[Full Book] Fundamentals Of Fuzzy Sets

Fundamentals of Fuzzy Sets PDF
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Publisher: Springer Science & Business Media
Author: Didier Dubois
Category : Mathematics
Languages : en
Pages : 647

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Fundamentals Of Fuzzy Sets

Fundamentals Of Fuzzy Sets by Didier Dubois, Fundamentals Of Fuzzy Sets Books available in PDF, EPUB, Mobi Format. Download Fundamentals Of Fuzzy Sets books, Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field. The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews information measures of specificity and fuzziness. The last part concerns fuzzy sets on the real line - computation with fuzzy intervals, metric topology of fuzzy numbers, and the calculus of fuzzy-valued functions. Each chapter is written by one or more recognized specialists and offers a tutorial introduction to the topics, together with an extensive bibliography.


[Full Book] Fundamentals Of The Fuzzy Logic Based Generalized Theory Of Decisions

Fundamentals of the Fuzzy Logic Based Generalized Theory of Decisions PDF
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Publisher: Springer
Author: Rafik Aziz Aliev
Category : Technology & Engineering
Languages : en
Pages : 324

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Fundamentals Of The Fuzzy Logic Based Generalized Theory Of Decisions

Fundamentals Of Fuzzy Sets by Rafik Aziz Aliev, Fundamentals Of The Fuzzy Logic Based Generalized Theory Of Decisions Books available in PDF, EPUB, Mobi Format. Download Fundamentals Of The Fuzzy Logic Based Generalized Theory Of Decisions books, Every day decision making and decision making in complex human-centric systems are characterized by imperfect decision-relevant information. Main drawback of the existing decision theories is namely incapability to deal with imperfect information and modeling vague preferences. Actually, a paradigm of non-numerical probabilities in decision making has a long history and arose also in Keynes’s analysis of uncertainty. There is a need for further generalization – a move to decision theories with perception-based imperfect information described in NL. The languages of new decision models for human-centric systems should be not languages based on binary logic but human-centric computational schemes able to operate on NL-described information. Development of new theories is now possible due to an increased computational power of information processing systems which allows for computations with imperfect information, particularly, imprecise and partially true information, which are much more complex than computations over numbers and probabilities. The monograph exposes the foundations of a new decision theory with imperfect decision-relevant information on environment and a decision maker’s behavior. This theory is based on the synthesis of the fuzzy sets theory with perception-based information and the probability theory. The book is self containing and represents in a systematic way the decision theory with imperfect information into the educational systems. The book will be helpful for teachers and students of universities and colleges, for managers and specialists from various fields of business and economics, production and social sphere.


[Full Book] Fuzzy Set And Its Extension

Fuzzy Set and Its Extension PDF
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Publisher: John Wiley & Sons
Author: Tamalika Chaira
Category : Technology & Engineering
Languages : en
Pages : 304

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Fuzzy Set And Its Extension

Fundamentals Of Fuzzy Sets by Tamalika Chaira, Fuzzy Set And Its Extension Books available in PDF, EPUB, Mobi Format. Download Fuzzy Set And Its Extension books, Provides detailed mathematical exposition of the fundamentals of fuzzy set theory, including intuitionistic fuzzy sets This book examines fuzzy and intuitionistic fuzzy mathematics and unifies the latest existing works in literature. It enables readers to fully understand the mathematics of both fuzzy set and intuitionistic fuzzy set so that they can use either one in their applications. Each chapter of Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set begins with an introduction, theory, and several examples to guide readers along. The first one starts by laying the groundwork of fuzzy/intuitionistic fuzzy sets, fuzzy hedges, and fuzzy relations. The next covers fuzzy numbers and explains Zadeh's extension principle. Then comes chapters looking at fuzzy operators; fuzzy similarity measures and measures of fuzziness; and fuzzy/intuitionistic fuzzy measures and fuzzy integrals. The book also: discusses the definition and properties of fuzzy measures; examines matrices and determinants of a fuzzy matrix; and teaches about fuzzy linear equations. Readers will also learn about fuzzy subgroups. The second to last chapter examines the application of fuzzy and intuitionistic fuzzy mathematics in image enhancement, segmentation, and retrieval. Finally, the book concludes with coverage the extension of fuzzy sets. This book: Covers both fuzzy and intuitionistic fuzzy sets and includes examples and practical applications Discusses intuitionistic fuzzy integrals and recent aggregation operators using Choquet integral, with examples Includes a chapter on applications in image processing using fuzzy and intuitionistic fuzzy sets Explains fuzzy matrix operations and features examples Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set is an ideal text for graduate and research students, as well as professionals, in image processing, decision-making, pattern recognition, and control system design.


