Advances In Fuzzy Sets Possibility Theory And Applications

Author : P.P. Wang
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461337546

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Advances in Fuzzy Sets, Possibility Theory, and Applications by P.P. Wang Pdf

Since its inception by Professor Lotfi Zadeh about 18 years ago, the theory of fuzzy sets has evolved in many directions, and is finding applications in a wide variety of fields in which the phenomena under study are too complex or too ill-defined to be analyzed by conventional techniques. Thus, by providing a basis for a systematic approach to approximate reasoning and inexact inference, the theory of fuzzy sets may well have a substantial impact on scientific methodology in the years ahead, particularly in the realms of psychology, economics, engineering, law, medicine, decision-analysis, information retrieval, and artificial intelli gence. This volume consists of 24 selected papers invited by the editor, Professor Paul P. Wang. These papers cover the theory and applications of fuzzy sets, almost equal in number. We are very fortunate to have Professor A. Kaufmann to contribute an overview paper of the advances in fuzzy sets. One special feature of this volume is the strong participation of Chinese researchers in this area. The fact is that Chinese mathematicians, scientists and engineers have made important contributions to the theory and applications of fuzzy sets through the past decade. However, not until the visit of Professor A. Kaufmann to China in 1974 and again in 1980, did the Western World become fully aware of the important work of Chinese researchers. Now, Professor Paul Wang has initiated the effort to document these important contributions in this volume to expose them to the western researchers.

Author : Madan M. Gupta,Rammohan K. Ragade,Ronald R. Yager
Publisher : North-Holland
Page : 772 pages
File Size : 44,7 Mb
Release : 1979
Category : Mathematics
ISBN : MINN:319510009994689

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Advances in Fuzzy Set Theory and Applications by Madan M. Gupta,Rammohan K. Ragade,Ronald R. Yager Pdf

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 41,7 Mb
Release : 2011-06-27
Category : Mathematics
ISBN : 9789401006460

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Fuzzy Set Theory—and Its Applications by Hans-Jürgen Zimmermann Pdf

This introduction to fuzzy set theory and its multitude of applications seeks to balance the character of the book with the dynamic nature of the research. This edition includes new chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. Existing material has been updated, and extended exercises are included.

Author : H. J. Zimmerman
Publisher : Allied Publishers
Page : 430 pages
File Size : 40,8 Mb
Release : 1996
Category : Fuzzy sets
ISBN : 8170235251

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Fuzzy Set Theory and Its Applications by H. J. Zimmerman Pdf

Author : Hans-Jürgen Zimmermann
Publisher : Springer
Page : 399 pages
File Size : 53,5 Mb
Release : 2014-08-23
Category : Business & Economics
ISBN : 9401579512

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Fuzzy Set Theory — and Its Applications by Hans-Jürgen Zimmermann Pdf

Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others. Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction. This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.

Author : Didier J. Dubois,Henri Prade,Ronald R. Yager
Publisher : Morgan Kaufmann
Page : 929 pages
File Size : 51,7 Mb
Release : 2014-05-12
Category : Computers
ISBN : 9781483214504

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Readings in Fuzzy Sets for Intelligent Systems by Didier J. Dubois,Henri Prade,Ronald R. Yager Pdf

Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.

Author : Lotfi A Zadeh
Publisher : World Scientific
Page : 840 pages
File Size : 41,9 Mb
Release : 1996-05-30
Category : Computers
ISBN : 9789814499811

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Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems by Lotfi A Zadeh Pdf

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. Contents:Fuzzy SetsFuzzy Sets and SystemsAbstraction and Pattern ClassificationShadows of Fuzzy SetsFuzzy AlgorithmsNote on Fuzzy LanguagesTowards a Theory of Fuzzy SystemsQuantitative Fuzzy SemanticsA Rationale for Fuzzy ControlOn Fuzzy Algorithmsand other papers Readership: Scientists, mathematicians, engineers and graduate students in various areas. keywords:Fuzzy Set Theory;Fuzzy Logic;Fuzzy Systems;Soft Computing;Information Granularity;Approximate Reasoning;Possibility Theory “Also, I recommend highly this volume to everyone — from the beginner to the most experienced researcher and practitioner — who wishes to learn the philosophy or contribute to this advancing field of fuzzy logic and intelligent systems in the decades to come.” Int'l Journal of Uncertainty, Fuzziness and Knowledged-Based Systems “Very nice additions are a bibliography of Zadeh's papers and books, an introduction which puts the selected papers into a broader perspective, and a subject index.” Mathematical Reviews

