Uncertain Rule-based Fuzzy Logic Systems

Introduction and New Directions

Author: Jerry M. Mendel

Publisher: Prentice Hall

ISBN: 9780130409690

Category: Computers

Page: 555

View: 4597

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.

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: 4243

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.

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: 1329

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.

Fuzzy Logic 2


Author: Hans-Jürgen Zimmermann,Constantin v. Altrock

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3486788949

Category: Technology & Engineering

Page: 322

View: 9737


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: 6730

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.

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: 6514

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.

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: 3832

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.

Systeme der Regelungstechnik mit MATLAB und Simulink

Analyse und Simulation

Author: Helmut Bode

Publisher: Walter de Gruyter

ISBN: 3486769707

Category: Technology & Engineering

Page: 445

View: 6807

Das Werk stellt die Einsatzmöglichkeiten von MATLAB® und Simulink® in der Regelungstechnik zur Analyse und Simulation dynamischer Systeme dar. Es beginnt mir Definitionen und Bemerkungen zur Historie der Automatisierung vorgestellt. Dem folgt eine Einführung in MATLAB® und Simulink®. Die Grundlagen der Modellbildung dynamischer Systeme und mathematischer Prozessmodelle ausgesuchter technischer Systeme unter Verwendungder Lagrange'schen Bewegungsgleichung zweiter Art (nichtlineare Systeme und ihre Linearisierung) schließen sich an. Regelungstechnische Methoden linearer Systeme im Zeit- und Frequenzbereich, Testsignale, Modelltransformationen und die Kopplung von Systemen, beschrieben durch Übertragungsfunktionen und Zustandsgleichungen, bilden den Abschluss des Buches. Durch die Vielzahl von Beispielen zur computergestützten Simulation dynamischer Systeme unter Verwendung von MATLAB® und Simulink® ist dieses Buch ausgezeichnet für den Einsatz in der Lehre geeignet. Es werden exemplarische regelungstechnische Probleme modelliert und simuliert. Die dazu eingesetzten MATLAB®-Codes (m- und mdl-files) werden dargestellt und auf den Internetseiten des Verlags zum Download angeboten. Die 2., aktualisierte Auflage ist an die aktuelle MATLAB®-Version (R2013a) angepasst.


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: 761

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.

Data Mining

Methoden und Algorithmen intelligenter Datenanalyse

Author: Thomas A. Runkler

Publisher: Springer-Verlag

ISBN: 3834893536

Category: Computers

Page: 165

View: 7765

Dieses Buch behandelt die wichtigsten Methoden zur Erkennung und Extraktion von „Wissen“ aus numerischen und nichtnumerischen Datenbanken in Technik und Wirtschaft. Es vermittelt einen kompakten, fundierten Überblick über die verschiedenen Methoden sowie deren Motivation und versetzt den Leser in die Lage, Data Mining selbst praktisch einzusetzen.

Georg Cantor

Author: Hans Joachim Ilgauds

Publisher: Springer-Verlag

ISBN: 3322822257

Category: Technology & Engineering

Page: 135

View: 6594


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: 7179

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.

Mathematik und Plausibles Schließen

Band 2: Typen und Strukturen plausibler Folgerung

Author: G. Polya

Publisher: Birkhäuser

ISBN: 9783764307158

Category: Science

Page: 326

View: 2042

10 in denen meine Beobachtungen meine Schlusse zu stutzen scheinen. Aber ich achte das Urteil des Lesers und will ihn nicht zwingen oder auf irgendeine unsaubere Weise dazu bringen, meine Schlusse anzu nehmen. Naturlich erheben die hier gebotenen Ansichten keinen Anspruch auf Endgultigkeit. Ich konnte in der Tat eine Reihe von Stellen ange ben, wo ich klar empfinde, dass eine grossere oder kleinere Verbesse rung am Platz ware. Ich glaube jedoch, dass die Hauptrichtung richtig ist, und ich hoffe, dass die Ausfuhrungen und vor allem die Beispiele in diesem Werk dazu beitragen mogen, die -Doppelnatun und die -komplementaren Aspekte) plausiblen, insbesondere induktiven Schliessens, zu erhellen, das zuweilen als -objektiv) und zuweilen als -subjektiv) erscheint. Stanford University Georg P6lya Mai 1953 VORWORT ZUR ZWEITEN AUFLAGE Die vorliegende zweite Auflage wurde erweitert durch einen An hang. Dieser enthalt einen Aufsatz -Heuristische Schlussweisen in der Zahlentheorie), entnommen dem American Mathematical Monthly mit der Genehmigung des herausgebenden Vereins, und zusatzliche Bemerkungen und Aufgaben zu verschiedenen Kapiteln. Herzlichen Dank Fraulein Dr. A. Roth fur die gewissenhafte Uber setzung und Frau H. Bretscher fur freundliche Hilfe."

Theorien und Dinge

Author: Willard van Orman Quine

Publisher: N.A

ISBN: 9783518285602


Page: 256

View: 8712


Visual Information Systems. Web-Based Visual Information Search and Management

10th International Conference, VISUAL 2008, Salerno, Italy, September 11-12, 2008, Proceedings

Author: Monica Sebillo,Giuliana Vitiello,Gerald Schaefer

Publisher: Springer Science & Business Media

ISBN: 3540858903

Category: Computers

Page: 340

View: 9854

The international conference series on Visual Information Systems (VISUAL) originatesfromtheideathattheexchangeofviews, resultsandexperienceswould allowresearchersandpractitionersworkingin the areaofvisualinformations- tems to address commonproblems moree?ectively. Following the success of p- vious editions held in Melbourne (1996), San Diego (1997), Amsterdam (1999), Lyon (2000), Taiwan (2002), Miami (2003), San Francisco (2004), Amsterdam (2005), and Shanghai (2007), the aim of the 2008 edition of the International ConferenceonVisualInformationSystemswasto providea fruitful forumofd- cussioninresearch?eldsrelatedtocomputervision, databases, humancomputer interaction, image processing, information visualization, and knowledge and - formation management. The University of Salerno was honored to celebrate the 10th edition of VISUAL, choosing a prestigioushotel situated on the enchanting Gulf of Salerno, located between the beautiful Coast of Amal? and the Cilento National Park (both part of UNESCO patrimony). VISUAL 2008 received 58 submissions, which were reviewed by more than 38 international experts in the related research ?elds from 19 di?erent countries. The resulting technical p- gramcontinuedthetraditionofmixingcarefully-reviewedresearchcontributions, experience reports and other activities with plenary presentations. Papers c- lectedinthis volumeinclude, butarenotlimitedto, topics ondatavisualization, geovisualization, image and video databases, mobile visual information systems, visual data mining, machine learning and pattern recognition techniques for - sualinformationmanagement, andapplicationsofvisualinformationsystems. In particular, three keynote talks were delivered at VISUAL 2008 and six thematic sessions were organized. The ?rst invited talk, A Visual Analytics Approach to Exploration of Large Amounts of Movement Data, was given by Prof. Gennady AndrienkoincooperationwithNataliaAndrienko, fromthe FraunhoferInstitute Intelligent Analysis and Information Systems. Prof. Andrienko faced the issue of enhancing human interpretation of movement data and described the results of their research experience about adequate analysis methods.