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An Introduction to Fuzzy Logic for Practical Applications, by Kazuo Tanaka
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Fuzzy logic has become an important tool for a number of different applications ranging from the control of engineering systems to artificial intelligence. In this concise introduction, the author presents a succinct guide to the basic ideas of fuzzy logic, fuzzy sets, fuzzy relations, and fuzzy reasoning, and shows how they may be applied. The book culminates in a chapter which describes fuzzy logic control: the design of intelligent control systems using fuzzy if-then rules which make use of human knowledge and experience to behave in a manner similar to a human controller.
Throughout, the level of mathematical knowledge required is kept basic and the concepts are illustrated with numerous diagrams to aid in comprehension. As a result, all those curious to know more about fuzzy concepts and their real-world application will find this a good place to start.
- Sales Rank: #2325654 in Books
- Published on: 2007-10-24
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x .34" w x 6.00" l, .50 pounds
- Binding: Paperback
- 148 pages
Language Notes
Text: English (translation)
Original Language: Japanese
Most helpful customer reviews
4 of 4 people found the following review helpful.
Excellent
By Douglas A. Lefelhocz
You'll find one of the simpler introductions to fuzzy logic here. Unlike many more technical fuzzy logic books, much of the symbolism used gets explained. The diagrams of projection and cylindrical extension also help understand these notions in an intuitive manner. The book does have a slight error in that it claims a proof of a general theorem through the use of a single numerical example. But, the plethora of simple examples in this books make it a pleasure and an ease to read. You'll also find encoruagement if you have doubts about pursuing this field, as Niimura indicates that Zadeh had his original paper on fuzzy sets finished for two years prior to its publication, and it only got published, because he edited the journal.
2 of 2 people found the following review helpful.
Breezy Intro to Fuzzy Logic
By Ray Burkholder
I was impressed by the fact that most symobology used in the book is defined during its first use. There are a few symbols like 'sup' on page 38 that I'm still unclear about.
There are five basic chapters in the book:
1 Introduction
2 Fuzzy Set Theory
3 Fuzzy Relations
4 Fuzzy Reasoning
5 Fuzzy Logic Control
Chapter 1 is a brief two page intro to the concept. The chapter on Fuzzy Set Theory gets into the basics. I've read the descriptions of Fuzzy Logic in MathLab's Fuzzy Logic module and so was prepared for most what is in this chapter. As such, I'm still somewhat unclear as how Cartesion Products and Extension Principles are applicable to the whole concept of Fuzzy Logic.
In the chapter on Fuzzy Relations, further use of extensions is used along with the properties of composition. Simple matrix math is used in some cases to arrive at results in some of the examples.
The fourth chapter, which is about Fuzzy Reasoning, includes reasoning based upon Mamdani's Direct Method, Takagi & Sugeno's Fuzzy Modelling, and the Simplified Method. It is in this chapter where the earlier mechanisms of composition are utilizied. Defuzzification, which is final step of any fuzzy logic process, is lightly described with a brief reference to the standard centroid calculation.
The final chapter is light on formulas, and offers up a high level description of the superiority of fuzzy logic over PID controllers, and how the former can help the latter obtain better control in some situations.
After having taken a first read of this book, I'll have to go through it again to see if I can better relate Fuzzy Relations to the remainder of the book. In addition, now that I've got a better grasp on fuzzy symbology, I believe I'm ready to move on to the more heavy duty books of the subject area.
19 of 20 people found the following review helpful.
Best intro to fuzzy logic
By Ntsika Msimang
One thing frustrating with fuzzy logic books is that they are full of weird notation and have little or no adequate examples to illustrate the concepts. You won't find that problem with Tanaka. He takes you by the hand and shows you all the basics using easy to understand language. He provides enough examples that illustrate every concept. This book is very readable and I am willing to bet that an average high school student can find it accessible. It's that good.
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