Product Description
This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. Some important systems of real-valued propositional and predicate calculus are defined and investigated. The aim is to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed formal foundations and that most things usually named `fuzzy inference' can be naturally understood as logical deduction.
There are two main groups of intended readers. First, logicians: they can see that fuzzy logic is indeed a branch of logic and may find several very interesting open problems. Second, equally important, researchers involved in fuzzy logic applications and soft computing. As a matter of fact, most of these are not professional logicians so that it can easily happen that an application, clever and successful as it may be, is presented in a way which is logically not entirely correct or may appear simple-minded. (Standard presentations of the logical aspects of fuzzy controllers are the most typical example.) This fact would not be very important if only the bon ton of logicians were harmed; but it is the opinion of the author (who is a mathematical logician) that a better understanding of the strictly logical basis of fuzzy logic (in the usual broad sense) is very useful for fuzzy logic appliers since if they know better what they are doing, they may hope to do it better. In addition, a better mutual understanding between (classical) logicians and researchers in fuzzy logic, promises to lead to deeper cooperation and new results. ... Read more

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Hajek's Metamathematics of Fuzzy Logic
This is the best book on fuzzy logic that I have ever seen.Hajek and Medvedev present the latest results up to 1996 including the remarkable comparison of fuzzy logic with probability and logic.I have recentlyextended his results by proving that logic-based probability (LBP) given byP(A-->B) = 1 - P(A) + P(AB) where AB is the intersection or conjunctionof A and B is more general than modal logic FP(RPL with productconjunction) because the conditional probability P(B/A) is related toP(A-->B) by P(A-->B) - 1 + P(A) = P(AB) = P(B/A)P(A) and replacingP(AB) and P(B/A) everywhere by P(A-->B) yields a more general logicbecause P(A-->B) is defined even when P(A) is 0, unlike P(B/A).Iespecially recommend chapter 8, Generalized Quantifiers and Modalities,which discuss crisp and fuzzy "probably" and "many" ,chapter 3 which discusses Lukaciewicz propositional logic (which is closelyrelated to LBP)and Rational Pavelka Logic (RPL) which is an extension ofLukaciewicz's logic.Chapter 1 is important for preliminaries and chapter2 covers many-valued logics.The reader not well versed in logic andmathematics should hire a reputable consultant or tutor to translate thebook into mostly ordinary English (which can be done, at the loss of somerigor).This is because fuzzy logic is entering into everything nowadays,from computers to robots to engineering and social sciences.Multivaluedlogics, which were for so long criticized (together with fuzzy logics) bycritics except some at the University of Vienna and similar places, turnout to have important applications and properties.(I must admit that whenI was working for the CSE (Center for the Study of Evaluation) at UCLA inthe 1970s, I recommended against researching fuzzy logic, which was one ofmy worst decisions. I thought that it was insufficiently rigorous in termsof information/knowledge.) ... Read more

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Customer Reviews (2)

This is the best response to fuzzy logic?
Wow, what a disappointment this book is!First, it is quite pricey considering it is simply a collection of Haack's papers that have been published in various journals; one would expect better editing and perhaps even a glossary but this simply copies the papers verbatim.

For those who are beginners in formal logic or who have been out of the field for a while you will likely have problems beginning in the first chapter.Who remembers the definition of "wff"?

No, Haack should have completely rewritten the papers to make the ideas and arguments approachable for all readers of this book or at least she should have included something like "intended for the graduate level philosophy student" to make her intention clear.The book needs expansion of ideas beginning with some basics as well as some "niceties" such as a glossary of acronyms and some good editing.

That said, the basic premise of the book is rather a sad statement on the present level of thinking inside formal logic.Haack quite plainly states "I do not beleve truth comes in degrees"...Indeed.From a scientific/mathematical/engineering background, I find that quite a loaded statement and indicative of a completely closed pre-postmodernist mind.

Considering the work done in mathematics, computing and science since Godel by people like Turing, Chaitin and Prigogine showing the inconsistencies that may be found at the core of formal Aristotelian-based logic and its derivatives perhaps Haack should leave her foxhole.Yes, there is no reason to keep defending formal logic's shortcomings has long since disappeared along with Newton's view of the universe.

In the end, I would highly recommend anyone thinking about purchasing this book to consider the validity of "truth does not come in degrees" and then go and buy "Fuzzy Set Theory" and Perlovsky's latest.

