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Fuzzy Logic Applications in Computer Science and Mathematics. Edition No. 1

  • Book

  • 304 Pages
  • September 2023
  • John Wiley and Sons Ltd
  • ID: 5863795
FUZZY LOGIC APPLICATIONS IN COMPUTER SCIENCE AND MATHEMATICSTICS

The prime objective of developing this book is to provide meticulous details about the basic and advanced concepts of fuzzy logic and its all-around applications to different fields of mathematics and engineering.

The basic steps of fuzzy inference systems starting from the core foundation of the fuzzy concepts are presented in this book. The fuzzy theory is a mathematical concept and, at the same time, it is applied to many versatile engineering fields and research domains related to computer science. The fuzzy system offers some knowledge about uncertainty and is also related to the theory of probability. A fuzzy logic-based model acts as the classifier for many different types of data belonging to several classes.

Covered in this book are topics such as the fundamental concepts of mathematics, fuzzy logic concepts, probability and possibility theories, and evolutionary computing to some extent. The combined fields of neural network and fuzzy domain (known as the neuro-fuzzy system) are explained and elaborated. Each chapter has been produced in a very lucid manner, with grading from simple to complex to accommodate the anticipated different audiences. The application-oriented approach is the unique feature of this book.

Audience

This book will be read and used by a broad audience including applied mathematicians, computer scientists, and industry engineers.

Table of Contents

Preface xiii

1 Decision Making Using Fuzzy Logic Using Multicriteria 1
Panem Charanarur, Srinivasa Rao Gundu and J.Vijaylaxmi

1.1 Introduction 2

1.2 Fuzzy Logic 5

1.3 Decision Making 6

1.4 Literature Review 7

1.5 Conclusion 10

2 Application of Fuzzy Logic in the Context of Risk Management 13
Sudipta Adhikary and Kaushik Banerjee

2.1 Introduction 13

2.2 Objectives of Risk Management 14

2.3 Improved Risk Estimation 15

2.4 Threat at Quantification Matrix 17

2.5 Fundamental Definitions 18

2.6 Fuzzy Logic 19

2.7 Risk Related to Fuzzy Matrix 20

2.8 Conclusion 26

3 Use of Fuzzy Logic for Controlling Greenhouse Environment: Study Through the Lens of Web Monitoring 29
Kaushik Banerjee and Sudipta Adhikary

3.1 Introduction 29

3.2 Design (Hardware) 30

3.3 Programming Arduino Mega Board 31

3.4 Implementation of a Prototype 34

3.5 Results 35

3.6 Conclusion 37

4 Fuzzy Logics and Marketing Decisions 41
Mohammed Majeed

4.1 Introduction 41

4.2 Literature 42

4.3 Conclusion 46

4.4 Further Studies 47

5 A Method for Ranking Fuzzy Numbers Based on Their Value, Ambiguity, Fuzziness, and Vagueness 51
Sunayana Saikia and Rituparna Chutia

5.1 Introduction 51

5.2 Preliminaries 54

5.3 The Designed Method 56

5.4 Validate the Reasonableness of the Suggested Ranking Algorithm 68

5.5 Comparative Analysis and Numerical Examples 75

5.6 Application 87

5.7 Conclusions 94

6 Evacuation of Attributes to Translucent TNSET in Mathematics Using Rough Topology 99
Kala Raja Mohan, R. Narmada Devi, Nagadevi Bala Nagaram, Sathish Kumar Kumaravel and Regan Murugesan

6.1 Introduction 99

6.2 Basic Concepts of Rough Topology 100

6.3 Algorithm 102

6.4 Information System 102

6.5 Working Procedure 104

6.6 Conclusion 104

7 Design of Type-2 Fuzzy Controller for Hybrid Multi-Area Power System 107
Susmit Chakraborty, Arindam Mondal and Soumen Biswas

7.1 Introduction 108

7.2 Plant Model 108

7.3 Controller Design 109

7.4 Levenberg-Marquardt Algorithm 115

7.5 Optimization of Controller Parameters Using CASO Algorithm 116

7.6 Result and Analysis 116

7.7 Conclusion 121

8 Alzheimer's Detection and Classification Using Fine-Tuned Convolutional Neural Network 125
Anooja Ali, Sarvamangala D. R., Meenakshi Sundaram A. and Rashmi C.

