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Author : Klir
Publisher :
ISBN 13 : 9788120306950
Total Pages : 368 pages
Book Rating : 4.3/5 (69 download)
Download or read book Fuzzy Sets Uncertainty And Information written by Klir and published by . This book was released on 1995 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George J. Klir
Publisher : John Wiley & Sons
ISBN 13 : 0471755567
Total Pages : 499 pages
Book Rating : 4.4/5 (717 download)
Download or read book Uncertainty and Information written by George J. Klir and published by John Wiley & Sons. This book was released on 2005-11-22 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deal with information and uncertainty properly and efficientlyusing tools emerging from generalized information theory Uncertainty and Information: Foundations of Generalized InformationTheory contains comprehensive and up-to-date coverage of resultsthat have emerged from a research program begun by the author inthe early 1990s under the name "generalized information theory"(GIT). This ongoing research program aims to develop a formalmathematical treatment of the interrelated concepts of uncertaintyand information in all their varieties. In GIT, as in classicalinformation theory, uncertainty (predictive, retrodictive,diagnostic, prescriptive, and the like) is viewed as amanifestation of information deficiency, while information isviewed as anything capable of reducing the uncertainty. A broadconceptual framework for GIT is obtained by expanding theformalized language of classical set theory to include moreexpressive formalized languages based on fuzzy sets of varioustypes, and by expanding classical theory of additive measures toinclude more expressive non-additive measures of varioustypes. This landmark book examines each of several theories for dealingwith particular types of uncertainty at the following fourlevels: * Mathematical formalization of the conceived type ofuncertainty * Calculus for manipulating this particular type ofuncertainty * Justifiable ways of measuring the amount of uncertainty in anysituation formalizable in the theory * Methodological aspects of the theory With extensive use of examples and illustrations to clarify complexmaterial and demonstrate practical applications, generoushistorical and bibliographical notes, end-of-chapter exercises totest readers' newfound knowledge, glossaries, and an Instructor'sManual, this is an excellent graduate-level textbook, as well as anoutstanding reference for researchers and practitioners who dealwith the various problems involving uncertainty and information. AnInstructor's Manual presenting detailed solutions to all theproblems in the book is available from the Wiley editorialdepartment.
Author : Asli Celikyilmaz
Publisher : Springer
ISBN 13 : 3540899243
Total Pages : 443 pages
Book Rating : 4.5/5 (48 download)
Download or read book Modeling Uncertainty with Fuzzy Logic written by Asli Celikyilmaz and published by Springer. This book was released on 2009-04-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Didier Dubois
Publisher : Springer Science & Business Media
ISBN 13 : 1461544297
Total Pages : 660 pages
Book Rating : 4.4/5 (615 download)
Download or read book Fundamentals of Fuzzy Sets written by Didier Dubois and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field. The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews information measures of specificity and fuzziness. The last part concerns fuzzy sets on the real line - computation with fuzzy intervals, metric topology of fuzzy numbers, and the calculus of fuzzy-valued functions. Each chapter is written by one or more recognized specialists and offers a tutorial introduction to the topics, together with an extensive bibliography.
Author : Rafael Bello
Publisher : Springer
ISBN 13 : 303010463X
Total Pages : 424 pages
Book Rating : 4.0/5 (31 download)
Download or read book Uncertainty Management with Fuzzy and Rough Sets written by Rafael Bello and published by Springer. This book was released on 2019-01-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a timely overview of fuzzy and rough set theories and methods. Based on selected contributions presented at the International Symposium on Fuzzy and Rough Sets, ISFUROS 2017, held in Varadero, Cuba, on October 24-26, 2017, the book also covers related approaches, such as hybrid rough-fuzzy sets and hybrid fuzzy-rough sets and granular computing, as well as a number of applications, from big data analytics, to business intelligence, security, robotics, logistics, wireless sensor networks and many more. It is intended as a source of inspiration for PhD students and researchers in the field, fostering not only new ideas but also collaboration between young researchers and institutions and established ones.
Author : Bhargava A.K.
