This book covers the introduction, theory, development and applications of type-2 fuzzy logic systems, which represent the current state-of-the-art in various domains such as control applications, power plants, health care, image processing, mathematical applications etc. The book is also rich in discussing different applications in order to give the researchers a flavor of how type-2 fuzzy logic is designed for different types of problems. Type-2 fuzzy logic systems are now used extensively in engineering applications for many purposes. In simple language, this book covers the practical use of type-2 fuzzy logic and its optimization through different training methods. Furthermore, this book maintains the relationship between mathematics and practical implementations in the real world. This book chapter also contains the proper comparisons with available literature work. It shows that the presented enhanced techniques have better results. This book would serve as a handy reference guide for a variety of readers, primarily targeting research scholars, undergraduate and postgraduate researchers and practicing engineers working in Type-2 fuzzy logic systems and their applications.
Author(s): Oscar Castillo, Anupam Kumar
Series: Studies in Fuzziness and Soft Computing, 425
Publisher: Springer
Year: 2023
Language: English
Pages: 271
City: Cham
Preface
Contents
About the Editors
Application of Interval Type-2 Fuzzy Logic Control Approach to the Lower-Limb Exoskeleton
1 Introduction
2 Mathematical Representation of a Lower-Limb Exoskeleton
3 Controller Strategy
3.1 An Interval Type-2 Fuzzy Logic PID Controller (IT2-FLC-PID)
3.2 Cuckoo Search Algorithm (CSA)
4 Results and Discussions
5 Conclusions
References
A Simplified Model of an Interval Type-2 Takagi-Sugeno Fuzzy PID Controller using One-Dimensional Input Space
1 Introduction
2 PID Controller: Conventional and Fuzzy
2.1 Fuzzification
2.2 TS Rule Base
2.3 Input Space
2.4 Type Reduction and Defuzzification
3 Controller Structure
3.1 Properties
4 Simulation Study
5 Discussions and Conclusions
References
Fractional Order Interval Type-2 Fuzzy Logic Controller
1 Introduction
2 Interval Type-2 Fuzzy Logic Controller
2.1 Oustaloup Recursive Approximation
2.2 Fractional Order PID Controller
2.3 Interval Type-2 Fractional Order Fuzzy PD+I Controller
3 Case Study
3.1 Influence of Fractional Order λ and µ on the IT2FOFPD+I Controller
3.2 Performance Comparison of the Proposed Controller for Fractional Order Plant
3.3 Conclusions
References
Artificial Bee Colony Optimized Precompensated Interval Type-2 Fuzzy Logic Controller for a Magnetic Levitation System
1 Introduction
2 Mathematical Analysis of Magnetic Levitation System
3 Two-Layered Interval Type-2 Fuzzy Logic Controller
4 A Brief on Artificial Bee Colony
4.1 Initialization of Phase
4.2 Employee Bee Phase
4.3 Onlooker Bee Phase
4.4 Scout Bee Phase
5 Simulation Results
6 Conclusions
References
Application of Type-2 Fuzzy Logic Controllers in Renewable Energy Systems
1 Introduction
2 Control Scheme
3 PI/PID Controller
4 Type-1 Fuzzy Logic Controller (Type-1 FLC)
5 Proposed Control Scheme with Type-2 FLC
6 Type-2 FLC Design
7 Simulations and Results
8 Fault on 25 kV System
9 Remote Fault on 120 kV System
10 Conclusion
References
Tuning of Interval Type-2 Fuzzy Precompensated PID Controller: GWO-ABC Algorithm Based Constrained Optimization Approach
1 Introduction
2 Optimization Algorithm and Type-2 FLC
2.1 GWO-ABC Algorithm
2.2 Features of Type-2 FLC
3 Controller Design and Optimization Method
3.1 Design of the Proposed IT2FP-PID Controller
3.2 Proposed Methodology for Optimization of IT2FP-PID Controller
3.3 The Controller Implementation on Robotic Manipulator
4 Simulation Results and Analysis
4.1 Deriving Objective Function
4.2 Experimental Settings
4.3 Results and Discussion
5 Robustness Analysis
5.1 Analysis of Impact of Model Uncertainties
5.2 Analysis of Impact of External Disturbances
5.3 Analysis of Impact of Random Feedback Noise
6 Conclusions
References
Design of Type 2 Fuzzy Controller for OWC Power Plant
1 Introduction
2 Modeling of OWC Plant
2.1 Wave Model and Chamber Dynamics
