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## IntechOpen Book Series Artificial Intelligence Volume 3

Constantin Volosencu is a professor at the "Politehnica" University of Timisoara, Department of Automation. He is the author of 10 books, four book chapters, more than 150 scientific papers published in journals and conference proceedings, and 27 patents. He is the editor of seven books, and manager of research grants. He is a member of the editorial boards of international journals, a former plenary speaker, a member of several scientific

committees, and chair at international conferences. He research is in the fields of control systems, electrical drives, power ultrasounds, fuzzy logic, neural networks, fault detection and diagnosis, sensor networks, and distributed parameter systems. He has developed electrical equipment for machine tools, spooling machines, high-power ultrasound processes and others, with homologation of 18 prototypes and 12 zero manufacturing series.

**Editor of Volume 3: Constantin Volosencu** "Politehnica" University from Timisoara, Romania

**Book Series Editor: Marco A. Aceves-Fernandez** Universidad Autonoma de Queretaro, Mexico

## Scope of the Series

Artificial Intelligence (AI) is a rapidly developing multidisciplinary research area that aims to solve increasingly complex problems. In today´s highly integrated world, AI promises to become a robust and powerful mean for obtaining solutions to previously unsolvable problems. This book series is intended for researchers and students alike, as well as all those interested in this fascinating field and its applications, in particular in areas related to the topics on which it is focused.

Contents

Section 1

Section 2

Spaces

Section 3

Section 4

Section 5

Methods

by Sy Dzung Nguyen

to Fuzzy Control Systems by Poli Venkata Subba Reddy

by Mustafa B. Babanli

by Constantin Volosencu

Preface III

Introduction 1

Chapter 1 3

Fuzzy Mathematics 11

Chapter 2 13

Adaptive Neuro-Fuzzy Inference Systems 25

Chapter 3 27

Inference Methods 53

Chapter 4 55

Expert Systems 75

Chapter 5 77

Introductory Chapter: Basic Properties of Fuzzy Relations

Some Topological Properties of Intuitionistic Fuzzy Normed

ANFIS: Establishing and Applying to Managing Online Damage

Some Methods of Fuzzy Conditional Inference for Application

Fuzzy Logic and Fuzzy Expert System-Based Material Synthesis

by Vakeel Ahmad Khan, Hira Fatima and Mobeen Ahmad

## Contents



Preface

This book promotes new research results in the field of advanced fuzzy logic applications. Treating information using fuzzy logic has developed over the past 50 years, and this mathematical theory is an interesting tool for researchers to solve complex scientific and technical problems. Fuzzy logic has found applications in various sectors of human activity, such as: industry, business, finance, medicine, and more. The book includes new research results in scientific fields such as: fuzzy mathematics, adaptive neuro-fuzzy systems, inference methods, fuzzy control, expert systems, dynamic fuzzy neural networks, and others. The authors have published worked examples and case studies resulting from their research in the field. Readers will have access to new solutions and answers to questions related to

emerging theoretical fuzzy logic applications and their implementation.

Array for Fuzzy Controllers.

The book has eight sections: Introduction, Fuzzy Mathematics, Adaptive Neuro-Fuzzy Inference System, Inference Methods, Expert Systems, Control of Electrical Systems, Fuzzy Logic Applications in Management, and Field-Programmable Gate

The book includes an introductory chapter that presents basic properties of fuzzy relations and seven main chapters that illustrate research in the section domains.

The chapters were edited and published following a rigorous selection process, with only a small number of the proposed chapters being selected for publication.

The introductory chapter aims to recall algebraic relations that describe fuzzy rule bases and fuzzy blocks as algebraic applications. Also, the fuzzy block may be

The second chapter includes a study on the convergence of sequence spaces with respect to intuitionistic fuzzy norms and their topological and algebraic properties. The third chapter focuses mainly on building ANFIS and its application to identifying the online bearing fault. A traditional structure of ANFIS as a data-driven model is shown. A recurrent mechanism depicting the relation between the processes of filtering impulse noise and establishing ANFIS from a noisy measuring database is presented. One of the typical applications of ANFIS related to managing online bearing fault is presented. The fourth chapter presents methods of conditional inference for fuzzy control systems. The fifth chapter presents an application of fuzzy logic and fuzzy expert systems in material synthesis methods. The datadriven approach is used to construct a fuzzy model. Fuzzy C-means clustering is used to derive fuzzy if-then rules from material data that describe material composition. The sixth chapter presents an example of how to use fuzzy logic in control of electrical systems, in conditions of incomplete information regarding the values of diagnostic parameters. The seventh chapter includes a fuzzy logic methodology for evaluating the causality of factors in organization management. The chapter formulates the problem of causal relations in a broad sense and analyzes the methods for its solution with an emphasis on socioeconomic aspects. Systems approach, comparative experiment, economic and mathematical modeling, and other general

described graph-analytically with transfer functions and graphs.
