Uncertain Rule-based Fuzzy Logic Systems

Introduction and New Directions

Author: Jerry M. Mendel

Publisher: Prentice Hall

ISBN: 9780130409690

Category: Computers

Page: 555

View: 7578

Preface Uncertainty is the fabric that makes life interesting. For millenia human beings have developed strategies to cope with a plethora of uncertainties, never absolutely sure what the consequences would be, but hopeful that the deleterious effects of those uncertainties could be minimized. This book presents a complete methodology for accomplishing this within the framework of fuzzy logic (FL). This is not the original FL, but is an expanded and richer FL, one that contains the original FL within it. The original FL, founded by Lotfi Zadeh, has been around for more than 35 years, as of the year 2000, and yet it is unable to handle uncertainties. Byhandle, I meanto model and minimize the effect of. That the original FL—type-1 FL—cannot do this sounds paradoxical because the word fuzzy has the connotation of uncertainty. The expanded FL—type-2 FL—is able to handle uncertainties because it can model them and minimize their effects. And, if all uncertainties disappear, type-2 FL reduces to type-1 FL, in much the same way that if randomness disappears, probability reduces to determinism. Although many applications were found for type-1 FL, it is its application torule-based systemsthat has most significantly demonstrated its importance as a powerful design methodology. Such rule-based fuzzy logic systems (FLSs), both type-1 and type-2, are what this book is about. In it I show how to use FL in new ways and how to effectively solve problems that are awash in uncertainties. FL has already been applied in numerous fields, in many of which uncertainties are present (e.g., signal processing, digital communications, computer and communication networks, diagnostic medicine, operations research, financial investing, control, etc.). Hence, the results in this book can immediately be used in all of these fields. To demonstrate the performance advantages for type-2 FLSs over their type-1 counterparts, when uncertainties are present, I describe and provide results for the following applications in this book: forecasting of time series, knowledge-mining using surveys, classification of video data working directly with compressed data, equalization of time-varying nonlinear digital communication channels, overcoming co-channel interference and intersymbol interference for time-varying nonlinear digital communication channels, and connection admission control for asynchronous transfer mode networks. No control applications have been included, because to date type-2 FL has not yet been applied to them; hence, this book is not about FL control, although its methodologies may someday be applicable to it. I have organized this book into four parts. Part 1—Preliminaries— contains four chapters that provide background materials about uncertainty, membership functions, and two case studies (forecasting of time-series and knowledge mining using surveys) that are carried throughout the book. Part 2—Type-1 Fuzzy Logic Systems—contains two chapters that are included to provide the underlying basis for the new type-2 FLSs, so that we can compare type-2 results for our case studies with type-1 results. Part 3—Type-2 Fuzzy Sets—contains three chapters, each of which focuses on a different aspect of such sets. Part 4—Type-2 Fuzzy Logic Systems—which is the heart of the book, contains five chapters, four having to do with different architectures for a FLS and how to handle different kinds of uncertainties within them, and one having to do primarily with four specific applications of type-2 FLSs. This book can be read by anyone who has an undergraduate BS degree and should be of great interest to computer scientists and engineers who already use or want to use rule-based systems and are concerned with how to handle uncertainties about such systems. I have included many worked-out examples in the text, and have also included homework problems at the end of most chapters so that the book can be used in a classroom setting as well as a technical reference. Here are some specific ways that this book can be used: For the person totally unfamiliar with FL who wants a quick introduction to it, read the Supplement to Chapter 1 and Chapter 5 (Sections 5.1-5.8). For the person who wants an in-depth treatment of type-1 rule-based FLSs, read the Supplement to Chapter 1 and Chapters 4-6. For the person who is only interested in type-2 fuzzy set theory, read Chapters 3, 7-9, and Appendices A and B. For a person who wants to give a course on rule-based fuzzy logic systems, use Chapters 1-12 and 13 (if time permits). Chapter 14 should be of interest to people with a background in digital communications, pattern recognition, or communication networks and will suggest projects for a course. For a person who is a proponent of Takagi-Sugeno-Kang (TSK) fuzzy systems and wants to see what their type-2 counterparts look like, read Chapters 3, 7-9, and 13. For a person who is interested in forecasting of time-series and wants to get a quick overview of the benefits to modeling uncertainties on forecasting performance when using rule-based forecasters, read Chapters 4 (Section 4.2), 5 (Section 5.10), 6 (Section 6.7), 10 (Section 10.11), 11 (Section 11.5), and 12 (Section 12.5). For a person who is interested in knowledge mining and wants to get a quick overview of the benefits to modeling uncertainties on judgment making when using rule-based advisors, read Chapters 4 (Section 4.3), 5 (Section 5.11), and 10 (Section 10.12). So that people will start using type-2 FL as soon as possible, I have made free software available online for implementing and designing type-1 and type-2 FLSs. It is MATLAB-based (MATLAB is a registered trademark of The MathWorks, Inc.), was developed by my former PhD students Nilesh Karnik and Qilian Liang, and can be reached at:http://sipi.usc.edu/. A computation section, which directs the reader to very specific M-files, appears at the end of most chapters of this book. Appendix C summarizes all of the M-files so that the reader can see the forest from the trees.
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Uncertain Rule-Based Fuzzy Systems

