A Modern Introduction To Fuzzy Mathematics

Author : Apostolos Syropoulos,Theophanes Grammenos
Publisher : John Wiley & Sons
Page : 382 pages
File Size : 45,9 Mb
Release : 2020-07-28
Category : Technology & Engineering
ISBN : 9781119445289

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A Modern Introduction to Fuzzy Mathematics by Apostolos Syropoulos,Theophanes Grammenos Pdf

Provides readers with the foundations of fuzzy mathematics as well as more advanced topics A Modern Introduction to Fuzzy Mathematics provides a concise presentation of fuzzy mathematics., moving from proofs of important results to more advanced topics, like fuzzy algebras, fuzzy graph theory, and fuzzy topologies. The authors take the reader through the development of the field of fuzzy mathematics, starting with the publication in 1965 of Lotfi Asker Zadeh's seminal paper, Fuzzy Sets. The book begins with the basics of fuzzy mathematics before moving on to more complex topics, including: Fuzzy sets Fuzzy numbers Fuzzy relations Possibility theory Fuzzy abstract algebra And more Perfect for advanced undergraduate students, graduate students, and researchers with an interest in the field of fuzzy mathematics, A Modern Introduction to Fuzzy Mathematics walks through both foundational concepts and cutting-edge, new mathematics in the field.

Author : M. GANESH
Publisher : PHI Learning Pvt. Ltd.
Page : 256 pages
File Size : 46,9 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9788120328617

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INTRODUCTION TO FUZZY SETS AND FUZZY LOGIC by M. GANESH Pdf

Reflecting the tremendous advances that have taken place in the study of fuzzy set theory and fuzzy logic, this book not only details the theoretical advances in these areas, but also considers a broad variety of applications of fuzzy sets and fuzzy logic. This comprehensive and up-to-date text is organized in three parts. The concepts pertaining to the “crisp” situation such as Set Theory, Logic, Switching Function Theory and Boolean Algebra are covered in Part I of the text. Part II is devoted to fuzzy Set Theory, Fuzzy Relations and Fuzzy Logic. The applications of fuzzy set theory and fuzzy logic to Control Theory and Decision Making are designated Part III of the text. Designed as a textbook for the undergraduate and postgraduate students of Science and Engineering, the book will also be immensely useful to practicing engineers and computer scientists.

Author : Guanrong Chen,Trung Tat Pham
Publisher : CRC Press
Page : 328 pages
File Size : 48,6 Mb
Release : 2000-11-27
Category : Mathematics
ISBN : 9781420039818

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Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems by Guanrong Chen,Trung Tat Pham Pdf

In the early 1970s, fuzzy systems and fuzzy control theories added a new dimension to control systems engineering. From its beginnings as mostly heuristic and somewhat ad hoc, more recent and rigorous approaches to fuzzy control theory have helped make it an integral part of modern control theory and produced many exciting results. Yesterday's "art

Author : Gholamreza Hesamian
Publisher : CRC Press
Page : 452 pages
File Size : 41,7 Mb
Release : 2022-02-24
Category : Mathematics
ISBN : 9781000539820

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Fuzzy Statistical Inferences Based on Fuzzy Random Variables by Gholamreza Hesamian Pdf

This book presents the most commonly used techniques for the most statistical inferences based on fuzzy data. It brings together many of the main ideas used in statistical inferences in one place, based on fuzzy information including fuzzy data. This book covers a much wider range of topics than a typical introductory text on fuzzy statistics. It includes common topics like elementary probability, descriptive statistics, hypothesis tests, one-way ANOVA, control-charts, reliability systems and regression models. The reader is assumed to know calculus and a little fuzzy set theory. The conventional knowledge of probability and statistics is required. Key Features: Includes example in Mathematica and MATLAB. Contains theoretical and applied exercises for each section. Presents various popular methods for analyzing fuzzy data. The book is suitable for students and researchers in statistics, social science, engineering, and economics, and it can be used at graduate and P.h.D level.

Author : Apostolos Syropoulos,Basil K. Papadopoulos
Publisher : Walter de Gruyter GmbH & Co KG
Page : 196 pages
File Size : 48,5 Mb
Release : 2021-09-07
Category : Mathematics
ISBN : 9783110704303

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Vagueness in the Exact Sciences by Apostolos Syropoulos,Basil K. Papadopoulos Pdf

The book starts with the assumption that vagueness is a fundamental property of this world. From a philosophical account of vagueness via the presentation of alternative mathematics of vagueness, the subsequent chapters explore how vagueness manifests itself in the various exact sciences: physics, chemistry, biology, medicine, computer science, and engineering.

