Fuzzy set theory Books
MIT Press Category Theory for the Sciences The MIT Press
Book SynopsisAn introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences.Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines.Written in an engaging and straightforward style, and assuming little background in mathematics, the book is
£49.40
The University of Chicago Press FuzzySet Social Science
Book SynopsisIn this innovative approach to the practice of social science, Charles Ragin explores the use of fuzzy sets to bridge the divide between quantitive and qualitative methods. He argues that fuzzy sets allow a far richer dialogue between ideas and evidence in social research than previously possible.
£28.50
John Wiley & Sons Inc Fuzzy Logic
Book SynopsisOffering a new perspective on a growing field, the text explores the many hardware implications of fuzzy logic based circuits. As use of AI increases, so the VLSI area of circuits is becoming a growth subject. The text surveys fuzzy set theory before moving on to cover a range of nonstandard solutions for fuzzy logic VLSI circuits. An overview of future trends is included plus practical examples from the authors'' research which will enhance the reader''s understanding of the topic. This is the first book on hardware aspects of fuzzy systems which offers a mixture of classical work and the authors'' new perspective.Table of ContentsFuzzy Sets in Approximate Reasoning: A Personal View. FUZZY LOGIC CONTROL. Fuzzy Logic Control: A systematic Design and Performance Assessment Methodology. On the Compatibility of Fuzzy Control and Conventional Control Techniques. On the Crisp-Type Fuzzy Controller: Behaviour Analysis and Improvement. FUZZY LOGIC HARDWARE IMPLEMENTATIONS. Design Considerations of Digital Fuzzy Logic Controllers. Parallel Algorithm for Fuzzy Logic Controller. Fuzzy Flip-Flop. Design Automation of Fuzzy Logic Circuits. HYBRID SYSTEMS AND APPLICATIONS. Neuro-Fuzzy Systems: Hybrid Configurations. A Fuzzy Logic Approach to Handwriting Recognition. Index.
£245.66
John Wiley & Sons Inc Fuzzy Expert System Tools D3
Book SynopsisFuzzy set theory is a mathematical structure for representing uncertainty. Modern intelligent systems must combine knowledge based on techniques for gathering and processing information with methods of approximate reasoning. This enables an intelligent system to better emulate human decision-making in uncertain environments.Table of ContentsGetting Started. Fuzzy Set Theory. Possibility/Probability Consistency Principle. Knowledge Representation. Imprecision and Fuzzy Logic. Knowledge Processing. Knowledge in FEST. Inference Engine. The Fuzzy Inference Engine. Fuzzy Inference in FEST. References. Index.
£199.76
John Wiley & Sons Inc Comparative Statistical Inference
Book SynopsisStatistical inference is the process of drawing conclusions based upon the available data on the measurement of uncertainty of a defined event. It allows one to draw a conclusion or a generalization from the available data. , i.e. if there is smoke there is a good probability there is a fire.Table of ContentsIntroduction: Statistical Inference and Decision-making. An Illustration of the Different Approaches. Probability. Utility and Decision-making. Classical Inference. Bayesian Inference. Decision Theory. Other Approaches. Perspective. References. Index.
