Fuzzy Logic Theory And Applications: Part I And Part Ii

This unique compendium includes all the principal facets of fuzzy logic such as logical,fuzzy-set-theoretic,epistemic and relational. It is written by world renowned authors and will be a useful reference guide for academics, practitioners, graduates, and undergraduates in fuzzy logic and its applications.

Format: Hardback
Length: 612 pages
Publication date: 09 January 2019
Publisher: World Scientific Publishing Co Pte Ltd

Fuzzy logic has garnered significant attention in recent years, with numerous textbooks and monographs dedicated to exploring its various aspects. However, there remains a notable gap in the literature: a comprehensive and self-contained theory of fuzzy logic and its applications that encompasses all its fundamental principles. To address this need, Lofti Zadeh, widely recognized as the Father of Fuzzy Logic, and Rafik Aliev, esteemed pioneers in fuzzy logic and fuzzy sets, have collaborated on a groundbreaking compendium. This unique publication, written by these esteemed authors, presents a comprehensive and systematic exploration of fuzzy logic, encompassing its logical, fuzzy-set-theoretic, epistemic, and relational dimensions.

The book is organized into five chapters, each dedicated to a specific aspect of fuzzy logic. In the first chapter, the authors provide an introduction to fuzzy logic, defining its basic concepts, principles, and applications. They also discuss the historical development of fuzzy logic and its significance in various fields, such as mathematics, engineering, and computer science.

The second chapter delves into the logical aspects of fuzzy logic, exploring the principles of fuzzy reasoning, truth values, and the inference process. It introduces the concept of fuzzy sets, which are fundamental to fuzzy logic, and explains how they can be used to represent and manipulate uncertain information. The chapter also discusses the application of fuzzy logic in decision-making and problem-solving, highlighting its advantages over traditional logic.

The third chapter focuses on fuzzy-set-theoretic aspects of fuzzy logic, exploring the properties and operations of fuzzy sets. It introduces the concept of fuzzy membership, which measures the degree of resemblance between a fuzzy set and a given element, and discusses the formation and manipulation of fuzzy sets. The chapter also explores the application of fuzzy sets in pattern recognition, image processing, and other areas where uncertainty is prevalent.

The fourth chapter explores the epistemic aspects of fuzzy logic, focusing on the concept of fuzzy knowledge and its representation. It introduces the idea of fuzzy belief functions, which represent the degree of belief in a proposition, and discusses the inference process in fuzzy logic. The chapter also explores the application of fuzzy knowledge in decision-making and expert systems, highlighting its ability to handle uncertain and incomplete information.

The fifth chapter explores the relational aspects of fuzzy logic, focusing on the concept of fuzzy relations and their properties. It introduces the concept of fuzzy logic operators, such as the t-norm, s-norm, and max-norm, and discusses their applications in pattern recognition, decision-making, and other areas. The chapter also explores the application of fuzzy relations in social networks.

Throughout the book, theoretical problems are prominently illustrated and illuminated by numerous carefully worked-out and thought-through examples. These examples not only help to clarify the concepts presented but also provide practical insights into the practical applications of fuzzy logic.

This invaluable volume will be a valuable resource for academics, practitioners, graduates, and undergraduates interested in fuzzy logic and its applications. It serves as a comprehensive guide that covers all the principal facets of fuzzy logic, providing a solid foundation for further research and development in this field. Whether you are a beginner or an experienced professional, this book will provide you with the knowledge and tools you need to excel in fuzzy logic and its related areas.

In conclusion, Fuzzy Logic: A Comprehensive and Self-Contained Theory and Its Applications is a groundbreaking work that fills a significant gap in the literature. Written by world-renowned authors, Lofti Zadeh and Rafik Aliev, this book offers a comprehensive and systematic exploration of fuzzy logic, encompassing its logical, fuzzy-set-theoretic, epistemic, and relational dimensions. With numerous carefully worked-out and thought-through examples, it provides a solid foundation for further research and development in this field. Whether you are an academic, practitioner, graduate, or undergraduate, this book is a valuable resource that will help you excel in fuzzy logic and its related areas.

Weight: 1036g
Dimension: 159 x 237 x 34 (mm)
ISBN-13: 9789813238176