Postmodernist Logic
One of the most interesting thing about deviant logic is its widespreaddismissal by the academic community despite the widespread application offuzzy logic to home appliances and engineering devices and other aspects.Susan Haack has addressed the lacunae admirably in this wonderful book andshe deserves every kudos for it. It is pitched at a not-too-technical leveland should appeal to all layman and also the academics. ... Read more

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Presents a number of applications of fuzzy control clustered into three parts: tutorials, surveys on advanced methodologies, and applications. ... Read more

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This book presents 14 rigorously reviewed revised papers selected from more than 50 submissions for the 1994 IEEE/ Nagoya-University World Wisepersons Workshop, WWW'94, held in August 1994 in Nagoya, Japan. The combination of approaches based on fuzzy logic, neural networks and genetic algorithms are expected to open a new paradigm of machine learning for the realization of human-like information processing systems. The first six papers in this volume are devoted to the combination of fuzzy logic and neural networks; four papers are on how to combine fuzzy logic and genetic algorithms. Four papers investigate challenging applications of fuzzy systems and of fuzzy-genetic algorithms. ... Read more

Customer Reviews (1)

fuzzy seloution
i like solve any problem with fuzzy thought. i like this method. i like every one think about this subject. ... Read more

Product Description

This book introduces a dynamic, on-line fuzzy inference system. In this system membership functions and control rules are not determined until the system is applied and each output of its lookup table is calculated based on current inputs. The book describes the real-world uses of new fuzzy techniques to simplify readers’ tuning processes and enhance the performance of their control systems. It further contains application examples.

Product Description
This book attempts to present some current research progress and results on the interplay of fuzzy logic and chaos theory. More specifically, this book includes a collections of some state-of-the-art surveys, tutorials, and application examples written by some experts working in the interdisciplinary fields overlapping fuzzy logic and chaos theory. The content of the book covers fuzzy definition of chaos, fuzzy modeling and control of chaotic systems using both Mamdani and Takagi-Sugeno models, fuzzy model identification using genetic algorithms and neural network schemes, bifurcation phenomena and self-referencing in fuzzy systems, complex fuzzy systems and their collective behaviours, as well as some applications of combining fuzzy logic and chaotic dynamics, such as fuzzy-chaos hybrid controllers for nonlinear dynamic systems, and fuzzy-model-based chaotic cryptosystems. This book can serve as a handy reference for researchers working in the interdisciplines related, among others, to both fuzzy logic and chaos theory. ... Read more

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Fuzzy logic is a relatively new concept in science applications. Hitherto, fuzzy logic has been a conceptual process applied in the field of risk management. Its potential applicability is much wider than that, however, and its particular suitability for expanding our understanding of processes and information in science and engineering in our post-modern world is only just beginning to be appreciated.

Written as a companion text to the author’s earlier volume "An Introduction to Fuzzy Logic Applications", the book is aimed at professional engineers and students and those with an interest in exploring the potential of fuzzy logic as an information processing kit with a wide variety of practical applications in the field of engineering science and develops themes and topics introduced in the author’s earlier text.

Product Description
This book deals with fuzzy relational systems, i.e. withsystems of fuzzy relations defined on a set. Fuzzy relational systemsrepresent mathematical framework for fuzzy relational modeling whichis the most successful part of fuzzy logic. The book deals withfoundational aspects of fuzzy relational systems. It starts (Chapter2) with motivations and discussions about fuzzy approach. The resultof this are some requirements for the structures of truth values forfuzzy logic. These structures are analyzed in subsequent sections.Chapter 3 is a key one and develops a general theory of fuzzyrelational systems, paying special attention to issues which aredegenerate in classical "non-fuzzy" case. Chapter 4 deals with binaryfuzzy relations and particularly with similarity and order, two mostfrequently used types of binary relations. Chapter 5 deals with binaryfuzzy relations (interpreted as fuzzy relations between a set ofobjects and a set of attributes) and formal analysis of suchrelations. Chapter 6 focuses on the problem of composition anddecomposition of binary fuzzy relations. Chapter 7 containsmiscellaneous topics: fuzzy closure operators, similarity spaces,selected applications, and a formal deductive system of fuzzy logic.Each Chapter is closed by bibliographical remarks. The book contains abibliography and an index of key terms. The book provides a generalframework for dealing with fuzzy relational systems and brings severalnew results. ... Read more

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Review of Fuzzy Relational Systems
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. ... Read more

Product Description
Fuzzy sets and fuzzy logic are powerful mathematical tools for modelling and controlling uncertain systems in industry, humanity and nature; they are facilitators for approximate reasoning in decision making in the absence of complete and precise information. Their role is significant when applied to complex phenomena not easily described by traditional mathematics. The text provides an introductory course (with examples and problems), which brings in a systematic way fuzzy sets and fuzzy logic into the educational university and college system. It is designed to serve as a basic text for introducing engineers and scientists from various fields to the theory of fuzzy sets and fuzzy logic, thus enabling them to initiate projects and make applications. ... Read more

