Fuzzy Logic for Beginners

This introductory book enables the reader to understand easily what fuzziness is and how one can apply fuzzy theory to real problems -- which explains why it was a best-seller in Japan.

Author: Masao Mukaidono

Publisher: World Scientific

ISBN: 9789810245344

Category: Computers

Page: 105

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There are many uncertainties in the real world. Fuzzy theory treats a kind of uncertainty called fuzziness, where it shows that the boundary of yes or no is ambiguous and appears in the meaning of words or is included in the subjunctives or recognition of human beings. Fuzzy theory is essential and is applicable to many systems -- from consumer products like washing machines or refrigerators to big systems like trains or subways. Recently, fuzzy theory has been a strong tool for combining new theories (called soft computing) such as genetic algorithms or neural networks to get knowledge from real data. This introductory book enables the reader to understand easily what fuzziness is and how one can apply fuzzy theory to real problems -- which explains why it was a best-seller in Japan.

An Introduction to Fuzzy Logic and Fuzzy Sets

This book is an excellent starting point for any curriculum in fuzzy systems fields such as computer science, mathematics, business/economics and engineering.

Author: James J. Buckley

Publisher: Springer Science & Business Media

ISBN: 3790814474

Category: Computers

Page: 285

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This book is an excellent starting point for any curriculum in fuzzy systems fields such as computer science, mathematics, business/economics and engineering. It covers the basics leading to: fuzzy clustering, fuzzy pattern recognition, fuzzy database, fuzzy image processing, soft computing, fuzzy applications in operations research, fuzzy decision making, fuzzy rule based systems, fuzzy systems modeling, fuzzy mathematics. It is not a book designed for researchers - it is where you really learn the "basics" needed for any of the above-mentioned applications. It includes many figures and problem sets at the end of sections.

Fuzzy Logic for Planning and Decision Making

Berlin Wall was opened, one finds the following turning points, each marking off
the start of a characteristic development: 1947 42 years before 1989 beginning of
cold war and decolonization, 1815 170 years before 1989 beginning of the ...

Author: Freerk A. Lootsma

Publisher: Springer Science & Business Media

ISBN: 9781475726183

Category: Business & Economics

Page: 198

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This book starts with the basic concepts of Fuzzy Logic: the membership function, the intersection and the union of fuzzy sets, fuzzy numbers, and the extension principle underlying the algorithmic operations. Several chapters are devoted to applications of Fuzzy Logic in Operations Research: PERT planning with uncertain activity durations, Multi-Criteria Decision Analysis (MCDA) with vague preferential statements, and Multi-Objective Optimization (MOO) with weighted degrees of satisfaction. New items are: Fuzzy PERT using activity durations with triangular membership functions, Fuzzy SMART with a sensitivity analysis based upon Fuzzy Logic, the Additive and the Multiplicative AHP with a similar feature, ELECTRE using the ideas of the AHP and SMART, and a comparative study of the ideal-point methods for MOO. Finally, earlier studies of colour perception illustrate the attempts to find a physiological basis for the set-theoretical and the algorithmic operations in Fuzzy Logic. The last chapter also discusses some key issues in linguistic categorization and the prospects of Fuzzy Logic as a multi-disciplinary research activity. Audience: Researchers and students working in applied mathematics, operations research, management science, business administration, econometrics, industrial engineering, information systems, artificial intelligence, mathematical psychology, and psycho-physics.

Mathematical Principles of Fuzzy Logic

The book [113] summarizes many deep results and became the new standard of
many- valued logic after the mentioned J. B. Rose and A. R. Turquette's one.
Beginning of fuzzy logic. The history of fuzzy logic roots to middle of sixties when
the seminal paper [ 136] of L. A. Zadeh was published in 1965. He introduced the
 ...

Author: Vilém Novák

Publisher: Springer Science & Business Media

ISBN: 0792385950

Category: Mathematics

Page: 320

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Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes the theory of functional systems in fuzzy logic, providing an explanation of what can be represented, and how, by formulas of fuzzy logic calculi. It also presents a more general interpretation of fuzzy logic within the environment of other proper categories of fuzzy sets stemming either from the topos theory, or even generalizing the latter. This book presents fuzzy logic as the mathematical theory of vagueness as well as the theory of commonsense human reasoning, based on the use of natural language, the distinguishing feature of which is the vagueness of its semantics.

Fuzzy Logic

Uninorm. Basics. János Fodor* and Bernard De Baets Abstract. In this paper, we
give an overview of some basic results concerning uninorms. Uninorms ... is one
of the most basic problems in fuzzy logic and its applications. By now, triangular ...

