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Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education


Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education
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Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education


Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education
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Author : Broumi, Said
language : en
Publisher: IGI Global
Release Date : 2023-06-09

Handbook Of Research On The Applications Of Neutrosophic Sets Theory And Their Extensions In Education written by Broumi, Said and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-09 with Mathematics categories.


Fuzzy sets have experienced multiple expansions since their conception to enhance their capacity to convey complex information. Intuitionistic fuzzy sets, image fuzzy sets, q-rung orthopair fuzzy sets, and neutrosophic sets are a few of these extensions. Researchers and academics have acquired a lot of information about their theories and methods for making decisions. However, only a small number of research findings discuss how neutrosophic sets theory and their extensions (NSTEs) are used in education. The Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education implements fresh scientific approaches to enhance the quality of decisions under neutrosophic environments, particularly within education. Covering key topics such as data modeling, educational technologies, decision making, and learning management systems, this major reference work is ideal for instructional designers, researchers, academicians, scholars, practitioners, instructors, and students.



Superhypergraph Neural Networks And Plithogenic Graph Neural Networks Theoretical Foundations


Superhypergraph Neural Networks And Plithogenic Graph Neural Networks Theoretical Foundations
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Author : Takaaki Fujita
language : en
Publisher: Infinite Study
Release Date : 2025-01-01

Superhypergraph Neural Networks And Plithogenic Graph Neural Networks Theoretical Foundations written by Takaaki Fujita and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-01 with Mathematics categories.


Hypergraphs extend traditional graphs by allowing edges to connect multiple nodes, while superhypergraphs further generalize this concept to represent even more complex relationships. Neural networks, inspired by biological systems, are widely used for tasks such as pattern recognition, data classification, and prediction. Graph Neural Networks (GNNs), a well-established framework, have recently been extended to Hypergraph Neural Networks (HGNNs), with their properties and applications being actively studied. The Plithogenic Graph framework enhances graph representations by integrating multi-valued attributes, as well as membership and contradiction functions, enabling the detailed modeling of complex relationships. In the context of handling uncertainty, concepts such as Fuzzy Graphs and Neutrosophic Graphs have gained prominence. It is well established that Plithogenic Graphs serve as a generalization of both Fuzzy Graphs and Neutrosophic Graphs. Furthermore, the Fuzzy Graph Neural Network has been proposed and is an active area of research. This paper establishes the theoretical foundation for the development of SuperHyperGraph Neural Networks (SHGNNs) and Plithogenic Graph Neural Networks, expanding the applicability of neural networks to these advanced graph structures. While mathematical generalizations and proofs are presented, future computational experiments are anticipated.



Neutrosophic Sets And Systems Vol 58 2023


Neutrosophic Sets And Systems Vol 58 2023
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-04-20

Neutrosophic Sets And Systems Vol 58 2023 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-20 with Mathematics categories.


“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.



Neutrosophic Sets And Systems Vol 63 2024


Neutrosophic Sets And Systems Vol 63 2024
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2024-02-01

Neutrosophic Sets And Systems Vol 63 2024 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-01 with Mathematics categories.


“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). In neutrosophic logic a proposition has a degree of truth (T), a degree of indeterminacy (I), and a degree of falsity (F), where T, I, F are standard or non-standard subsets of ]-0, 1+[. Neutrosophic Probability is a generalization of the classical probability and imprecise probability. Neutrosophic Statistics is a generalization of the classical statistics.



Neutrosophic Sets And Systems Vol 57 2023


Neutrosophic Sets And Systems Vol 57 2023
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2024-04-01

Neutrosophic Sets And Systems Vol 57 2023 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-01 with Mathematics categories.


“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). In neutrosophic logic a proposition has a degree of truth (T), a degree of indeterminacy (I), and a degree of falsity (F), where T, I, F are standard or non-standard subsets of ]-0, 1+[. Neutrosophic Probability is a generalization of the classical probability and imprecise probability. Neutrosophic Statistics is a generalization of the classical statistics.