Customer Reviews (1)

Beautiful Introduction
I find the approach in this book to fuzzy logic interesting, useful, simple, and beautiful.Starting with something like interval numbers is almost certainly the best way to start a fuzzy logic text.It presents a simple example that is very easily understood and allows one to see what differentiates fuzzy logic from other multi-valued logics in an almost intuitive manner.
I have not worked through all of this book.But, while working through the truth table exercises in Chapter 8 I thought 'couldn't I do these on a spreadsheet like Microsoft Excel or Microsoft Works?'With Bojadziev's formulations how to produce truth tables on a spread sheet (I used Microsoft Works) came almost immediately.(The only real exception was that I had to treat fractional truth values, as functions.Expressly, in Works you type =1/2 in the cell.)To paraphrase Betrand Russell (correct this if I have the author wrong), 'a good notation has a certain suggestion to it.'
Since I did this, I noticed some textual errors.p. 164, (g) reads [~p->(q^~q)]->~p proof by contradiction.This is not a tautology.The tautological form, I think, Bojadziev is looking for is either [p->(q^~q)]->~p, or more likely [~p->(q^~q)]->p.Also, on p. 165 p^(p->q) should not read (1 0 1 0, which is q^(p->q) in context), but
1
0
0
0.Additionally, on p. 267 8.5 (a) for p->~q should read
(0 1/2 1 1/2 1 1 1 1 1).
Still, Bojadziev's notation is the most helpful I have seen for fuzzy logic texts.The notation helped me to think of simpler ways to deal with truth tables.This also allowed me to check many different forms of tautologies and see if they are tautologies in other than 2-value logics.For instance, modus tollens is only a quasi-tautology in greater than 2-valued logics (I have investigated up to 11-valued logics, and no doubt, this could be proven for all n-valued crisp logics).Modus ponens is a tautology for n-valued logics, where n is greater than 2 (at least up to an 11-valued logic, and no doubt this can be proven). This suggests, on a logical basis, that falsifiability is not as strong a criterion as verification.Without this book, such insights would have not happened or would have been much harder. ... Read more

Product Description
Fuzzy systems is a mathematical framework for dealing with uncertain, ambiguous, and approximate information. An alternative to traditional binary logic, fuzzy logic has proved to be better suited to solving complex, real world programming problems.**This book provides a concise overview of fuzzy systems theory and its applications. Written by the leading scientists behind the successful Japanese fuzzy systems research effort, the goal of the book is to introduce fuzzy systems as a practical tool. After presenting the basics of fuzzy systems theory, the book presents practical applications of fuzzy systems theory in a wide variety of fields, including artificial intelligence and expert systems, diagnosis, control, robotics, image recognition, databases, and information retrieval.


* Provides a concise introduction to fuzzy systems theory
* Focuses on practical applications of fuzzy systems, and compares the results to the results from other methodologies
* Written by leading Japanese researchers in fuzzy systems theory and applications ... Read more

Customer Reviews (1)

FUZZY ttheoy and its application in multi-subject control
The control is focused on the following items:
1, To maintain a stable coal dust combustion with higher efficiency.
2, To simultaneously control the stagged air/coal ratio in order to NOx production
3, To configulation of the flame profile for proper heat absorption in boiler furnace ... Read more

Product Description
The book aims at surveying results in the application of fuzzy sets and fuzzy logic to economics and engineering. New results include fuzzy non-linear regression, fully fuzzified linear programming, fuzzy multi-period control, fuzzy network analysis, each using an evolutionary algorithm; fuzzy queuing decision analysis using possibility theory; fuzzy differential equations; fuzzy difference equations; fuzzy partial differential equations; fuzzy eigenvalues based on an evolutionary algorithm; fuzzy hierarchical analysis using an evolutionary algorithm; fuzzy integral equations. Other important topics covered are fuzzy input-output analysis; fuzzy mathematics of finance; fuzzy PERT (project evaluation and review technique). No previous knowledge of fuzzy sets is needed. The mathematical background is assumed to be elementary calculus. ... Read more

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A practical, step-by-step guide to fuzzy logic and NeuroFuzzy design on the PC using more than 30 case studies in a wide range of industries and applications. Includes two disks of simulation software for Microsoft Windows. Annotation copyright Book News, Inc. Portland, Or. ... Read more

Customer Reviews (2)

A great book that give good examples
This book shows using the program how fuzzy logic works.
There is a lot in the book
and it needs to be read a few times.