2.2 Wells Turbine Dynamics
2.3 DFIG Dynamics
3 Design of MPPT and T2FLC Algorithm
3.1 Design of MPPT Algorithm
3.2 Design of T2FLC Algorithm
4 Results and Discussion
4.1 Performance of MPPT Algorithm
4.2 Performance of T2FLC
5 Conclusions
References
Intuitionistic Type-II Fuzzy Logic-Based Inference System and Its Realistic Applications to the Medical Field
1 Introduction
2 Basic Preliminaries
2.1 Type-II Fuzzy Set (Ty(II))
2.2 Intuitionistic Type-II Fuzzy Set (IFTy(II))
3 Proposed Algorithm for the Intuitionistic Type-II Fuzzy Logic Based Model
4 Mathematical Formulation of the Problem
5 Proposed Fuzzy Inference System
6 Data Collection Process
7 Intuitionistic Fuzzy Rules for the Proposed Intuitionistic Type-II Fuzzy Inference System
8 Numerical Computation
9 Conclusion
References
An Enhanced Internet of Things Enabled Type-2 Fuzzy Logic for Healthcare System Applications
1 Introduction
2 Applications of Internet of Things and Type-2 Fuzzy Logic in Healthcare Systems
3 The Challenges of the Internet of Things and Type-2 Fuzzy Logic in Healthcare Systems
4 The Proposed Internet of Things-Based Enabled Type-2 Fuzzy Logic Framework
4.1 The Dataset Used for the Evaluation of the Proposed Model
4.2 Performance Evaluation Metrics
5 Directions of Future Research
6 Conclusion
References
Artificial Neural Network Based Type-2 Fuzzy Optimization for Medical Diagnosis
1 Introduction
2 Basic Concepts
2.1 Type-2 Fuzzy Set
2.2 Standard Operations on Type-2 Fuzzy Set
2.3 Artificial Neural Network (ANN)
2.4 Uncertainty in Medical Diagnosis
3 Proposed Type-2 Fuzzy Set-Based Systems
3.1 Architecture of Proposed Type-2 Neuro Fuzzy System
3.2 Architecture of Proposed System
4 Algorithm of the Proposed System
5 Data Collection
6 Fuzzy Rules
7 Numerical Computation
8 Conclusion
References
A Survey on Type-2 Fuzzy Logic Systems in Healthcare
1 Introduction
1.1 Fuzzy Logic Versus Boolean Logic System
1.2 T-1 FLS Versus T-2 FLS
1.3 Need for T-2 FLS
2 Methodology of Diagnosing Disease Using T-2 FL
2.1 Type-2 Fuzzy Systems
2.2 Operations on T-2 FL
3 Type Reduction
3.1 Centroid Type Reduction
3.2 Height Type Reduction
3.3 General and Interval T-2 FLS
4 T-2 FL Techniques in the Development of the Medical Field
4.1 T-2 Fuzzy Rule-Based System and Its Role in Diagnosis of Spinal Cord Disorders
4.2 T-2 Fuzzy Neural Systems
4.3 T-2 Fuzzy Expert System
5 Future Scopes
6 Conclusions
References
Type-2 Fuzzy Set Approach to Image Analysis
1 Introduction
1.1 Soft Computing Approaches in Image Processing
2 Type 2 Fuzzy Set- Notation and Terminology
3 Type-2 Fuzzy on Image Contouring
4 Proposed Method by Type-2 Fuzzy Set
5 Experimental Results
6 Conclusion
References
Non-iterative Wagner-Hagras General Type-2 Mamdani Singleton Fuzzy Logic System Optimized by Central Composite Design in Quality Assurance by Image Processing
1 Introduction
1.1 GT-2 Literature
1.2 Problems on Image Acquisition and Processing
2 Materials and Methods
2.1 Type-2 Fuzzy System
2.2 General Type -2 (GT-2)
2.3 Interval Type-2 Singleton Fuzzy Logic System (IT2 SFLS)/CCD Model
3 Theory and Calculation
3.1 Proposal
4 Results
5 Discussion
6 Conclusions
References
Type-2 Neutrosophic Fuzzy Bimatrix Games Based on a New Distance Measure
1 Introduction
2 Preliminaries
3 Aggregation Operator of T2NFS
4 Novel Distance Measure and Similarity Index of T2NFSs
4.1 Normalized Euclidean Distance
4.2 Similarity Index of T2NFSs
4.3 Ranking Order of T2NFSs
5 Bimatrix Game with Type-2 Neutrosophic Payoffs
6 Numerical Illustration
6.1 An Application to Mitigate Environmental Pollution
7 Conclusion
References
Discouraged Arrivals Queueing System in Interval Valued Type-2 Fuzzy Environment
1 Introduction
2 Preludes
3 Queue Formation
4 Centroid of Centroids Fuzzy Ordering Method—Algorithm
5 Illustration
6 Conclusion
References
Extension of Fuzzy Principal Component Analysis to Type-2 Fuzzy Principal Component Analysis
1 Introduction
2 PCA
2.1 The Main Steps of the PCA Algorithm
3 Type 1 Fuzzy PCA
3.1 The Steps for the T1FPCA
4 Type 2 Fuzzy PCA
4.1 The Steps for the T2FPCA
5 Numerical Comparison of T1FPCA to T2FPCA
6 Conclusion
References