Research On The Topics Of Neutrosophic Operations Research


Research On The Topics Of Neutrosophic Operations Research
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-08-10

Research On The Topics Of Neutrosophic Operations Research written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-10 with Technology & Engineering categories.


In this volume, we present a set of research that was published in cooperation with a number of researchers and those interested in keeping pace with the great scientific development that our contemporary world is witnessing, and one of its products was neutrosophic science, which was founded by the American scientist and mathematical philosopher Florentin Smarandache in 1995. Through it, we present a new vision for some research methods. Operations research to the concepts of this science.



Neutrosophic Systems With Applications Nswa Vol 6 2023


Neutrosophic Systems With Applications Nswa Vol 6 2023
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-09-23

Neutrosophic Systems With Applications Nswa Vol 6 2023 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-23 with Antiques & Collectibles categories.


Papers on neutrosophic and plithogenic sets, logics, probabilities and statistics, on NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra, etc…



Fuzzy Methods For Assessment And Decision Making


Fuzzy Methods For Assessment And Decision Making
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Author : Michael Gr. Voskoglou
language : en
Publisher: Elsevier
Release Date : 2024-10-08

Fuzzy Methods For Assessment And Decision Making written by Michael Gr. Voskoglou and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-08 with Mathematics categories.


Fuzzy Methods for Assessment and Decision Making presents the assessment of learning and problem-solving skills with qualitative grades. These methods are outcomes of the author's research work on the subject for more than 20 years. In particular, a hybrid assessment model uses the Center of Gravity (COG) defuzzification technique, closed real intervals (grey numbers), neutrosophic sets, and soft sets as tools. The book starts with the basic mathematical background that is needed for an understanding of its contents. The Rectangular Fuzzy Assessment Model (RFAM) of Subbotin and Voskoglou is presented next, the outcomes of which are compared to those of the GPA index.The book presents innovative fuzzy assessment methods, enabling readers to assess the mean and quality performance of learning or problem-solving skills of a group of students when qualitative (linguistic) grades are used for this purpose. In the case of using linguistic grades for the assessment of a group's skills, the classical method of calculating the mean value of the (numerical) grades cannot be applied. Also, no safe conclusions can be obtained on comparing the quality performance of two groups when the values of their GPA index are equal. - Presents innovative, fuzzy assessment methods to enable readers to assess the mean and quality performance of learning - Discusses fuzzy logic and techniques for decision-making in all domains - Includes applications of fuzzy decision-making as a hybrid model using soft sets, grey numbers, and neutrosophic sets



The Encyclopedia Of Neutrosophic Researchers 5th Volume


The Encyclopedia Of Neutrosophic Researchers 5th Volume
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-11-01

The Encyclopedia Of Neutrosophic Researchers 5th Volume written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-01 with Reference categories.


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 globe, that have produced about 4,000 publications and tenths of PhD and MSc theses, within more than two decades. This is the fifth volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation, with an introduction contains a short history of neutrosophics, together with links to the main papers and books.



Neutrosophic Paradigms Advancements In Decision Making And Statistical Analysis


Neutrosophic Paradigms Advancements In Decision Making And Statistical Analysis
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Author : Florentin Smarandache
language : en
Publisher: Springer Nature
Release Date : 2025-03-30

Neutrosophic Paradigms Advancements In Decision Making And Statistical Analysis written by Florentin Smarandache and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-30 with Computers categories.


This book offers a comprehensive reference guide to neutrosophic theory and its applications in decision-making in numerous disciplines, ranging from business, economics and management, computer science, health and environmental sciences, and many others. Chapters were selected to cover: different extensions of neutrosophic sets, statistical techniques for dealing with imprecise data and decision-making, and a range of real-life examples. All in all, the book is intended to provide a timely update on the state-of-the-art in neutrosophic decision-making for researchers and professionals from various disciplines, as well as master’s and graduate students in mathematics, statistics, and computer science.