[Full Book] Fuzzy Systems Engineering

Fuzzy Systems Engineering PDF
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Publisher: John Wiley & Sons
Author: Witold Pedrycz
Category : Technology & Engineering
Languages : en
Pages : 544

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Fuzzy Systems Engineering

Fundamentals Of Fuzzy Sets by Witold Pedrycz, Fuzzy Systems Engineering Books available in PDF, EPUB, Mobi Format. Download Fuzzy Systems Engineering books, A self-contained treatment of fuzzy systems engineering, offering conceptual fundamentals, design methodologies, development guidelines, and carefully selected illustrative material Forty years have passed since the birth of fuzzy sets, in which time a wealth of theoretical developments, conceptual pursuits, algorithmic environments, and other applications have emerged. Now, this reader-friendly book presents an up-to-date approach to fuzzy systems engineering, covering concepts, design methodologies, and algorithms coupled with interpretation, analysis, and underlying engineering knowledge. The result is a holistic view of fuzzy sets as a fundamental component of computational intelligence and human-centric systems. Throughout the book, the authors emphasize the direct applicability and limitations of the concepts being discussed, and historical and bibliographical notes are included in each chapter to help readers view the developments of fuzzy sets from a broader perspective. A radical departure from current books on the subject, Fuzzy Systems Engineering presents fuzzy sets as an enabling technology whose impact, contributions, and methodology stretch far beyond any specific discipline, making it applicable to researchers and practitioners in engineering, computer science, business, medicine, bioinformatics, and computational biology. Additionally, three appendices and classroom-ready electronic resources make it an ideal textbook for advanced undergraduate- and graduate-level courses in engineering and science.


[Full Book] Advanced Fuzzy Logic Technologies In Industrial Applications

Advanced Fuzzy Logic Technologies in Industrial Applications PDF
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Publisher: Springer Science & Business Media
Author: Ying Bai
Category : Technology & Engineering
Languages : en
Pages : 334

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Advanced Fuzzy Logic Technologies In Industrial Applications

Fundamentals Of Fuzzy Sets by Ying Bai, Advanced Fuzzy Logic Technologies In Industrial Applications Books available in PDF, EPUB, Mobi Format. Download Advanced Fuzzy Logic Technologies In Industrial Applications books, This book introduces a dynamic, on-line fuzzy inference system. In this system membership functions and control rules are not determined until the system is applied and each output of its lookup table is calculated based on current inputs. The book describes the real-world uses of new fuzzy techniques to simplify readers’ tuning processes and enhance the performance of their control systems. It further contains application examples.


[Full Book] An Introduction To Computing With Fuzzy Sets

An Introduction to Computing with Fuzzy Sets PDF
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Publisher: Springer Nature
Author: Witold Pedrycz
Category : Technology & Engineering
Languages : en
Pages : 283

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An Introduction To Computing With Fuzzy Sets

Fundamentals Of Fuzzy Sets by Witold Pedrycz, An Introduction To Computing With Fuzzy Sets Books available in PDF, EPUB, Mobi Format. Download An Introduction To Computing With Fuzzy Sets books, This book provides concise yet thorough coverage of the fundamentals and technology of fuzzy sets. Readers will find a lucid and systematic introduction to the essential concepts of fuzzy set-based information granules, their processing and detailed algorithms. Timely topics and recent advances in fuzzy modeling and its principles, neurocomputing, fuzzy set estimation, granulation–degranulation, and fuzzy sets of higher type and order are discussed. In turn, a wealth of examples, case studies, problems and motivating arguments, spread throughout the text and linked with various areas of artificial intelligence, will help readers acquire a solid working knowledge. Given the book’s well-balanced combination of the theory and applied facets of fuzzy sets, it will appeal to a broad readership in both academe and industry. It is also ideally suited as a textbook for graduate and undergraduate students in science, engineering, and operations research.


