrosophic number (TrBNN) using removal area technique. We also describe the utility of trapezoidal bipolar neutrosophic number and its appliance in a multi criteria group decision making problem (MCGDM) for distinct users in trapezoidal bipolar arena which is more ethical, precise and reliable in neutrosophic field.

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by : Florentin Smarandache

Download or read book Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set written by Florentin Smarandache and published by Infinite Study. This book was released on 2010-08-23 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.