Read also

FUZZY LOGIC: THE REVOLUTIONARY COMPUTER TECHNOLOGY THAT IS CHANGING OUR WORLD
by Daniel Mcneil

The ideas in both are amazing.
page 107 is great here.

Superb description of fuzzy logic
It's not theoretical or programming based, rather a superb description of what fuzzy logic can DO. The software is getting a bit out of date, but you can always download the latest demo version off their web site. ... Read more

Customer Reviews (2)

eureka!
got the right book for the right purpose.Exciteting,informative,best for readers like me

eureka!
got the right book for the right purpose.Exciteting,informative,best for readers like me ... Read more

Product Description

This book covers at an advanced level the most fundamental ideas, concepts and methods in the field of applications of fuzzy logic to the study of neural cell behavior. Motivation and awareness are examined from a physiological and biochemical perspective illustrating fuzzy mechanisms of complex systems.

Product Description
Provides a logical and easy-to-follow presentation of introductory and advanced topics in Neural Network technology. The authors provide numerous examples in C++ for use with most C++ compilers, including Borland and Microsoft. Examples show how to implement neural networks and fuzzy logic for further applications and experimentation. ... Read more

Customer Reviews (1)

Great Neural Networks Introduction [1993]
Despite being used for decades controlling safety/time-critical non-linear manufacturing processes (and other applications), the neural networks/AI label evokes images from science fiction by the general media. Beyond theinitially intimidating title, this book is of real use to researchersaddressing complex problems, and those trying to use neural networks.Without resorting to hardwired neural networks, or MATLAB with neuralnetworks toolbox, one can readily understand and use the included (datednow) C++ neural network code (C compiler excluded- but useBorland/Microsoft).

The basic neural network steps include: modelprocess (e.g. manufacturing), gather data, pre-process data, compile, link& run the neural network code, let it iterate & learn, analyseoutput data sets, then use to hard-code a PID-controller (say). Even a486-66/Win3.1/16MB RAM CPU can readily handle 25 variable/1000+ data point(pultrusion) manufacturing process (1994). As I often tend to use fuzzy-preprocessing, and C/C++ for hacking demonstrators, the combined treatment offuzzy logic, C++ and neural networks works very well.

Topics include:fuzzy logic introduction, constructing a neural network, C++ and objectorientation, models and Adaptive Resonance Theory (ART), learning, selforganization & resonance, backpropogation and non-linear optimization,Bidirectional Associative Memory (BAM), Fuzzy Associative Memory (FAM), andapplications for financial modelling.

Weaknesses include: the now datedand programming-novice unfriendly software, and the ultimately limitedsoftware- far better when you are experienced to use MATLAB with neuralnetworks toolbox for developing fast, usable networks.

Overall, the styleis approachable, and the content readily understandable and usable by thetypical professional engineer/graduate engineering student audience. Thisbook includes much helpful annotated pseudo-code, examples, references,defined terms, and mathematical explanations. ... Read more

Product Description
The extensively revised and updated edition provides a logical and easy-to-follow progression through C++ programming for two of the most popular technologies for artificial intelligence--neural and fuzzy programming. The authors cover theory as well as practical examples, giving programmers a solid foundation as well as working examples with reusable code. ... Read more

Customer Reviews (26)

Not recommended
Being a professional C++ programmer with a background in Applied Math I didn't like this book at all. It's written in a very annoying way: sometimes it sounds like its author is trying to sell the whole concept of NN and Fuzzy Logic to the reader instead of explaining how, when, and WHY fuzzy logic and neural networks work, how to train them properly, and what their limitations are. One characteristic example: author presents a list of companies using fuzzy logic in real systems but never gives any useful details about these systems.

The book is not for a "mathematician" since it often lacks precision, coherence, mathematical rigor, clarity, ...More often than not, you will find wordy explanations instead of simple formulas

It will displease a "programmer" too. The book's title is "C++ Neural Networks and Fuzzy Logic" so one may expect to find some well-thought and proven design ideas on how to implement NN and FL in C++ as well as a decent C++ library. Instead you will find just an amateurish C++ code (like anybody had any doubts that NN can actually be implemented in C++).

Numerous times author uses this "trick": he introduces new concept, delivers a couple of vague statements about the concept, and promises a better explanation later (in the following chapters, next series, etc).

How do you like this for definition: "STABILITY refers to such convergence that facilitates an end to the iterative process". You can find a lot of such "pearls" in this book.

Don't waste your time... There are better books

FYI: the book includes just a floppy disk instead of CD.