Introduction and New Directions, 2nd Edition

Author: Jerry M. Mendel

Publisher: Springer

ISBN: 3319513702

Category: Technology & Engineering

Page: 684

View: 7941

The second edition of this textbook provides a fully updated approach to fuzzy sets and systems that can model uncertainty — i.e., “type-2” fuzzy sets and systems. The author demonstrates how to overcome the limitations of classical fuzzy sets and systems, enabling a wide range of applications from time-series forecasting to knowledge mining to control. In this new edition, a bottom-up approach is presented that begins by introducing classical (type-1) fuzzy sets and systems, and then explains how they can be modified to handle uncertainty. The author covers fuzzy rule-based systems – from type-1 to interval type-2 to general type-2 – in one volume. For hands-on experience, the book provides information on accessing MatLab and Java software to complement the content. The book features a full suite of classroom material.
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Fuzzy Logic 2

Anwendungen

Author: Hans-Jürgen Zimmermann,Constantin v. Altrock

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3486788949

Category: Technology & Engineering

Page: 322

View: 6900

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Fuzzy Information and Engineering

Author: Bingyuan Cao,Tai-Fu Li,Cheng-Yi Zhang

Publisher: Springer Science & Business Media

ISBN: 9783642036644

Category: Mathematics

Page: 1754

View: 3380

This book is the proceedings of the Third International Conference on Fuzzy Information and Engineering (ICFIE 2009) held in the famous mountain city Chongqing in Southwestern China, from September 26-29, 2009. Only high-quality papers are included. The ICFIE 2009, built on the success of previous conferences, the ICFIE 2007 (Guangzhou, China), is a major symposium for scientists, engineers and practitioners in the world to present their updated results, ideas, developments and applications in all areas of fuzzy information and engineering. It aims to strengthen relations between industry research laboratories and universities, and to create a primary symposium for world scientists in fuzzy fields as follows: Fuzzy Information; Fuzzy Sets and Systems; Soft Computing; Fuzzy Engineering; Fuzzy Operation Research and Management; Artificial Intelligence; Fuzzy Mathematics and Systems in Applications, etc.
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MICAI 2009: Advances in Artificial Intelligence

8th Mexican International Conference on Artificial Intelligence, Guanajuato, México, November 9-13, 2009 Proceedings

Author: Arturo Hernández Aguirre,Raúl Monroy Borja,Carlos Albetro Reyes García

Publisher: Springer Science & Business Media

ISBN: 3642052576

Category: Computers

Page: 743

View: 8933

This book constitutes the refereed proceedings of the 8th Mexican International Conference on Artificial Intelligence, MICAI 2009, held in Guanajuato, Mexico, in November 2009. The 63 revised full papers presented together with one invited talk were carefully reviewed and selected from 215 submissions. The papers are organized in topical sections on logic and reasoning, ontologies, knowledge management and knowledge-based systems, uncertainty and probabilistic reasoning, natural language processing, data mining, machine learning, pattern recognition, computer vision and image processing, robotics, planning and scheduling, fuzzy logic, neural networks, intelligent tutoring systems, bioinformatics and medical applications, hybrid intelligent systems and evolutionary algorithms.
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Recent Developments and the New Direction in Soft-Computing Foundations and Applications

Selected Papers from the 6th World Conference on Soft Computing, May 22-25, 2016, Berkeley, USA

Author: Lotfi A. Zadeh,Ronald R. Yager,Shahnaz N. Shahbazova,Marek Z. Reformat,Vladik Kreinovich

Publisher: Springer

ISBN: 3319754084

Category: Computers

Page: 649

View: 1681

This book is an authoritative collection of contributions in the field of soft-computing. Based on selected works presented at the 6th World Conference on Soft Computing, held on May 22-25, 2016, in Berkeley, USA, it describes new theoretical advances, as well as cutting-edge methods and applications. Theories cover a wealth of topics, such as fuzzy logic, cognitive modeling, Bayesian and probabilistic methods, multi-criteria decision making, utility theory, approximate reasoning, human-centric computing and many others. Applications concerns a number of fields, such as internet and semantic web, social networks and trust, control and robotics, computer vision, medicine and bioinformatics, as well as finance, security and e-Commerce, among others. Dedicated to the 50th Anniversary of Fuzzy Logic and to the 95th Birthday Anniversary of Lotfi A. Zadeh, the book not only offers a timely view on the field, yet it also discusses thought-provoking developments and challenges, thus fostering new research directions in the diverse areas of soft computing.
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Fuzzy Systems: Concepts, Methodologies, Tools, and Applications