[Full Book] Mathematics Of Fuzzy Sets

Mathematics of Fuzzy Sets PDF
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Publisher: Springer Science & Business Media
Author: Ulrich Höhle
Category : Mathematics
Languages : en
Pages : 716

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Mathematics Of Fuzzy Sets

Fundamentals Of Fuzzy Sets by Ulrich Höhle, Mathematics Of Fuzzy Sets Books available in PDF, EPUB, Mobi Format. Download Mathematics Of Fuzzy Sets books, Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform for future research. Fourteen chapters are organized into three parts: mathematical logic and foundations (Chapters 1-2), general topology (Chapters 3-10), and measure and probability theory (Chapters 11-14). Chapter 1 deals with non-classical logics and their syntactic and semantic foundations. Chapter 2 details the lattice-theoretic foundations of image and preimage powerset operators. Chapters 3 and 4 lay down the axiomatic and categorical foundations of general topology using lattice-valued mappings as a fundamental tool. Chapter 3 focuses on the fixed-basis case, including a convergence theory demonstrating the utility of the underlying axioms. Chapter 4 focuses on the more general variable-basis case, providing a categorical unification of locales, fixed-basis topological spaces, and variable-basis compactifications. Chapter 5 relates lattice-valued topologies to probabilistic topological spaces and fuzzy neighborhood spaces. Chapter 6 investigates the important role of separation axioms in lattice-valued topology from the perspective of space embedding and mapping extension problems, while Chapter 7 examines separation axioms from the perspective of Stone-Cech-compactification and Stone-representation theorems. Chapters 8 and 9 introduce the most important concepts and properties of uniformities, including the covering and entourage approaches and the basic theory of precompact or complete [0,1]-valued uniform spaces. Chapter 10 sets out the algebraic, topological, and uniform structures of the fundamentally important fuzzy real line and fuzzy unit interval. Chapter 11 lays the foundations of generalized measure theory and representation by Markov kernels. Chapter 12 develops the important theory of conditioning operators with applications to measure-free conditioning. Chapter 13 presents elements of pseudo-analysis with applications to the Hamilton–Jacobi equation and optimization problems. Chapter 14 surveys briefly the fundamentals of fuzzy random variables which are [0,1]-valued interpretations of random sets.


[Full Book] Introduction To Fuzzy Sets Fuzzy Logic And Fuzzy Control Systems

Introduction to Fuzzy Sets  Fuzzy Logic  and Fuzzy Control Systems PDF
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Publisher: CRC Press
Author: Guanrong Chen
Category : Mathematics
Languages : en
Pages : 328

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Introduction To Fuzzy Sets Fuzzy Logic And Fuzzy Control Systems

Fundamentals Of Fuzzy Sets by Guanrong Chen, Introduction To Fuzzy Sets Fuzzy Logic And Fuzzy Control Systems Books available in PDF, EPUB, Mobi Format. Download Introduction To Fuzzy Sets Fuzzy Logic And Fuzzy Control Systems books, 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


[Full Book] Readings In Fuzzy Sets For Intelligent Systems

Readings in Fuzzy Sets for Intelligent Systems PDF
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Publisher: Morgan Kaufmann
Author: Didier J. Dubois
Category : Computers
Languages : en
Pages : 928

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Readings In Fuzzy Sets For Intelligent Systems

Fundamentals Of Fuzzy Sets by Didier J. Dubois, Readings In Fuzzy Sets For Intelligent Systems Books available in PDF, EPUB, Mobi Format. Download Readings In Fuzzy Sets For Intelligent Systems books, Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.


[Full Book] Introduction To Fuzzy Logic Using Matlab

Introduction to Fuzzy Logic using MATLAB PDF
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Publisher: Springer Science & Business Media
Author: S.N. Sivanandam
Category : Technology & Engineering
Languages : en
Pages : 430

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Introduction To Fuzzy Logic Using Matlab

Fundamentals Of Fuzzy Sets by S.N. Sivanandam, Introduction To Fuzzy Logic Using Matlab Books available in PDF, EPUB, Mobi Format. Download Introduction To Fuzzy Logic Using Matlab books, This book provides a broad-ranging, but detailed overview of the basics of Fuzzy Logic. The fundamentals of Fuzzy Logic are discussed in detail, and illustrated with various solved examples. The book also deals with applications of Fuzzy Logic, to help readers more fully understand the concepts involved. Solutions to the problems are programmed using MATLAB 6.0, with simulated results. The MATLAB Fuzzy Logic toolbox is provided for easy reference.


