Fuzzy Sets and Fuzzy Logic  (English, Paperback, Klir George J)

Fuzzy Sets And Fuzzy Logic: Theory And Applications is a comprehensive book that aims to help you understand the foundations of fuzzy set theory and fuzzy logic.

Summary Of The Book

In mathematical terms, fuzzy sets are defined as sets whose respective members have degrees of membership. Fuzzy logic works on probabilistic logic, and the stress here is on reasoning and approximation instead of definite and constant values. Fuzzy logic variables can take on values that range anywhere between 0 and 1, unlike binary sets that posses either true or false values. There have been several changes made to deal with the tricky theory of partial truth. The values here can range from completely true to completely false. The concept of fuzzy logic and fuzzy sets were introduced by Lotfi A. Zadeh in 1965.

Fuzzy Sets And Fuzzy Logic: Theory And Applications is an extended version of the bestselling book, Fuzzy Sets, Uncertainty and Information. It reveals the exceptional amount of improvement that has taken place in this field. The book focuses on giving the reader a thorough description of all the theoretical foundations of fuzzy set theory and fuzzy logic. The authors point out the vital and prominent applications of this area in mathematics. The book covers all the basic concepts like neural networks, rough sets and algorithms. The authors give ample examples to explain the theories, applications and methodologies mentioned in the book.

Part 1 of the book is more theoretical. It begins with comparisons of fuzzy sets and crisp sets. You will then learn about the various operations of fuzzy sets. Fuzzy relation equations, fuzzy arithmetic, possibility theory, fuzzy relations and fuzzy logic are all covered in this book. It will also give you an in-depth understanding of uncertainty based information. The second part is all about applications. This section covers pattern recognition, fuzzy decision making, fuzzy systems, engineering applications, approximate reasoning, fuzzy databases and information retrieval systems and miscellaneous applications. It also has an extensive index and bibliography coupled. There is no need of any previous knowledge of fuzzy logic or fuzzy sets to understand it.

About The Authors

George J. Klir is a computer scientist and professor. Some of his books are Fuzzy Sets, Uncertainty and Information, An Approach to General Systems Theory, Facets of Systems Science, and Cybernetic Modelling among others. Born in 1932, George Klir received an MS degree in the field of electrical engineering. He began teaching at the Institute of Computer Research in Prague in the 1960s. In 1964, he received a Doctorate in Computer Science from the Czechoslovak Academy of Sciences. George Klir is famous for his groundbreaking research on logic design, systems modeling, computer architecture, discrete mathematics, information theory, fuzzy sets and fuzzy logic. He is the author of over 16 books and has written over 300 articles.

Bo Yuan is a professor and an author. He has co-authored several books and has published and presented several papers like The Paradoxical Success Of Fuzzy Logic, Evolutionary Fuzzy C-Means Clustering Algorithm and Data Driven Identification of Key Variables. Bo Yuan is an Associate Professor of Computer Security at the Rochester Institute of Technology.