Big promises but no delivery
At first this book promises to offer a great deal for the reader, and the copious amounts of code therein support this impression.But once one actually begins working with the text, the book's shortcomings become all too apparent.

The authors do a lot of 'hand waving' at important concepts, almost as though the book was written as a companion piece to a course lecture.(Sometimes it really does read as though it's just a transcribed volume of professor's notes.)Numerous times I found myself stopping and thinking "wait, don't get off that topic yet!You've barely addressed its basics," and wondering if I had somehow missed something on the previous page or two.

The code supplied is abominably written, a Frankenstein hodgepodge of C and C++ intertwined.This code can be made to run with some work, but it could hardly be used as a sound basis for further development or experimentation.

You can derive good conceptual information out of this book, but it takes a lot of work.You really have to bludgeon your way through it, and that is no recipe for a successful educational text.

Good book
This book is excellent introduction to theory and practical application of neural networks and fuzzy logic.
I know that for sure because I was totaly illiterate in that topic before I red it.
This book requires some prerequisite knowledge from reader.
Reader must have at least average undergraduate knowledge of discrete matematics,probability theory and matrix algebra.

I saw from previous reviews that some "good" C++ programmers expects to learn all that mathematics from one 500 pages book.
I think that would be impossible even for a perfect neural network.

Good book
This book is excellent introduction to theory and practical application of neural networks and fuzzy logic.
I know that for sure because I was totaly illiterate in that topic before I red it.
This book requires some prerequisite knowledge from reader.
Reader must have at least average undergraduate knowledge of discrete matematics,probability theory and matrix algebra.

I saw from previous reviews that some "good" C++ programmers expects to learn all that mathematics from one 500 pages book.
I think that would be impossible even for a perfect neural network.

Bad and code is useless
I'm sorry, this book is nearly useless. I'm a vetern C++ programmer and I tried to create a fuzzy logic system from the concepts and code in this book and it didn't work out at all. At first I blamed myself then I found some other fuzzy logic books and realized that no, this book just wasn't able to articulate the concepts in a meaningful way.The Neural net code was even worse. I wanted a cook book, do this, get a simple net, do this get a simple fuzzy logic system, now take what you learned and make a real one. Nope.

They do go over the AI terms and types of Neural nets and I did learn something by reading about it but not enough to justify the price of the book. ... Read more

Product Description

This book describes new methods for building intelligent systems using type-2 fuzzy logic and soft computing (SC) techniques. The authors extend the use of fuzzy logic to a higher order, which is called type-2 fuzzy logic. Combining type-2 fuzzy logic with traditional SC techniques, we can build powerful hybrid intelligent systems that can use the advantages that each technique offers. This book is intended to be a major reference tool and can be used as a textbook.

Product Description

This book provides a broad-ranging, but detailed overview of the basics of Fuzzy Logic. The fundamentals of Fuzzy Logic are discussed in detail, and illustrated with various solved examples. The book also deals with applications of Fuzzy Logic, to help readers more fully understand the concepts involved. Solutions to the problems are programmed using MATLAB 6.0, with simulated results. The MATLAB Fuzzy Logic toolbox is provided for easy reference.

Customer Reviews (1)

Awaste of money
I use Matlab's fuzzy logic toolbox for my classes, and from the title guessed that this book might serve as a handy tutorial and reference guide for my students. Instead I found the book poorly organised and typeset, hardly illuminating and full of language errors. No way I could use this book in class. Much more insight into the subject matter is to be gained, and a lot of money to be saved, by reading Matlab's own help files. ... Read more

Product Description
Text covers the implementation, test and application of programmable and reconfigurable Analog Fuzzy Logic Controllers in standard CMOS technologies. Addresses the analysis and design of basic analog building blocks, and undertakes a real-time application of Fuzzy Logic. Material is taken from the author's first Ph.D thesis, and is addressed to researchers and students. ... Read more

Product Description
Fuzzy logic provides a unique method of approximate reasoningin an imperfect world. This text is a bridge to the principles offuzzy logic through an application-focused approach to selected topicsin Engineering and Management. The many examples point to the richersolutions obtained through fuzzy logic and to the possibilities ofmuch wider applications. There are relatively few texts available at present in fuzzy logicapplications. The style and content of this text is complementary tothose already available. New areas of application are presented in agraded approach in which the underlying concepts are first described.The text is broadly divided into two parts which treat Processes andMaterials and also System Applications. The level enables a selection of the text to be made for the substanceof a senior undergraduate level course. There is also sufficientvolume and quality for the basis of a postgraduate course. A morerestricted and judicious selection can provide the material for aprofessional short course. ... Read more