Fuzzy-Logic Books

I have read many books on fuzzy control, I found this is the most logical and comprehensive. The most important feature of the book is the formulation of diverse varieties of fuzzy control methods. It presents the fuzzy control in a progressive and logical way. However,its mathematical notations and proof of theorems block up many readers'learning. It is easy to be lost in struggling with the mathematics, without knowing the rationale behind theorems. Intutitive explanations for formulas and notations are required. It would be perfect if it includes programming examples to show how to implement fuzzy controllers with popular computer languages, also, drill problems with solutions at the end of each chapter will benefit to readers.

Classical logic forces all actions to be described by a rigid sequence of two option rules. By applying enough such rules, it is possible to eventually reach a reasonable approximation to the problem in question. However, such a method is cumbersome at best, so in 1964, Lotfi Zadeh, a professor of electrical engineering, invented a new reasoning system base on imprecise rules. Since the values are now placed within specified ranges, the system was given the unfortunate name "fuzzy ." Eventually ignored and at times vilified by the academic community in the United States, fuzzy logic is now beginning to be widely used in commercial products.
In another instance of what seems to be the most common business theme of the decade of the '80s, it was Japanese industry that took the American ideas and made them commercially viable. Many products now incorporate fuzzy reasoning systems, with no end in sight regarding the spectrum of applications. The performance gains of fuzzy logic over other options is at times astounding.
Equally surprising is the simplicity of fuzzy reasoning. Most events in the human experience are not sharply demarcated. Night does not "fall," but slowly floats down like an aging helium balloon. Fuzzy systems mimic this by assigning a numeric value to qualifying words such as "very ," "slightly ," and "remotely ." The most common scale uses the range from zero to one inclusive. Since zero can be considered FALSE and one TRUE, classical logic is a limiting subset of fuzzy logic. For example, the phrase "very possible" could be assigned a truth value of 0.90, "slightly possible" a value of 0.05, and "remotely possible" a value of 0.005. Fuzzy OR then takes the largest value of the two variable, AND the minimum of the two and the negation is computed by taking one minus the fuzzy value.
This book introduces the basic notions of fuzziness, but concentrates more on the history as an ignored discipline and the recent commercial successes. It is amazing to learn that the vast majority of "fuzzy thinkers" are found in Asia. Comparisons between the differences in Western and Eastern philosophy are made in an attempt to explain this. For example, the Japanese language is inherently much more vague than western languages.
If you are interested in learning the first notions of fuzzy reasoning, this book is a good non-technical place to start. And if the applications continue to grow, that interest may become a required taste.

Published in Journal of Recreational Mathematics, reprinted with permission.

Sanchez suggests that in order to build out the Semantic Web, the use of fuzzy logic will be inevitable. The Semantic Web is an attempt to use primarily automated methods, that mostly still have to be devised, to "understand" web pages. The problem is that these pages are geared towards human wetware comprehension. And pages are often badly cast, with typos and just different uses of the same terminology. Due to the impreciseness of any human written language.

To analyse these, the papers in the book offer fuzzy approaches. Instead of using binary valued logic. A very promising direction that may prove fruitful.

The book also contains a keynote paper by Lotfi Zadeh, the founder of fuzzy logic. This paper looks at the search problem. One which has already made Google into one of the great computer companies. Zadeh considers how searching can be improved, beyond the now standard link analysis pioneered by Google.

A surprising thing about this book is that it appears to be the first to use fuzzy logic in chemistry. Given that it was published in 1997, that seems rather late, since fuzzy logic was well established in computing and electric engineering in the 1980s.

Ah, but better late than never. Since most chemists have never dealt with fuzzy logic, the editor chose the wise step of having several research chemists write the chapters. Hopefully, this will ease acceptance of the method amongst chemists.

The subjects of the chapters tend to be hard, unsurprisingly. No softball simple textbook examples. Instead, we deal with issues like determining the shape of a large molecule, or the design of a drug.

A textbook for graduadte students or anyone who has already a good background in classical measure theory and is interested in nonadditive measures and nonadditive integrals. Although the necessary background is included in the second chapter, it is clear that a detailed study of "crisp" measures is necessary before reading this book. Although going deep into quite advanced topics the authors still keep the stutent's needs in mind - each chapter is followed by well chosen exercises. The appendices E (New Directions in Fuzzy Measure Theory) and F (Representative Applications of F.M.T.) show the possibility of next research and may be valuable for researchers and postgraduate students.

The book explains the principles of fuzzy sets and fuzzy relational systems from the beginning. The book is well-written and I recommend it to everyone interested in fuzzy sets and fuzzy relations, both for introductory course and for advanced material.
It starts with an overview oh history and the underlying philosophy of fuzzy modeling. Then, the author somes naturally to the scales and structures of truth degrees. The main emphasis is on fuzzy relations and various operations with fuzzy relations. An introduction as well as advanced material on general fuzzy relations is the content of the main chapter of the book. Particular types of fuzzy relations (like fuzzy equivalence, fuzzy order) and special topics (de-composition of fuzzy relations, fuzzy relational equations, fuzzy conceptual structures) are treated in special chapters.

A hugely comprehensive summation of the entire field of fuzzy systems. Starting at the conceptual basis with a detailed exposition of the theory. You should already have the equivalent of at least two years of undergraduate courses in statistics and probability to follow the exposition.

Graduate students and researchers in the field would benefit immensely from having this series close at hand. Aside from the theory, the other virtue of the series is a huge description of the applications, from pure research to industrial contexts. The breadth shows the importance of fuzzy sets. Even if you are concerned with only one particular application, by scanning this series to see how fuzzy sets were used in other contexts, you may be able to abstract inspiration and detailed ideas that can be used in your field.

Along these lines, the series shows the prominent researchers using fuzzy sets. You can use this as a starting point into the Citation Indices to find the latest published work.

The book sits at the intersection of two very fruitful areas of research - on genetic algorithms and on fuzzy logic. For the latter, you may want to note that one of the editors, Zadeh, is world renowned as its inventor.

Naturally, the technical background of the book is very strong. The text demonstrates that the two fields are very compatible. Effectively, the use of one can reinforce the other in efficacy.

The only "problem" with the book is its advanced nature. Ideally, you should already be experienced in at least one of these fields. If you are new to both, then consider boning up on another text first.

This book covers both theoretical and practical aspects of intelligent systems and soft computing in nuclear science and industry. As a researchers who is not in nuclear engineering, I find it is useful to read.

I need this book because it is importante with me. thank you kalaf