Author : John N. Mordeson,Sunil Mathew
Publisher : Springer
Page : 209 pages
File Size : 40,8 Mb
Release : 2018-12-13
Category : Technology & Engineering
ISBN : 9783030042158

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Advanced Topics in Fuzzy Graph Theory by John N. Mordeson,Sunil Mathew Pdf

This book builds on two recently published books by the same authors on fuzzy graph theory. Continuing in their tradition, it provides readers with an extensive set of tools for applying fuzzy mathematics and graph theory to social problems such as human trafficking and illegal immigration. Further, it especially focuses on advanced concepts such as connectivity and Wiener indices in fuzzy graphs, distance, operations on fuzzy graphs involving t-norms, and the application of dialectic synthesis in fuzzy graph theory. Each chapter also discusses a number of key, representative applications. Given its approach, the book provides readers with an authoritative, self-contained guide to – and at the same time an inspiring read on – the theory and modern applications of fuzzy graphs. For newcomers, the book also includes a brief introduction to fuzzy sets, fuzzy relations and fuzzy graphs.

Author : Broumi, Said
Publisher : IGI Global
Page : 386 pages
File Size : 44,6 Mb
Release : 2023-06-09
Category : Mathematics
ISBN : 9781668478370

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Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education by Broumi, Said Pdf

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.

Author : Maribel Fernández,Christopher M. Poskitt
Publisher : Springer Nature
Page : 308 pages
File Size : 43,7 Mb
Release : 2023-08-14
Category : Computers
ISBN : 9783031367090

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Graph Transformation by Maribel Fernández,Christopher M. Poskitt Pdf

This book constitutes the refereed proceedings of the 16th International Conference on Graph Transformation, ICGT 2023, held as Part of STAF 2023 in Leicester, UK, in July 2023. The 14 full papers and 2 short papers presented in this book were carefully reviewed and selected from 29 submissions. The conference focuses on describing new unpublished contributions in the theory and applications of graph transformation as well as tool presentation papers that demonstrate main new features and functionalities of graph-based tools.

Author : Hung T. Nguyen,Carol L. Walker,Elbert A. Walker
Publisher : CRC Press
Page : 192 pages
File Size : 47,6 Mb
Release : 2018-12-07
Category : Mathematics
ISBN : 9780429012600

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A First Course in Fuzzy Logic by Hung T. Nguyen,Carol L. Walker,Elbert A. Walker Pdf

A First Course in Fuzzy Logic, Fourth Edition is an expanded version of the successful third edition. It provides a comprehensive introduction to the theory and applications of fuzzy logic. This popular text offers a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world applications. New in the Fourth Edition: Features new results on fuzzy sets of type-2 Provides more information on copulas for modeling dependence structures Includes quantum probability for uncertainty modeling in social sciences, especially in economics With its comprehensive updates, this new edition presents all the background necessary for students, instructors and professionals to begin using fuzzy logic in its many—applications in computer science, mathematics, statistics, and engineering. About the Authors: Hung T. Nguyen is a Professor Emeritus at the Department of Mathematical Sciences, New Mexico State University. He is also an Adjunct Professor of Economics at Chiang Mai University, Thailand. Carol L. Walker is also a Professor Emeritus at the Department of Mathematical Sciences, New Mexico State University. Elbert A. Walker is a Professor Emeritus, Department of Mathematical Sciences, New Mexico State University.

Author : Etienne E. Kerre,John Mordeson
Publisher : MDPI
Page : 287 pages
File Size : 52,8 Mb
Release : 2018-11-28
Category : Electronic books
ISBN : 9783038973225

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Fuzzy Mathematics by Etienne E. Kerre,John Mordeson Pdf

This book is a printed edition of the Special Issue "Fuzzy Mathematics" that was published in Mathematics

Author : Jaroslav Sestak
Publisher : Elsevier
Page : 646 pages
File Size : 42,9 Mb
Release : 2021-08-09
Category : Science
ISBN : 9780323858113

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Thermal Analysis and Thermodynamic Properties of Solids by Jaroslav Sestak Pdf

Thermal Analysis and Thermodynamic Properties of Solids, Second Edition covers foundational principles and recent updates in the field, presenting an authoritative overview of theoretical knowledge and practical applications across several fields. Since the first edition of this book was published, large developments have occurred in the theoretical understanding of—and subsequent ability to assess and apply—principles of thermal analysis. Drawing on the knowledge of its expert author, this second edition provides fascinating insight for both new and experienced students, researchers, and industry professionals whose work is influenced or impacted by thermo analysis principles and tools. Part 1 provides a detailed introduction and guide to theoretical aspects of thermal analysis and the related impact of thermodynamics. Key terminology and concepts, the fundamentals of thermophysical examinations, thermostatics, equilibrium background, thermotics, reaction kinetics and models, thermokinetics and the exploitation of fractals are all discussed. Part 2 then goes on to discuss practical applications of this theoretical information to topics such as crystallization kinetics and glass states, thermodynamics in superconductor models, and climate change. Includes fully updated as well as new chapters on kinetic phase diagrams, thermokinetics in DTA experiments, and crystallization kinetics Discusses the influence of key derivatives such as thermostatics, thermodynamics, thermotics, and thermokinetics Helps readers understand and describe reaction kinetics in solids, both in terms of simplified descriptions of the reaction mechanism models and averaged descriptions using fractals