Concepts, Methodologies, Tools, and Applications

Author: Management Association, Information Resources

Publisher: IGI Global

ISBN: 1522519092

Category: Mathematics

Page: 1765

View: 2277

There are a myriad of mathematical problems that cannot be solved using traditional methods. The development of fuzzy expert systems has provided new opportunities for problem-solving amidst uncertainties. Fuzzy Systems: Concepts, Methodologies, Tools, and Applications is a comprehensive reference source on the latest scholarly research and developments in fuzzy rule-based methods and examines both theoretical foundations and real-world utilization of these logic sets. Featuring a range of extensive coverage across innovative topics, such as fuzzy logic, rule-based systems, and fuzzy analysis, this is an essential publication for scientists, doctors, engineers, physicians, and researchers interested in emerging perspectives and uses of fuzzy systems in various sectors.
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Advances in Type-2 Fuzzy Sets and Systems

Theory and Applications

Author: Alireza Sadeghian,Jerry M Mendel,Hooman Tahayori

Publisher: Springer

ISBN: 1461466660

Category: Computers

Page: 262

View: 4047

This book explores recent developments in the theoretical foundations and novel applications of general and interval type-2 fuzzy sets and systems, including: algebraic properties of type-2 fuzzy sets, geometric-based definition of type-2 fuzzy set operators, generalizations of the continuous KM algorithm, adaptiveness and novelty of interval type-2 fuzzy logic controllers, relations between conceptual spaces and type-2 fuzzy sets, type-2 fuzzy logic systems versus perceptual computers; modeling human perception of real world concepts with type-2 fuzzy sets, different methods for generating membership functions of interval and general type-2 fuzzy sets, and applications of interval type-2 fuzzy sets to control, machine tooling, image processing and diet. The applications demonstrate the appropriateness of using type-2 fuzzy sets and systems in real world problems that are characterized by different degrees of uncertainty.
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Fuzzy-Clusteranalyse

Verfahren für die Bilderkennung, Klassifizierung und Datenanalyse

Author: Frank Höppner,Rudolf Kruse,Frank Klawonn

Publisher: Springer-Verlag

ISBN: 3322868362

Category: Technology & Engineering

Page: 280

View: 619

Dieses Buch ist das Standardwerk zu einem neuen Bereich der angewandten Fuzzy-Technologie, der Fuzzy-Clusteranalyse. Diese beinhaltet Verfahren der Mustererkennung zur Gruppierung und Strukturierung von Daten. Dabei werden im Gegensatz zu klassischen Clustering-Techniken die Daten nicht eindeutig zu Klassen zugeordnet, sondern Zugehörigkeitsgrade bestimmt, so daß die Fuzzy-Verfahren robust gegenüber gestörten oder verrauschten Daten sind und fließende Klassenübergänge handhaben können. Dieses Werk gibt eine methodische Einführung in die zahlreichen Fuzzy-Clustering-Algorithmen mit ihren Anwendungen in den Bereichen Datenanalyse, Erzeugung von Regeln für Fuzzy-Regler, Klassifikations- und Approximationsprobleme sowie eine ausführliche Darstellung des Shell-Clustering zur Erkennung von geometrischen Konturen in Bildern.
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Georg Cantor

Author: Hans Joachim Ilgauds

Publisher: Springer-Verlag

ISBN: 3322822257

Category: Technology & Engineering

Page: 135

View: 7022

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Relationen und Graphen

Author: Gunther Schmidt,Thomas Ströhlein

Publisher: Springer-Verlag

ISBN: 3642836089

Category: Mathematics

Page: 306

View: 6734

Dieses Buch gibt eine neuartige systematische Darstellung der Diskreten Mathematik; sie orientiert sich an Methoden der Relationenalgebra. Ähnlich wie man es sonst nur für die weit entwickelte Analysis im kontinuierlichen Fall und die Matrizenrechnung gewohnt ist, stellt dieses Buch auch für die Behandlung diskreter Probleme geeignete Techniken und Hilfsmittel sowie eine einheitliche Theorie bereit. Die einzelnen Kapitel beginnen jeweils mit anschaulichen und motivierenden Beispielen und behandeln anschließend den Stoff in mathematischer Strenge. Es folgen jeweils praktische Anwendungen. Diese entstammen der Semantik der Programmierung, der Programmverifikation, dem Datenbankbereich, der Spieltheorie oder der Theorie der Zuordnungen und Überdeckungen aus der Graphentheorie; sie reichen aber auch bis zu rein mathematischen "Anwendungen" wie der transfiniten Induktion. Im Anhang ist dem Buch eine Einführung in die Boolesche Algebra und in die Axiomatik der Relationenalgebra beigegeben, sowie ein Abriß der Fixpunkt- und Antimorphismen-Theorie.
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Geometrie und Erfahrung