[Full Book] Fuzzy Logic In Action Applications In Epidemiology And Beyond

Fuzzy Logic in Action  Applications in Epidemiology and Beyond PDF
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Publisher: Springer Science & Business Media
Author: Eduardo Massad
Category : Medical
Languages : en
Pages : 347

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Fuzzy Logic In Action Applications In Epidemiology And Beyond

Fundamentals Of Fuzzy Sets by Eduardo Massad, Fuzzy Logic In Action Applications In Epidemiology And Beyond Books available in PDF, EPUB, Mobi Format. Download Fuzzy Logic In Action Applications In Epidemiology And Beyond books, Fuzzy Logic in Action: Applications in Epidemiology and Beyond, co-authored by Eduardo Massad, Neli Ortega, Laécio Barros, and Cláudio Struchiner is a remarkable achievement. The book brings a major paradigm shift to medical sciences exploring the use of fuzzy sets in epidemiology and medical diagnosis arena. The volume addresses the most significant topics in the broad areas of epidemiology, mathematical modeling and uncertainty, embodying them within the framework of fuzzy set and dynamic systems theory. Written by leading contributors to the area of epidemiology, medical informatics and mathematics, the book combines a very lucid and authoritative exposition of the fundamentals of fuzzy sets with an insightful use of the fundamentals in the area of epidemiology and diagnosis. The content is clearly illustrated by numerous illustrative examples and several real world applications. Based on their profound knowledge of epidemiology and mathematical modeling, and on their keen understanding of the role played by uncertainty and fuzzy sets, the authors provide insights into the connections between biological phenomena and dynamic systems as a mean to predict, diagnose, and prescribe actions. An example is the use of Bellman-Zadeh fuzzy decision making approach to develop a vaccination strategy to manage measles epidemics in São Paulo. The book offers a comprehensive, systematic, fully updated and self- contained treatise of fuzzy sets in epidemiology and diagnosis. Its content covers material of vital interest to students, researchers and practitioners and is suitable both as a textbook and as a reference. The authors present new results of their own in most of the chapters. In doing so, they reflect the trend to view fuzzy sets, probability theory and statistics as an association of complementary and synergetic modeling methodologies.


[Full Book] Oriental Philosophy

Oriental Philosophy PDF
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Publisher:
Author: Hoàng Phương Nguyẽ̂n
Category : Fuzzy sets
Languages : en
Pages :

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Oriental Philosophy

Fundamentals Of Fuzzy Sets by Hoàng Phương Nguyẽ̂n, Oriental Philosophy Books available in PDF, EPUB, Mobi Format. Download Oriental Philosophy books,


[Full Book] Fuzzy Sets And Interactive Multiobjective Optimization

Fuzzy Sets and Interactive Multiobjective Optimization PDF
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Publisher: Springer Science & Business Media
Author: Masatoshi Sakawa
Category : Mathematics
Languages : en
Pages : 308

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Fuzzy Sets And Interactive Multiobjective Optimization

Fundamentals Of Fuzzy Sets by Masatoshi Sakawa, Fuzzy Sets And Interactive Multiobjective Optimization Books available in PDF, EPUB, Mobi Format. Download Fuzzy Sets And Interactive Multiobjective Optimization books, The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including eco nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-making process re quires multiobjective approaches rather than single-objective. One ofthe major systems-analytic multiobjective approaches to decision-making under constraints is multiobjective optimization as a generalization of traditional single-objective optimization. Although multiobjective optimization problems differ from single objective optimization problems only in the plurality of objective functions, it is significant to realize that multiple objectives are often noncom mensurable and conflict with each other in multiobjective optimization problems. With this ob servation, in multiobjective optimization, the notion of Pareto optimality or effi ciency has been introduced instead of the optimality concept for single-objective optimization. However, decisions with Pareto optimality or efficiency are not uniquely determined; the final decision must be selected from among the set of Pareto optimal or efficient solutions. Therefore, the question is, how does one find the preferred point as a compromise or satisficing solution with rational pro cedure? This is the starting point of multiobjective optimization. To be more specific, the aim is to determine how one derives a compromise or satisficing so lution of a decision maker (DM), which well represents the subjective judgments, from a Pareto optimal or an efficient solution set.