Author: Paul P. Wang

Publisher: Springer

ISBN: 9783540712589

Category: Mathematics

Page: 459

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How far can you take fuzzy logic, the brilliant conceptual framework made famous by George Klir? With this book, you can find out. The authors of this updated edition have extended Klir’s work by taking fuzzy logic into even more areas of application. It serves a number of functions, from an introductory text on the concept of fuzzy logic to a treatment of cutting-edge research problems suitable for a fully paid-up member of the fuzzy logic community.

Introduction to Fuzzy Sets Fuzzy Logic and Fuzzy Control Systems

Fuzzy. PID. Controllers. Conventional (classical) proportional-integral-derivative (
PID) controllers are perhaps the most well-known and most widely used
controllers in modern industries: statistics has shown that more than 90%
controllers ...

Author: Guanrong Chen

Publisher: CRC Press

ISBN: 1420039814

Category: Mathematics

Page: 328

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In the early 1970s, fuzzy systems and fuzzy control theories added a new dimension to control systems engineering. From its beginnings as mostly heuristic and somewhat ad hoc, more recent and rigorous approaches to fuzzy control theory have helped make it an integral part of modern control theory and produced many exciting results. Yesterday's "art

Fuzzy logic based Programming

Since NICEL allows the use of fuzzy logic and fuzzy rules in an intuitive manner ,
software coding in NICEL is far easier and more straightforward than coding in a
... Whitespace is used to indicate the beginning and ending of a token . NICEL is
 ...

Author: Chin-Liang Chang

Publisher: World Scientific

ISBN: 9810230702

Category: Computers

Page: 242

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The number of fuzzy logic applications is very large. This book tells the reader how to use fuzzy logic to find solutions in areas such as control systems, factory automation, product quality control, product inspection, instrumentation, pattern recognition, image analysis, database query processing, decision support, data mining, time series (waveform) databases, geographic information systems, and image databases. Those who have applications in these areas will find the book invaluable.The author was the first student to write a PhD fuzzy logic thesis under Professor Lotfi A Zadeh (the inventor of fuzzy logic), in 1967 at the University of California, Berkeley. In 1993, he designed and introduced the NICEL language for writing fuzzy programs that enclose if-then rules. NICEL is powerful and easy to use. The reader will find in the book that many algorithms for real world applications can be conveniently represented in NICEL.

Fuzzy Logic

Foreword At the beginning of the new millennium , fuzzy logic opens a new
challenging perspective in information processing . This perspective emerges out
of the ideas of the founder of fuzzy logic - Lotfi Zadeh , to develop ' soft ' tools for ...

Author: Vladimir Dimitrov

Publisher: Springer Science & Business Media

ISBN: 3790814253

Category: Mathematics

Page: 394

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At the beginning of the new millennium, fuzzy logic opens a new challenging perspective in information processing. This perspective emerges out of the ideas of the founder of fuzzy logic - Lotfi Zadeh, to develop 'soft' tools for direct computing with human perceptions. The enigmatic nature of human perceptions manifests in their unique capacity to generalize, extract patterns and capture both the essence and the integrity of the events and phenomena in human life. This capacity goes together with an intrinsic imprecision of the perception-based information. According to Zadeh, it is because of the imprecision of the human imprecision that they do not lend themselves to meaning representation through the use of precise methods based on predicate logic. This is the principal reason why existing scientific theories do not have the capability to operate on perception-based information. We are at the eve of the emergence of a theory with such a capability. Its applicative effectiveness has been already demonstrated through the industrial implementation of the soft computing - a powerful intelligent technology centred in fuzzy logic. At the focus of the papers included in this book is the knowledge and experience of the researchers in relation both to the engineering applications of soft computing and to its social and philosophical implications at the dawn of the third millennium. The papers clearly demonstrate that Fuzzy Logic revolutionizes general approaches for solving applied problems and reveals deep connections between them and their solutions.

Type 2 Fuzzy Logic Theory and Applications

We describe in this book, new methods for building intelligent systems using type
-2 fuzzy logic and soft computing techniques. Soft Computing (SC) consists of
several computing paradigms, including type-1 fuzzy logic, neural networks, and
 ...

Author: Oscar Castillo

Publisher: Springer Science & Business Media

ISBN: 9783540762836

Category: Mathematics

Page: 244

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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.

Metamathematics of Fuzzy Logic

But now we must ask: how does this relate to fuzzy logic (in the narrow sense,
obviously)? Let us again quote from Zadeh ... logic as a base (foundation) of
fuzzy logic is much greater and more important than one would guess at the
beginning.

Author: Petr Hájek

Publisher: Springer Science & Business Media

ISBN: 1402003706

Category: Mathematics

Page: 299

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This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. It aims 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. It is for mathematicians, logicians, computer scientists, specialists in artificial intelligence and knowledge engineering, and developers of fuzzy logic.

