I recommend you just a single book particularly useful for beginners:

An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems by Merrie Bergman (2008)

Another reader if you are also interested in the concept of vagueness as such:

Understanding Vagueness: logical, philosophical and linguistic Perspective by Cintula & Fernmüller & Godo & Hájek (2011)

Good Luck

PHV

http://www.amazon.de/dp/0521881285/ref=rdr_ext_tmb

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Dear Sameer Alaabadi,

I found a simple and clear primer on fuzzy logic written by Mendel.

You can download it by using this link:

http://repository.ksu.edu.sa/jspui/bitstream/123456789/2294/1/research_12.pdf

The best book on Fuzzy Modeling and Control for everyone is:

Piegat A. 2001. Fuzzy Modeling and Control (Studies in Fuzziness and Soft Computing), Springer.

It contains 728 pages, 680 figures and 96 tables. It is understandable for everyone

http://www.amazon.com/Modeling-Control-Studies-Fuzziness-Computing/dp/3790813850#reader_3790813850

Thank you very much Pier Luigi Gentili

Please be aware that there is (still) a huge difference between Fuzzy Logic (FL) and Fuzzy Control (FC), although both have 'Fuzzy' in their name. Why? Simple reason:

FC is based on the seminal paper of L. Zadeh from 1965 and further work along these lines. It was quickly caught up by many people working in practical applications. It has a very strong 'engineering' flavor.

FL is based on the seminal paper of J. Goguen from 1968, but is actually much older as it is a continuation of studies in many-valued logics. After Goguen's paper it took 20-30 years before FL got renewed interest. Now it is part of mainstream logic. Therefore it has a strong 'logical reasoning' flavor.

You can do FC without being interested in FL and the other way around. For beginners this may be a little bit confusing, but personally I have no problem with it.

MATLAB software help for Fuzzy Logic Toolbox- on www.mathworks.com.

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Dear Paul,

The book, which I recommended, has the word 'control', but it contains also fuzzy logic. FL is firstly described in (Zadeh L., 1965). Yes, the term Fuzzy Logic is not quoted there, but Zadeh gives basic logic operations. In my opinion, FL and FC are two complementary issues. Very often, FC uses FL (for example inference block).

Wojcech: You are right in that FL and FC are in some sense complementary. The relationship between the two is subtle and may not be clear on first sight. You expressed it very well in your last sentence: "FC uses FL". It is a "use" relationship. In a recent discussion on LinkedIn I have formulated it in the way that Zadeh and most FL theorists following him explain it nowadays:

"Do you mean FL in the strict sense or FL in the broad sense? FL in the strict sense is many-valued logic with a strong emphasis on axiomatics, syntax, semantics and inference. FL in the broad sense is rather an applied engineering approach to inexact (=fiuzzy) measurement and control along the lines of Lofti Zadeh's Fuzzy Set Theory and its direct generalizations and extensions. FL-strict and FL-broad are only loosely coupled."

This distinction is well-known from most other disciplines, so there is nothing special about it with respect to FL and its applications. Let me give you an example from psychology in order to clarify it a little bit. Research psychologists have to learn a lot of statistics, because they develop theories which has to be verified by experiment or other empirical research methods. Now what psychologists learn about statistics is for the most part rather basic and in any case thought of as a tool to use. It's indeed a "use" relationship. Never you will find a research psychologist genuinely interested in the logical and mathematical theories of probability and statistical inference, and vice versa. That's the same difference as we have now in the field of many-valued (fuzzy) mathematics and logic and its engineering applications.

I had a quick look in the TOC of the book you recommended. I quite agree with you that it is a good introductory book on the use of Fuzzy Set Theory à la Zadeh in engineering applications. But it is *not* Fuzzy Logic in the strict sense, for the simple reason that FL in the strict sense doesn't deal with Fuzzy Sets in the first place. Look at several other books in the same series your book belongs to and you will find out what I mean.

Thank you very much for your note. Now, I understand what you mean. At first I didn't fully understand your note. Now, I see that our opinions are very closely. By the way, Gouhen in 1968 was a student of the professor Zadeh.

Please refer to the attached book.

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