Erweiterte Fassung des Festvortrages Gehalten an der Preussischen Akademie der Wissenschaften zu Berlin am 27. Januar 1921

Author: Albert Einstein

Publisher: Springer-Verlag

ISBN: 3642499031

Category: Mathematics

Page: N.A

View: 7143

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.
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Fuzzy Sets and Fuzzy Logic

The Foundations of Application — from a Mathematical Point of View

Author: Siegfried Gottwald

Publisher: Vieweg+Teubner Verlag

ISBN: 9783322868138

Category: Technology & Engineering

Page: 216

View: 5531

Methods from Fuzzy Logic since the end of the 80th were the sources for remarkable applications of computer modelling in fields which before looked essentially inaccessible. The main tool for that, the fuzzy controllers - a method of rule based rough modelling using fuzzy information - is presented in this book and investigated from a mathematical point of view. The basic notions from fuzzy set theory and many-valued logic are explained in detail, and a theory of fuzzy equations and systems of them is developed and applied to fuzzy controllers. The final chapter discussed methodological issues arising out of the process of developing and evaluating fuzzy models. Methoden der Fuzzy-Logik haben seit dem Ende der 80er Jahre zu bemerkenswerten Automatisierungslösungen in Bereichen geführt, die zuvor dem Computereinsatz weitgehend verschlossen schienen. Die dabei vor allem benutzten unscharfen Regler, eine Methode regelbasierter Grobmodellierungen mit Hilfe unscharfer Informationen, werden in diesem Buch dargestellt und mathematisch untersucht. Die dazu nötigen Grundlagen aus der Theorie der fuzzy sets und der mehrwertigen Logik werden ausgiebig erörtert, und es wird eine Theorie unscharfer Gleichungssysteme und ihrer Lösbarkeit entwickelt und auf unscharfe Regler angewendet. Ein Kapitel zu methodologischen Problemen der Bildung und Bewertung unscharfer Modelle beschließt das Werk, das als Standardwerk Theoretikern und Praktikern empfohlen ist.
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Der Seneca-Effekt

Warum Systeme kollabieren und wie wir damit umgehen können

Author: Ugo Bardi

Publisher: N.A

ISBN: 9783960060109

Category:

Page: 312

View: 7740

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Programmieren in Prolog

Author: William F. Clocksin,Christopher S. Mellish

Publisher: Springer-Verlag

ISBN: 3642711219

Category: Computers

Page: 331

View: 6874

Prolog, die wohl bedeutendste Programmiersprache der Künstlichen Intelligenz, hat eine einzigartige Verbreitung und Beliebtheit erreicht und gilt als Basis für eine ganze neue Generation von Programmiersprachen und -systemen. Der vorliegenden deutschen Übersetzung des Standardwerks Programming in Prolog liegt die dritte Auflage der englischen Fassung zugrunde. Das Buch ist sowohl Lehrbuch als auch Nachschlagewerk und für alle geeignet, die Prolog als Programmiersprache für die Praxis erlernen und benutzen wollen. Zahlreiche Beispiele zeigen, wie nützliche Programme mit heutigen Prolog-Systemen geschrieben werden können. Die Autoren konzentrieren sich auf den "Kern" von Prolog; alle Beispiele entsprechen diesem Standard und laufen auf den verbreitetsten Prolog-Implementierungen. Zu einigen Implementierungen sind im Anhang Hinweise auf Besonderheiten enthalten.
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Theorien und Dinge

Author: Willard van Orman Quine

Publisher: N.A

ISBN: 9783518285602

Category:

Page: 256

View: 9572

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New Directions in Rough Sets, Data Mining, and Granular-Soft Computing

7th International Workshop, RSFDGrC'99, Yamaguchi, Japan, November 9-11, 1999 Proceedings

Author: Ning Zhong,Andrzej Skowron,RSFDGrC'99

Publisher: Springer Science & Business Media

ISBN: 3540666451

Category: Computers

Page: 558

View: 3276

This book constitutes the refereed proceedings of the 7th International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing, RSFDGrC'99, held in Yamaguchi, Japan, in November 1999. The 45 revised regular papers and 15 revised short papers presented together with four invited contributions were carefully reviewed and selected from 89 submissions. The book is divided into sections on rough computing: foundations and applications, rough set theory and applications, fuzzy set theory and applications, nonclassical logic and approximate reasoning, information granulation and granular computing, data mining and knowledge discovery, machine learning, and intelligent agents and systems.
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