Fuzzy Logic in Artificial Intelligence

Fuzzy. Logic. in. AI. Didier. DUBOIS. -. Henri. PRADE. Institut de Recherche en
Informatique de Toulouse (IRIT), Universite Paul Sabatier, 1 18 route de
Narbonne, 31062 Toulouse Cedex 4, France Abstract: Fuzzy logic is more than
thirty years ...

Author: Anca L. Ralescu

Publisher: Springer Science & Business Media

ISBN: 3540663746

Category: Computers

Page: 244

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This volume constitutes the thoroughly refereed post-workshop proceedings of an international workshop on fuzzy logic in Artificial Intelligence held in Negoya, Japan during IJCAI '97. The 17 revised full papers presented have gone through two rounds of reviewing and revision. Three papers by leading authorities in the area are devoted to the general relevance of fuzzy logic and fuzzy sets to AI. The remaining papers address various relevant issues ranging from theory to application in areas like knowledge representation, induction, logic programming, robotics, pattern recognition, etc.

Modeling Uncertainty with Fuzzy Logic

The monopoly of probability theory came to an end when fuzzy logic made its
debut. However, this is by no means a widely accepted view. The belief persists,
especially within the probability community, that probability theory is all that is ...

Author: Asli Celikyilmaz

Publisher: Springer Science & Business Media

ISBN: 9783540899235

Category: Computers

Page: 400

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The world we live in is pervaded with uncertainty and imprecision. Is it likely to rain this afternoon? Should I take an umbrella with me? Will I be able to find parking near the campus? Should I go by bus? Such simple questions are a c- mon occurrence in our daily lives. Less simple examples: What is the probability that the price of oil will rise sharply in the near future? Should I buy Chevron stock? What are the chances that a bailout of GM, Ford and Chrysler will not s- ceed? What will be the consequences? Note that the examples in question involve both uncertainty and imprecision. In the real world, this is the norm rather than exception. There is a deep-seated tradition in science of employing probability theory, and only probability theory, to deal with uncertainty and imprecision. The mon- oly of probability theory came to an end when fuzzy logic made its debut. H- ever, this is by no means a widely accepted view. The belief persists, especially within the probability community, that probability theory is all that is needed to deal with uncertainty. To quote a prominent Bayesian, Professor Dennis Lindley, “The only satisfactory description of uncertainty is probability.

Foundations of Fuzzy Logic and Semantic Web Languages

Łukasiewicz Logic Gödel Logic Product Logic SFL a b max ( a + b – 1,0 ) min ( a ,
b ) a · b min ( a , b ) a b min ( a + b , 1 ) max ( a , b ) a ... ( 8.41 ) 2The set of axioms
may vary from case to case Fuzzy Sets and Mathematical Fuzzy Logic Basics 129
.

Author: Umberto Straccia

Publisher: CRC Press

ISBN: 9781439853481

Category: Computers

Page: 386

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Managing vagueness/fuzziness is starting to play an important role in Semantic Web research, with a large number of research efforts underway. Foundations of Fuzzy Logic and Semantic Web Languages provides a rigorous and succinct account of the mathematical methods and tools used for representing and reasoning with fuzzy information within Semantic

Fuzzy Logic with Engineering Applications

Historically, probability and fuzzy sets have been presented as distinct theoretical
foundations for reasoning and decision making in situations involving ...
Alternatively, addition of a requirement for strong truth-functionality gives a fuzzy
logic.

Author: Timothy J. Ross

Publisher: John Wiley & Sons

ISBN: 9780470860762

Category: Technology & Engineering

Page: 650

View: 838

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Fuzzy Logic and Intelligent Systems

Jia Luo and Edward Lan Department of Aerospace Engineering, University of
Kansas Lawrence, KA 66045, USA ABSTRACT Fuzzy logic proportional-integral-
differential (PID) controllers are developed to perform both stability augmentation
 ...

Author: Hua Harry Li

Publisher: Springer Science & Business Media

ISBN: 9780585280004

Category: Mathematics

Page: 450

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One of the attractions of fuzzy logic is its utility in solving many real engineering problems. As many have realised, the major obstacles in building a real intelligent machine involve dealing with random disturbances, processing large amounts of imprecise data, interacting with a dynamically changing environment, and coping with uncertainty. Neural-fuzzy techniques help one to solve many of these problems. Fuzzy Logic and Intelligent Systems reflects the most recent developments in neural networks and fuzzy logic, and their application in intelligent systems. In addition, the balance between theoretical work and applications makes the book suitable for both researchers and engineers, as well as for graduate students.

Introduction to Fuzzy Logic using MATLAB

Fuzzy. Logic. Projects. with. Matlab. 9.1. Fuzzy. Logic. Control. of. a. Switched.
Reluctance. Motor. This section presents the use of fuzzy logic control (FLC) for
switched reluctance motor (SRM) speed. The FLC performs a PI (Proportional ...