£191.66
John Wiley & Sons Inc Modeling and Control of Uncertain Nonlinear
Book SynopsisAn original, systematic-solution approach to uncertain nonlinear systems control and modeling using fuzzy equations and fuzzy differential equations There are various numerical and analytical approaches to the modeling and control of uncertain nonlinear systems. Fuzzy logic theory is an increasingly popular method used to solve inconvenience problems in nonlinear modeling.Modeling and Control of Uncertain Nonlinear Systems with Fuzzy Equations andZ-Numberpresents a structured approach to the control and modeling of uncertain nonlinear systems in industry using fuzzy equations and fuzzy differential equations. The first major work to explore methods based on neural networks and Bernstein neural networks, this innovative volume provides a framework for control and modeling of uncertain nonlinear systems with applications to industry. Readers learn how to use fuzzy techniques to solve scientific and engineering problems and understand intelligent contTable of ContentsList of Figures xi List of Tables xiii Preface xv 1 Fuzzy Equations 1 1.1 Introduction 1 1.2 Fuzzy Equations 1 1.3 Algebraic Fuzzy Equations 3 1.4 Numerical Methods for Solving Fuzzy Equations 5 1.4.1 Newton Method 5 1.4.2 Steepest Descent Method 7 1.4.3 Adomian Decomposition Method 8 1.4.4 Ranking Method 9 1.4.5 Intelligent Methods 10 1.4.5.1 Genetic Algorithm Method 10 1.4.5.2 Neural Network Method 11 1.4.5.3 Fuzzy Linear Regression Model 14 1.5 Summary 20 2 Fuzzy Differential Equations 21 2.1 Introduction 21 2.2 Predictor–Corrector Method 21 2.3 Adomian Decomposition Method 23 2.4 Euler Method 23 2.5 Taylor Method 25 2.6 Runge–Kutta Method 25 2.7 Finite Difference Method 26 2.8 Differential Transform Method 28 2.9 Neural Network Method 29 2.10 Summary 36 3 Modeling and Control Using Fuzzy Equations 39 3.1 Fuzzy Modeling with Fuzzy Equations 39 3.1.1 Fuzzy Parameter Estimation with Neural Networks 45 3.1.2 Upper Bounds of the Modeling Errors 48 3.2 Control with Fuzzy Equations 52 3.3 Simulations 59 3.4 Summary 67 4 Modeling and Control Using Fuzzy Differential Equations 69 4.1 Introduction 69 4.2 Fuzzy Modeling with Fuzzy Differential Equations 69 4.3 Existence of a Solution 72 4.4 Solution Approximation using Bernstein Neural Networks 79 4.5 Solutions Approximation using the Fuzzy Sumudu Transform 83 4.6 Simulations 85 4.7 Summary 99 5 System Modeling with Partial Differential Equations 101 5.1 Introduction 101 5.2 Solutions using Burgers–Fisher Equations 101 5.3 Solution using Wave Equations 106 5.4 Simulations 109 5.5 Summary 117 6 System Control using Z-numbers 119 6.1 Introduction 119 6.2 Modeling using Dual Fuzzy Equations and Z-numbers 119 6.3 Controllability using Dual Fuzzy Equations 124 6.4 Fuzzy Controller 128 6.5 Nonlinear System Modeling 131 6.6 Controllability using Fuzzy Differential Equations 131 6.7 Fuzzy Controller Design using Fuzzy Differential Equations and Z-number 135 6.8 Approximation using a Fuzzy Sumudu Transform and Z-numbers 138 6.9 Simulations 139 6.10 Summary 151 References 153 Index 167
£72.15
Nova Science Publishers Inc Fuzzy Control Systems
Book Synopsis
£146.24
World Scientific Publishing Co Pte Ltd Introduction To Control Systems, An (2nd Edition)
Book SynopsisThis significantly revised edition presents a broad introduction to Control Systems and balances new, modern methods with the more classical. It is an excellent text for use as a first course in Control Systems by undergraduate students in all branches of engineering and applied mathematics. The book contains: A comprehensive coverage of automatic control, integrating digital and computer control techniques and their implementations, the practical issues and problems in Control System design; the three-term PID controller, the most widely used controller in industry today; numerous in-chapter worked examples and end-of-chapter exercises. This second edition also includes an introductory guide to some more recent developments, namely fuzzy logic control and neural networks.Table of ContentsSystem representations; system response using differential equations; system stability and performance; frequency response analysis; state equations; state variable feedback; digital control; computng methods; three-term controllers.
£65.55
World Scientific Publishing Co Pte Ltd Metric Spaces Of Fuzzy Sets: Theory And
Book SynopsisThe 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 ℜn. 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.Table of ContentsFuzzy Sets; Spaces of Subsets of Rn; Compact Convex Subsets of Rn; Set Valued Mappings; Crisp Generalizations; The Space En; Metrics on En; Compactness Criteria; Generalizations; Fuzzy Set Valued Mappings of Real Variables; Fuzzy Random Variables; Computational Methods; Fuzzy Differential Equations; Optimization Under Uncertainty; Fuzzy Iterations and Image Processing.