8.1 Introduction 125

8.2 Literature Review 129

8.3 Methodology 133

8.3.1 Dataset 134

8.3.2 Pre-Processing 134

8.4 Implementation and Results 134

8.5 Conclusion 138

9 Design of Fuzzy Logic-Based Smart Cars Using Scilab 143
Josiga S., Maheswari R. and Subbulakshmi T.

9.1 Introduction 143

9.2 Literature Survey 145

9.3 Proposed Fuzzy Inference System for Smart Cars 149

9.4 Implementation Details and Results 155

9.5 Conclusion and Future Work 156

10 Financial Planning and Decision Making for Students Using Fuzzy Logic 159
G. Surya Deepan and T. Subbulakshmi

10.1 Introduction 159

10.2 Literature Review 161

10.3 System Architecture 163

10.4 Conclusion and Future Scope 169

11 A Novel Fuzzy Logic (FL) Algorithm for the Automatic Detection of Oral Cancer 173
M. Praveena Kiruba bai and G. Arumugam

11.1 Introduction 173

11.2 Image Enhancement 174

11.3 Gabor Transform 175

11.4 Image Transformation 175

11.5 Adaptive Networks: Architecture 176

11.6 Results and Discussions 177

11.7 Conclusion 177

12 A Study on Decision Making of Difficulties Faced by Indian Workers Abroad by Using Rough Topology 179
Nagadevi Bala Nagaram, R. Narmada Devi , Kala Raja Mohan, Regan Murugesan and Sathish Kumar Kumaravel

12.1 Introduction 179

12.2 Fundamental Idea of Rough Topology 182

12.3 Algorithm 183

12.4 Information System 183

12.5 Working Procedure 185

12.6 Conclusion 185

13 Case Study on Fuzzy Logic: Fuzzy Logic-Based PID Controller to Tune the DC Motor Speed 187
Devendra Kumar Somwanshi

13.1 Introduction 188

13.2 Literature Review 190

13.3 Design of Fuzzy-Based PID Controller 196

13.4 Experimental Work and Results Analysis 205

13.5 Conclusion and Future Scope 207

14 Application of Intuitionistic Fuzzy Network Using Efficient Domination 213
A. Meenakshi, J. Senbagamalar and A. Kannan

14.1 Introduction 213

14.2 Efficient Domination in Intuitionistic Fuzzy Graph (IFG) 215

14.3 Main Frame Work 217

14.4 Secret Key 219

14.5 Illustration 224

14.6 Conclusion 231

15 Analysis of Parameters Related to Malaria with Comparative Study on Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps 233
Regan Murugesan, Sathish Kumar Kumaravel, Kala Raja Mohan, Narmada Devi Rathinam and Suresh Rasappan

15.1 Introduction 233

15.2 Parameters of Malaria 235

15.3 Fuzzy Cognitive Map 235

15.4 Neutrosophic Cognitive Map 240

15.5 Comparison and Discussion 246

15.6 Conclusion 247

16 Applications of Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps on Analysis of Dengue Fever 249
Sathish Kumar Kumaravel, Regan Murugesan, Nagadevi Bala Nagaram, Suresh Rasappan and G. Yamini

16.1 Introduction 249

16.2 Parameters of Dengue 251

16.3 Fuzzy Cognitive Maps 251

16.4 Neutrosophic Cognitive Map 257

16.5 Comparison and Discussion 263

16.6 Conclusion 264

17 A Comprehensive Review and Analysis of the Plethora of Branches of Medical Science and Bioinformatics Based on Fuzzy Logic 267
Partha Sarker and Siddhartha Roy

17.1 Introduction 267

17.2 Previous Work 271

17.3 Fuzzy Logic in Medical Fields and Bioinformatics 271

17.4 Review of Published Work and In-Depth Analysis 273

17.5 Conclusion 273

References 277

Index 279

Authors

Rahul Kar Kalyani Mahavidyalaya, Nadia, West Bengal, India. Dac-Nhuong Le Haiphong University, Vietnam. Gunjan Mukherjee Brainware University, Kolkata, India. Biswadip Basu Mallik Institute of Engineering & Management, Kolkata, India. Ashok Kumar Shaw Budge Budge Institute of Technology, Kolkata, India.