Author : H. J. Zimmerman
Publisher : Allied Publishers
Page : 430 pages
File Size : 55,5 Mb
Release : 1996
Category : Fuzzy sets
ISBN : 8170235251

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Fuzzy Set Theory and Its Applications by H. J. Zimmerman Pdf

Author : Xinjun Chen
Publisher : Springer Nature
Page : 200 pages
File Size : 47,5 Mb
Release : 2023-06-29
Category : Science
ISBN : 9789819906352

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Application of Gray System Theory in Fishery Science by Xinjun Chen Pdf

This book reviews the gray system and combines its latest research results in fishery science. The chapters cover the basic concept and theory of gray system, original data processing and gray sequence generation, gray correlation analysis, gray cluster analysis, gray system modeling, gray prediction, gray decision-making, and gray linear programming. The theory of gray system is a new cross-sectional discipline founded in 1982 by Professor Deng Julong, a well-known scholar in China. In recent decades, it has not only been deepened and expanded in theory but also widely used in the fields of society, economy, ocean, agriculture, fishery, and other fields, and made a series of significant scientific achievements. These have laid the foundation for the important position of the gray system theory. Due to the great uncertainty of the fishery resources and the fishery environment involved in the fishery science system, which is completely different from the natural resources on the land, the data and information belong to the category of “poor information”, and the variability and uncertainty are greater than other natural resources. As an extremely effective analytical method and tool, gray system theory has been applied increasingly in fishery science. The book is developed based on well-read and practical literature and will help scientists and research units engaged in scientific research and teaching in fishery science and related fields to develop new research methods and tools.

Author : Arturo Sangalli
Publisher : Princeton University Press
Page : 128 pages
File Size : 51,9 Mb
Release : 2018-06-05
Category : Computers
ISBN : 9780691187358

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The Importance of Being Fuzzy by Arturo Sangalli Pdf

How has computer science changed mathematical thinking? In this first ever comprehensive survey of the subject for popular science readers, Arturo Sangalli explains how computers have brought a new practicality to mathematics and mathematical applications. By using fuzzy logic and related concepts, programmers have been able to sidestep the traditional and often cumbersome search for perfect mathematical solutions to embrace instead solutions that are "good enough." If mathematicians want their work to be relevant to the problems of the modern world, Sangalli shows, they must increasingly recognize "the importance of being fuzzy." As Sangalli explains, fuzzy logic is a technique that allows computers to work with imprecise terms--to answer questions with "maybe" rather than just "yes" and "no." The practical implications of this flexible type of mathematical thinking are remarkable. Japanese programmers have used fuzzy logic to develop the city of Sendai's unusually energy-efficient and smooth-running subway system--one that does not even require drivers. Similar techniques have been used in fields as diverse as medical diagnosis, image understanding by robots, the engineering of automatic transmissions, and the forecasting of currency exchange rates. Sangalli also explores in his characteristically clear and engaging manner the limits of classical computing, reviewing many of the central ideas of Turing and Godel. He shows us how "genetic algorithms" can solve problems by an evolutionary process in which chance plays a fundamental role. He introduces us to "neural networks," which recognize ill-defined patterns without an explicit set of rules--much as a dog can be trained to scent drugs without ever having an exact definition of "drug." Sangalli argues that even though "fuzziness" and related concepts are often compared to human thinking, they can be understood only through mathematics--but the math he uses in the book is straightforward and easy to grasp. Of equal appeal to specialists and the general reader, The Importance of Being Fuzzy reveals how computer science is changing both the nature of mathematical practice and the shape of the world around us.

Author : Olaf Wolkenhauer
Publisher : John Wiley & Sons
Page : 296 pages
File Size : 55,8 Mb
Release : 2004-04-07
Category : Technology & Engineering
ISBN : 9780471464105

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Data Engineering by Olaf Wolkenhauer Pdf

Although data engineering is a multi-disciplinary field withapplications in control, decision theory, and the emerging hot areaof bioinformatics, there are no books on the market that make thesubject accessible to non-experts. This book fills the gap in thefield, offering a clear, user-friendly introduction to the maintheoretical and practical tools for analyzing complex systems. Anftp site features the corresponding MATLAB and Mathematical toolsand simulations. Market: Researchers in data management, electrical engineering,computer science, and life sciences.