Author: S.N. Sivanandam

Publisher: Springer Science & Business Media

ISBN: 9783540357810

Category: Mathematics

Page: 430

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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.

Fuzzy Logic Applications in Engineering Science

The fuzzy number then degenerates to a singleton. 1.8. Probability and Identity
The first impressions of fuzzy logic analysis is that it is statistics with another label
and adds nothing to the clarification and solution of non-deterministic problems.

Author: J. Harris

Publisher: Springer Science & Business Media

ISBN: 1402040776

Category: Computers

Page: 226

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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.

Fuzzy Logic and Applications

Several methods have been proposed to automatically generate fuzzy rule-
based systems (FRBSs) from data. At the beginning, the unique objective of
these methods was to maximize the accuracy with the result of often neglecting
the most ...

Author: Alfredo Petrosino

Publisher: Springer Science & Business Media

ISBN: 9783642237126

Category: Computers

Page: 278

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This book constitutes the refereed proceedings of the 9th International Workshop on Fuzzy Logic and Applications, WILF 2011 held in Trani, Italy in August 2011. The 34 revised full papers presented were carefully reviewed and selected from 50 submissions. The papers are organized in topical sections on advances in theory of fuzzy sets, advances in fuzzy systems, advances in classification and clustering; and applications.

Fuzzy Logic and Applications

Application of Fuzzy Logic Controllers for Laser Tracking with Autonomous Robot
System Jia Lu and Yunxia Hu Computer Science and Information System,
University of Phoenix, 5050 NW 125 Avenue, Coral Springs, Florida, FL 33076,
USA ...

Author: Vito Di Gesù

Publisher: Springer Science & Business Media

ISBN: 9783540310198

Category: Computers

Page: 342

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The present volume contains the contributions delivered at the 5th International Workshop on Fuzzy Logic and Applications (WILF 2003), hosted by the Istituto Italiano Studi Filoso?ci, Palazzo Serra di Cassano, Naples (Italy) and held on October 9-11, 2003. The volume includes the more recent achievements in the domain of theor- ical, experimental and applied fuzzy logic and related techniques. To emphasize the particular connotation of the modern applications of fuzzy logic, special - tention has been devoted to the recent trend of integrating and complementing fuzzy logic with rough set theory, neural networks, genetic algorithms and other formal theories and methodologies in order to de?ne ?exible and “intelligent” systems, based on the so-called paradigm of soft computing. The capabiblity of these techniques to incorporate imprecision and incomplete information, and to model complex systems, makes them useful tools in many scienti?c areas. Among these areas, WILF 2003 dedicated a Special Session on “Soft Comp- ing in Image Processing.” Image processing has been a major topic in many areas of research and development, particularly in computer vision and pattern rec- nition. The majority of the methods were based on probabilistic paradigms, such as the well-known Bayesian paradigm and evidence-based decision-making s- tems, and just recently soft-computing techniques have gained a relevant role in the leading techniques to tackle image-processing problems. The special session was organized in cooperation with the SCIP group (http://fuzzy.rug.ac.be/SCIP).

Fuzzy Logic Based Algorithms for Video De Interlacing

Preface. The 'Fuzzy Logic' research group of the Microelectronics Institute of
Seville is composed of researchers who have been doing research on fuzzy logic
since the beginning of the 1990s. Mainly, this research has been focused on the
 ...

Author: Piedad Brox

Publisher: Springer Science & Business Media

ISBN: 9783642106941

Category: Computers

Page: 174

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The ‘Fuzzy Logic’ research group of the Microelectronics Institute of Seville is composed of researchers who have been doing research on fuzzy logic since the beginning of the 1990s. Mainly, this research has been focused on the microel- tronic design of fuzzy logic-based systems using implementation techniques which range from ASICs to FPGAs and DSPs. Another active line was the development of a CAD environment, named Xfuzzy, to ease such design. Several versions of Xfuzzy have been and are being currently developed by the group. The addressed applications had basically belonged to the control ?eld domain. In this sense, s- eral problems without a linear control solution had been studied thoroughly. Some examples are the navigation control of an autonomous mobile robot and the level control of a dosage system. The research group tackles a new activity with the work developed in this book: the application of fuzzy logic to video and image processing. We addressed our interest to problems related to pixel interpolation, with the aim of adapting such interpolation to the local features of the images. Our hypothesis was that measures and decisions to solve image interpolation, which traditionally had been done in a crisp way, could better be done in a fuzzy way. Validation of this general hypothesis has been done speci?cally in the interpolation problem of video de-interlacing. - interlacing is one of the main tasks in video processing.