£59.85
World Scientific Publishing Co Pte Ltd Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems:
Book SynopsisThis book consists of selected papers written by the founder of fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the founder of this field, but has also been the principal contributor to its development over the last 30 years, the papers contain virtually all the major ideas in fuzzy set theory, fuzzy logic, and fuzzy systems in their historical context. Many of the ideas presented in the papers are still open to further development. The book is thus an important resource for anyone interested in the areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well as their applications. Moreover, the book is also intended to play a useful role in higher education, as a rich source of supplementary reading in relevant courses and seminars.The book contains a bibliography of all papers published by Zadeh in the period 1949-1995. It also contains an introduction that traces the development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic, and fuzzy systems via his papers. The ideas range from his 1965 seminal idea of the concept of a fuzzy set to ideas reflecting his current interest in computing with words — a computing in which linguistic expressions are used in place of numbers.Places in the papers, where each idea is presented can easily be found by the reader via the Subject Index.
£238.50
World Scientific Publishing Co Pte Ltd Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems:
Book SynopsisThis book consists of selected papers written by the founder of fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the founder of this field, but has also been the principal contributor to its development over the last 30 years, the papers contain virtually all the major ideas in fuzzy set theory, fuzzy logic, and fuzzy systems in their historical context. Many of the ideas presented in the papers are still open to further development. The book is thus an important resource for anyone interested in the areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well as their applications. Moreover, the book is also intended to play a useful role in higher education, as a rich source of supplementary reading in relevant courses and seminars.The book contains a bibliography of all papers published by Zadeh in the period 1949-1995. It also contains an introduction that traces the development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic, and fuzzy systems via his papers. The ideas range from his 1965 seminal idea of the concept of a fuzzy set to ideas reflecting his current interest in computing with words — a computing in which linguistic expressions are used in place of numbers.Places in the papers, where each idea is presented can easily be found by the reader via the Subject Index.
£89.10
World Scientific Publishing Co Pte Ltd Introduction To Control Systems, An (2nd Edition)
Book SynopsisThis significantly revised edition presents a broad introduction to Control Systems and balances new, modern methods with the more classical. It is an excellent text for use as a first course in Control Systems by undergraduate students in all branches of engineering and applied mathematics. The book contains: A comprehensive coverage of automatic control, integrating digital and computer control techniques and their implementations, the practical issues and problems in Control System design; the three-term PID controller, the most widely used controller in industry today; numerous in-chapter worked examples and end-of-chapter exercises. This second edition also includes an introductory guide to some more recent developments, namely fuzzy logic control and neural networks.
£34.20
World Scientific Publishing Co Pte Ltd Fuzzy Topology
Book SynopsisFuzzy set theory provides us with a framework which is wider than that of classical set theory. Various mathematical structures, whose features emphasize the effects of ordered structure, can be developed on the theory. Fuzzy topology is one such branch, combining ordered structure with topological structure. This branch of mathematics, emerged from the background — processing fuzziness, and locale theory, proposed from the angle of pure mathematics by the great French mathematician Ehresmann, comprise the two most active aspects of topology on lattice, which affect each other.This book is the first monograph to systematically reflect the up-to-date state of fuzzy topology. It emphasizes the so-called “pointed approach” and the effects of stratification structure appearing in fuzzy sets.The monograph can serve as a reference book for mathematicians, researchers, and graduate students working in this branch of mathematics. After an appropriate rearrangements of the chapters and sections, it can also be used as a text for undergraduates.Table of ContentsLattices and operations on lattices; fuzzy topological spaces; operations on fuzzy topological spaces; convergence theory; connectedness; some properties related to gardinals; separation (I); separation (II); compactness; compactification; paracompactness; metrizability; uniformity; proximity; function spaces; relation between fuzzy topological spaces and locales.
£100.80