Publisher : S. Chand Publishing
ISBN 13 : 8121941946
Total Pages : 400 pages
Book Rating : 4.1/5 (219 download)
Download or read book Fuzzy Set Theory Fuzzy Logic and their Applications written by Bhargava A.K. and published by S. Chand Publishing. This book was released on with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Sets Fuzzy Relation Equations Basic Concepts On Fuzzy Sets Possibility Theory Fuzzy Sets Versus Crisp Sets Fuzzy Logic Operations On Fuzzy Sets Uncertainty-Based Information Interval Arithmetic Approximate Reasoning Fuzzy Numbers And Fuzzy Arithmetic Fuzzy Control And Fuzzy Expert Systems Fuzzy Relations Fuzzy Decision Making Index
Author : Humberto Bustince
Publisher : Springer
ISBN 13 : 3540737235
Total Pages : 674 pages
Book Rating : 4.5/5 (47 download)
Download or read book Fuzzy Sets and Their Extensions: Representation, Aggregation and Models written by Humberto Bustince and published by Springer. This book was released on 2007-10-30 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully edited book presents an up-to-date state of current research in the use of fuzzy sets and their extensions. It pays particular attention to foundation issues and to their application to four important areas where fuzzy sets are seen to be an important tool for modeling and solving problems. The book’s 34 chapters deal with the subject with clarity and effectiveness. They include four review papers introducing some non-standard representations
Author : Jerry M. Mendel
Publisher : Springer
ISBN 13 : 3319513702
Total Pages : 701 pages
Book Rating : 4.3/5 (195 download)
Download or read book Uncertain Rule-Based Fuzzy Systems written by Jerry M. Mendel and published by Springer. This book was released on 2017-05-17 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Harish Garg
Publisher : Springer Nature
ISBN 13 : 9811619891
Total Pages : 443 pages
Book Rating : 4.8/5 (116 download)
Download or read book Pythagorean Fuzzy Sets written by Harish Garg and published by Springer Nature. This book was released on 2021-07-22 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems. It discusses a wide range of theoretical and practical information to the latest research on Pythagorean fuzzy sets, allowing readers to gain an extensive understanding of both fundamentals and applications. It aims at solving various decision-making problems such as medical diagnosis, pattern recognition, construction problems, technology selection, and more, under the Pythagorean fuzzy environment, making it of much value to students, researchers, and professionals associated with the field.
Author : Witold Pedrycz
Publisher : John Wiley & Sons
ISBN 13 : 0470168951
Total Pages : 550 pages
Book Rating : 4.4/5 (71 download)
Download or read book Fuzzy Systems Engineering written by Witold Pedrycz and published by John Wiley & Sons. This book was released on 2007-10-12 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained treatment of fuzzy systems engineering, offering conceptual fundamentals, design methodologies, development guidelines, and carefully selected illustrative material Forty years have passed since the birth of fuzzy sets, in which time a wealth of theoretical developments, conceptual pursuits, algorithmic environments, and other applications have emerged. Now, this reader-friendly book presents an up-to-date approach to fuzzy systems engineering, covering concepts, design methodologies, and algorithms coupled with interpretation, analysis, and underlying engineering knowledge. The result is a holistic view of fuzzy sets as a fundamental component of computational intelligence and human-centric systems. Throughout the book, the authors emphasize the direct applicability and limitations of the concepts being discussed, and historical and bibliographical notes are included in each chapter to help readers view the developments of fuzzy sets from a broader perspective. A radical departure from current books on the subject, Fuzzy Systems Engineering presents fuzzy sets as an enabling technology whose impact, contributions, and methodology stretch far beyond any specific discipline, making it applicable to researchers and practitioners in engineering, computer science, business, medicine, bioinformatics, and computational biology. Additionally, three appendices and classroom-ready electronic resources make it an ideal textbook for advanced undergraduate- and graduate-level courses in engineering and science.
Author : James J. Buckley
Publisher : Springer Science & Business Media
ISBN 13 : 9783790814477
Total Pages : 300 pages
Book Rating : 4.8/5 (144 download)
Download or read book An Introduction to Fuzzy Logic and Fuzzy Sets written by James J. Buckley and published by Springer Science & Business Media. This book was released on 2002-01-11 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : George J Klir
Publisher : World Scientific
ISBN 13 : 9814499811
Total Pages : 842 pages
Book Rating : 4.8/5 (144 download)
Download or read book Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems: Selected Papers By Lotfi A Zadeh written by George J Klir and published by World Scientific. This book was released on 1996-05-30 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of selected papers written by the founder of fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the founder of this field, but has also been the principal contributor to its development over the last 30 years, the papers contain virtually all the major ideas in fuzzy set theory, fuzzy logic, and fuzzy systems in their historical context. Many of the ideas presented in the papers are still open to further development. The book is thus an important resource for anyone interested in the areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well as their applications. Moreover, the book is also intended to play a useful role in higher education, as a rich source of supplementary reading in relevant courses and seminars.The book contains a bibliography of all papers published by Zadeh in the period 1949-1995. It also contains an introduction that traces the development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic, and fuzzy systems via his papers. The ideas range from his 1965 seminal idea of the concept of a fuzzy set to ideas reflecting his current interest in computing with words — a computing in which linguistic expressions are used in place of numbers.Places in the papers, where each idea is presented can easily be found by the reader via the Subject Index.
Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
ISBN 13 : 9400932499
Total Pages : 342 pages
Book Rating : 4.4/5 (9 download)
Download or read book Fuzzy Sets, Decision Making, and Expert Systems written by Hans-Jürgen Zimmermann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the two decades since its inception by L. Zadeh, the theory of fuzzy sets has matured into a wide-ranging collection of concepts, models, and tech niques for dealing with complex phenomena which do not lend themselves to analysis by classical methods based on probability theory and bivalent logic. Nevertheless, a question which is frequently raised by the skeptics is: Are there, in fact, any significant problem areas in which the use of the theory of fuzzy sets leads to results which could not be obtained by classical methods? The approximately 5000 publications in this area, which are scattered over many areas such as artificial intelligence, computer science, control engineering, decision making, logic, operations research, pattern recognition, robotics and others, provide an affirmative answer to this question. In spite of the large number of publications, good and comprehensive textbooks which could facilitate the access of newcomers to this area and support teaching were missing until recently. To help to close this gap and to provide a textbook for courses in fuzzy set theory which can also be used as an introduction to this field, the first volume ofthis book was published in 1985 [Zimmermann 1985 b]. This volume tried to cover fuzzy set theory and its applications as extensively as possible. Applications could, therefore, only be described to a limited extent and not very detailed.
Author : George Klir
Publisher : Springer Science & Business Media
ISBN 13 : 9783790812428
Total Pages : 196 pages
Book Rating : 4.8/5 (124 download)
Download or read book Uncertainty-Based Information written by George Klir and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information is precious. It reduces our uncertainty in making decisions. Knowledge about the outcome of an uncertain event gives the possessor an advantage. It changes the course of lives, nations, and history itself. Information is the food of Maxwell's demon. His power comes from know ing which particles are hot and which particles are cold. His existence was paradoxical to classical physics and only the realization that information too was a source of power led to his taming. Information has recently become a commodity, traded and sold like or ange juice or hog bellies. Colleges give degrees in information science and information management. Technology of the computer age has provided access to information in overwhelming quantity. Information has become something worth studying in its own right. The purpose of this volume is to introduce key developments and results in the area of generalized information theory, a theory that deals with uncertainty-based information within mathematical frameworks that are broader than classical set theory and probability theory. The volume is organized as follows.
Author : Charles C. Ragin
Publisher : University of Chicago Press
ISBN 13 : 9780226702773
Total Pages : 374 pages
Book Rating : 4.7/5 (27 download)
Download or read book Fuzzy-Set Social Science written by Charles C. Ragin and published by University of Chicago Press. This book was released on 2000-08 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this innovative approach to the practice of social scienceÇharles Ragin explores the use of fuzzy sets to bridge the divide between quantitive and qualitative methods. He argues that fuzzy sets allow a far richer dialogue between ideas and evidence in social research than previously possible.
Author : Michael Smithson
Publisher : SAGE
ISBN 13 : 9780761929864
Total Pages : 116 pages
Book Rating : 4.9/5 (298 download)
Download or read book Fuzzy Set Theory written by Michael Smithson and published by SAGE. This book was released on 2006-02-17 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces fuzzy set theory to social science researchers. Fuzzy sets are categories with blurred boundaries. With classical sets, objects are either in the set or not, but objects can belong partially to more than one fuzzy set at a time. Many concepts in the social sciences have this characteristic, and fuzzy set theory provides methods for systematically dealing with them. A primary reason for not going beyond programmatic statements and rather unsophisticated uses of fuzzy set theory has been the lack of practical methods for combining fuzzy set concepts with statistical methods. This monograph takes that topic as its major focus, and provides explicit guides for researchers who would like to harness fuzzy set concepts while being able to make statistical inferences and test their models. Real examples and data-sets from several disciplines illustrate the techniques and applications, demonstrating how a combination of fuzzy sets and statistics enable researchers to analyze their data in new ways.
Author : André Jones
Publisher : Springer Science & Business Media
ISBN 13 : 9400946821
Total Pages : 405 pages
Book Rating : 4.4/5 (9 download)
Download or read book Fuzzy Sets Theory and Applications written by André Jones and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems in decision making and in other areas such as pattern recogni tion, control, structural engineering etc. involve numerous aspects of uncertainty. Additional vagueness is introduced as models become more complex but not necessarily more meaningful by the added details. During the last two decades one has become more and more aware of the fact that not all this uncertainty is of stochastic (random) cha racter and that, therefore, it can not be modelled appropriately by probability theory. This becomes the more obvious the more we want to represent formally human knowledge. As far as uncertain data are concerned, we have neither instru ments nor reasoning at our disposal as well defined and unquestionable as those used in the probability theory. This almost infallible do main is the result of a tremendous work by the whole scientific world. But when measures are dubious, bad or no longer possible and when we really have to make use of the richness of human reasoning in its variety, then the theories dealing with the treatment of uncertainty, some quite new and other ones older, provide the required complement, and fill in the gap left in the field of knowledge representation. Nowadays, various theories are widely used: fuzzy sets, belief function, the convenient associations between probability and fuzzines~ etc ••• We are more and more in need of a wide range of instruments and theories to build models that are more and more adapted to the most complex systems.