Author : Ronald R. Yager
Publisher : Unknown
Page : 654 pages
File Size : 41,7 Mb
Release : 1982
Category : Mathematics
ISBN : UOM:39015042077639

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Fuzzy Set and Possibility Theory by Ronald R. Yager Pdf

Author : Anonim
Publisher : Academic Press
Page : 293 pages
File Size : 49,9 Mb
Release : 1989-07-17
Category : Computers
ISBN : 008056660X

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Advances in Computers by Anonim Pdf

Advances in Computers

Author : Didier Dubois,Henri Prade
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468452877

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Possibility Theory by Didier Dubois,Henri Prade Pdf

In the evolution of scientific theories, concern with uncertainty is almost invariably a concomitant of maturation. This is certainly true of the evolution· of physics, economics, operations research, communication sciences, and a host of other fields. And it is true of what has been happening more recently in the area of artificial intelligence, most notably in the development of theories relating to the management of uncertainty in knowledge-based systems. In science, it is traditional to deal with uncertainty through the use of probability theory. In recent years, however, it has become increasingly clear that there are some important facets of uncertainty which do not lend themselves to analysis by classical probability-based methods. One such facet is that of lexical elasticity, which relates to the fuzziness of words in natural languages. As a case in point, even a simple relation X, Y, and Z, expressed as if X is small and Y is very large then between Z is not very small, does not lend itself to a simple interpretation within the framework of probability theory by reason of the lexical elasticity of the predicates small and large.

Author : Michael Smithson
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Psychology
ISBN : 9781461246800

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Fuzzy Set Analysis for Behavioral and Social Sciences by Michael Smithson Pdf

Author : R. Lowen,M.R. Roubens
Publisher : Springer Science & Business Media
Page : 572 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401120142

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Fuzzy Logic by R. Lowen,M.R. Roubens Pdf

Fuzzy Logic: State of the Art covers a wide range of both theory and applications of fuzzy sets, ranging from mathematical basics, through artificial intelligence, computer management and systems science to engineering applications. Fuzzy Logic will be of interest to researchers working in fuzzy set theory and its applications.

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 42,9 Mb
Release : 2013-03-09
Category : Business & Economics
ISBN : 9789401579490

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Fuzzy Set Theory — and Its Applications by Hans-Jürgen Zimmermann Pdf

Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others. Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction. This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.

Author : Didier Dubois,Henri Prade
Publisher : Springer Science & Business Media
Page : 660 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461544296

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Fundamentals of Fuzzy Sets by Didier Dubois,Henri Prade Pdf

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 : Shahnaz N. Shahbazova,Michio Sugeno,Janusz Kacprzyk
Publisher : Springer Nature
Page : 211 pages
File Size : 40,6 Mb
Release : 2020-03-05
Category : Technology & Engineering
ISBN : 9783030388935

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Recent Developments in Fuzzy Logic and Fuzzy Sets by Shahnaz N. Shahbazova,Michio Sugeno,Janusz Kacprzyk Pdf

This book provides a timely and comprehensive overview of current theories and methods in fuzzy logic, as well as relevant applications in a variety of fields of science and technology. Dedicated to Lotfi A. Zadeh on his one year death anniversary, the book goes beyond a pure commemorative text. Yet, it offers a fresh perspective on a number of relevant topics, such as computing with words, theory of perceptions, possibility theory, and decision-making in a fuzzy environment. Written by Zadeh’s closest colleagues and friends, the different chapters are intended both as a timely reference guide and a source of inspiration for scientists, developers and researchers who have been dealing with fuzzy sets or would like to learn more about their potential for their future research.