Customer Reviews

An Introduction to Fuzzy Logic for Practical Applications

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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.

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.

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.

After spending some time trying to grasp the concepts of fuzzy logic and fuzzy sets, I found this book. This is THE book to start if you want to get a quick introduction to what fuzzy logic is, and how to use fuzzy sets as a tool. I highly recommend this book if you are having problems following other books in fuzzy logic. There is an example for every concept that is introduced, making it really easy to follow and understand

This 136 page book provides a brief introduction to fuzzy logic and applications. However, I have to disagree with the comment that symbols are always defined when used, as many are not.

Also, I think the book may have suffered in translation, as there are quite a few errors, especially in the translation of formulas. For example, on page 27 is an incontrovertable mangling of De Morgan's laws. In other places, symbols are left out, subscripts and superscripts are inexplicably moved around, and shading for graphs and tables is mentioned many places in the text but mysteriously not present in the graphs and tables referred to.

Fortunately, Tanaka goes over the same topic from multiple prespectives, in most cases allowing the reader to figure out what is going on. As an introduction, this book would definitly have benefited from a table of symbols. However, overall, a good introduction to (or review of) the topic.

I started studying Fuzzy Logic without the help of anyone else trough this book, and I fully recommend it if this is your case.

The book gives simple examples to explain abstract terms, without being shallow. The mathematic rigorousness grows in a pattern that anyone is able to follow. Whenever some concept is shown to you, a simple example help you understand.

It's a little book with a lot in it. If you want to learn Fuzzy Logic from the scratch, this is the greatest start point that I know.

This book is an EXCELLENT book for teaching this subject.
Students can finally understand what is fuzzy logic and its notation.
It is short and sweet, with great examples, great pictures, great explanations.
Not difficult to read at all.
Actually, quite enjoyable to read for students.

It just has several typos, but thet are easy to detect as typos right away.

I purchased this book to gain enough information to read a technical paper. Fuzzy logic is new to my industry (petroleum) and my 1970's education did not provide any background. The book took less than an evening to absorb and provided more than enough understanding of the notation and basic operations that I was able to read my paper and start building an interest in deploying Fuzzy logic in my daily work. Other books are needed to fully apply the methodology. However, sufficient demonstration of basic fuzzy arithmetic was provided to know that 2 times 3 divided by 2 is not necessarily 3.

I shared the book with a mathematically oriented associate and she had similar experiances.

Overall, a great introduction with just enough information for a cursory review and enough detail to help determine need or interest for a more detailed presentation.

This book gives you an excellent introduction to Fuzzy Logic Concepts, Reasoning and Applications.

I am a Practitioner of Industrial Process Control, and was looking for a book to learn about Fuzzy Logic. The book did it in a simple way, with many examples and explanation for every topic to make even easier my introduction to this area.