Introduction to Fuzzy Logic using MATLAB

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1 S.N. Sivanandam, S. Sumathi and S.N. Deepa Introduction to Fuzzy Logic using MATLAB With 304 Figures and 37 Tables &j Springer

2 Contents 1 Introduction Fuzzy Logic Mat LAB - An Overview 6 2 Classical Sets and Fuzzy Sets Introduction Classical Set Operations on Classical Sets Properties of Classical Sets Mapping of Classical Sets to a Function Solved Examples Fuzzy Sets Fuzzy Set Operations Properties of Fuzzy Sets Solved Examples 23 3 Classical and Fuzzy Relations Introduction Cartesian Product of Relation Classical Relations Cardinality of Crisp Relation Operations on Crisp Relation Properties of Crisp Relations Composition Fuzzy Relations Cardinality of Fuzzy Relations Operations on Fuzzy Relations Properties of Fuzzy Relations Fuzzy Cartesian Product and Composition Tolerance and Equivalence Relations Crisp Relation 51

3 XII Contents Fuzzy Relation Solved Examples 53 4 Membership Functions Introduction Features of Membership Function Classification of Fuzzy Sets Fuzzification Membership Value Assignments Intuition Inference Rank Ordering Angular Fuzzy Sets Neural Networks Genetic Algorithm Inductive Reasoning Solved Examples 85 5 Defuzzification Introduction Lambda Cuts for Fuzzy Sets Lambda Cuts for Fuzzy Relations Defuzzification Methods Solved Examples Fuzzy Rule-Based System Introduction Formation of Rules Decomposition of Rules Aggregation of Fuzzy Rules Properties of Set of Rules Fuzzy Inference System Construction and Working of Inference System Fuzzy Inference Methods Mamdani's Fuzzy Inference Method Takagi-Sugeno Fuzzy Method (TS Method) Comparison Between Sugeno and Mamdani Method Advantages of Sugeno and Mamdani Method Solved Examples Fuzzy Decision Making Introduction Fuzzy Ordering Individual Decision Making Multi-Person Decision Making 153

4 Contents XIII 7.5 Multi-Objective Decision Making Fuzzy Bayesian Decision Method 155 Applications of Fuzzy Logic Fuzzy Logic in Power Plants Fuzzy Logic Supervisory Control for Coal Power Plant Fuzzy Logic Applications in Data Mining Adaptive Fuzzy Partition in Data Base Mining: Application to Olfaction Fuzzy Logic in Image Processing Fuzzy Image Processing Fuzzy Logic in Biomedicine Fuzzy Logic-Based Anesthetic Depth Control Fuzzy Logic in Industrial and Control Applications Fuzzy Logic Enhanced Control of an AC Induction Motor with a DSP Truck Speed Limiter Control by Fuzzy Logic Analysis of Environmental Data for Traffic Control Using Fuzzy Logic Optimization of a Water Treatment System Using Fuzzy Logic Fuzzy Logic Applications in Industrial Automation Fuzzy Knowledge-Based System for the Control of a Refuse Incineration Plant Refuse Incineration Application of Fuzzy Control for Optimal Operation of Complex Chilling Systems Fuzzy Logic Control of an Industrial Indexing Motion Application Fuzzy Logic in Automotive Applications Fuzzy Antilock Brake System Antilock-Braking System and Vehicle Speed Estimation Using Fuzzy Logic Application of Fuzzy Expert System Applications of Hybrid Fuzzy Expert Systems in Computer Networks Design Fuzzy Expert System for Drying Process Control A Fuzzy Expert System for Product Life Cycle Management : A Fuzzy Expert System Design for Diagnosis of Prostate Cancer The Validation of a Fuzzy Expert System for Umbilical Cord Acid-Base Analysis A Fuzzy Expert System Architecture Implementing Onboard Planning and Scheduling for Autonomous Small Satellite 313

5 XIV Contents 8.8 Fuzzy Logic Applications in Power Systems Introduction to Power System Control Fuzzy Logic in Control Fuzzy Logic Controller Automatic Generation Control Using Fuzzy Logic Controllers Fuzzy Pattern Recognition Multifeature Pattern Recognition Fuzzy Logic Projects with Matlab Fuzzy Logic Control of a Switched Reluctance Motor Motor Motor Simulation Current Reference Setting Choice of the Phase to be Fed Modelling and Fuzzy Control of DC Drive Linear Model of DC Drive Using PSB to Model the DC Drive Fuzzy Controller of DC Drive Results Fuzzy Rules for Automated Sensor Self-Validation and Confidence Measure Preparation of Membership Functions Fuzzy Rules Implementation FLC of Cart A Simple Fuzzy Excitation Control System (AVR) in Power System Stability Analysis Transient Stability Analysis Automatic Voltage Regulator Fuzzy Logic Controller Results Applied to a One Synchronous Machine System Fuzzy Logic Controller in an 18 Bus Bar System A Low Cost Speed Control System of Brushless DC Motor Using Fuzzy Logic Proposed System Fuzzy Inference System Experimental Result 402 Appendix A Fuzzy Logic in Matlab 409 References 419

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