[Full Book] Metric Spaces Of Fuzzy Sets

Metric Spaces of Fuzzy Sets PDF
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Publisher: World Scientific
Author: Phil Diamond
Category : Mathematics
Languages : en
Pages : 178

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Metric Spaces Of Fuzzy Sets

Fundamentals Of Fuzzy Sets by Phil Diamond, Metric Spaces Of Fuzzy Sets Books available in PDF, EPUB, Mobi Format. Download Metric Spaces Of Fuzzy Sets books, The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ?n. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis.This book is distinctly mathematical in its orientation and style, in contrast with many of the other books now available on fuzzy sets, which, although all making use of mathematical formalism to some extent, are essentially motivated by and oriented towards more immediate applications and related practical issues. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.


[Full Book] Introduction To Genetic Algorithms

Introduction to Genetic Algorithms PDF
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Publisher: Springer Science & Business Media
Author: S.N. Sivanandam
Category : Technology & Engineering
Languages : en
Pages : 442

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Introduction To Genetic Algorithms

Fundamentals Of Fuzzy Sets by S.N. Sivanandam, Introduction To Genetic Algorithms Books available in PDF, EPUB, Mobi Format. Download Introduction To Genetic Algorithms books, This book offers a basic introduction to genetic algorithms. It provides a detailed explanation of genetic algorithm concepts and examines numerous genetic algorithm optimization problems. In addition, the book presents implementation of optimization problems using C and C++ as well as simulated solutions for genetic algorithm problems using MATLAB 7.0. It also includes application case studies on genetic algorithms in emerging fields.


[Full Book] Fundamentals Of Computational Intelligence

Fundamentals of Computational Intelligence PDF
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Publisher: John Wiley & Sons
Author: James M. Keller
Category : Technology & Engineering
Languages : en
Pages : 378

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Fundamentals Of Computational Intelligence

Fundamentals Of Fuzzy Sets by James M. Keller, Fundamentals Of Computational Intelligence Books available in PDF, EPUB, Mobi Format. Download Fundamentals Of Computational Intelligence books, Provides an in-depth and even treatment of the three pillars of computational intelligence and how they relate to one another This book covers the three fundamental topics that form the basis of computational intelligence: neural networks, fuzzy systems, and evolutionary computation. The text focuses on inspiration, design, theory, and practical aspects of implementing procedures to solve real-world problems. While other books in the three fields that comprise computational intelligence are written by specialists in one discipline, this book is co-written by current former Editor-in-Chief of IEEE Transactions on Neural Networks and Learning Systems, a former Editor-in-Chief of IEEE Transactions on Fuzzy Systems, and the founding Editor-in-Chief of IEEE Transactions on Evolutionary Computation. The coverage across the three topics is both uniform and consistent in style and notation. Discusses single-layer and multilayer neural networks, radial-basis function networks, and recurrent neural networks Covers fuzzy set theory, fuzzy relations, fuzzy logic interference, fuzzy clustering and classification, fuzzy measures and fuzzy integrals Examines evolutionary optimization, evolutionary learning and problem solving, and collective intelligence Includes end-of-chapter practice problems that will help readers apply methods and techniques to real-world problems Fundamentals of Computational intelligence is written for advanced undergraduates, graduate students, and practitioners in electrical and computer engineering, computer science, and other engineering disciplines.


[Full Book] Fundamentals Of Statistics With Fuzzy Data

Fundamentals of Statistics with Fuzzy Data PDF
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Publisher: Springer
Author: Hung T. Nguyen
Category : Mathematics
Languages : en
Pages : 195

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Fundamentals Of Statistics With Fuzzy Data

Fundamentals Of Fuzzy Sets by Hung T. Nguyen, Fundamentals Of Statistics With Fuzzy Data Books available in PDF, EPUB, Mobi Format. Download Fundamentals Of Statistics With Fuzzy Data books, This book presents basic aspects for a theory of statistics with fuzzy data, together with a set of practical applications. Theories of fuzzy logic and of random closed sets are used as basic ingredients in building statistical concepts and procedures in the context of imprecise data, including coarse data analysis. The book aims at motivating statisticians to examine fuzzy statistics to enlarge the domain of applicability of statistics in general.