Axiomatic Fuzzy Set Theory And Its Applications

Author : Xiaodong Liu,Witold Pedrycz
Publisher : Springer
Page : 514 pages
File Size : 42,6 Mb
Release : 2009-04-01
Category : Mathematics
ISBN : 9783642004025

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Axiomatic Fuzzy Set Theory and Its Applications by Xiaodong Liu,Witold Pedrycz Pdf

It is well known that “fuzziness”—informationgranulesand fuzzy sets as one of its formal manifestations— is one of important characteristics of human cognitionandcomprehensionofreality. Fuzzy phenomena existinnature and are encountered quite vividly within human society. The notion of a fuzzy set has been introduced by L. A. , Zadeh in 1965 in order to formalize human concepts, in connection with the representation of human natural language and computing with words. Fuzzy sets and fuzzy logic are used for mod- ing imprecise modes of reasoning that play a pivotal role in the remarkable human abilities to make rational decisions in an environment a?ected by - certainty and imprecision. A growing number of applications of fuzzy sets originated from the “empirical-semantic” approach. From this perspective, we were focused on some practical interpretations of fuzzy sets rather than being oriented towards investigations of the underlying mathematical str- tures of fuzzy sets themselves. For instance, in the context of control theory where fuzzy sets have played an interesting and practically relevant function, the practical facet of fuzzy sets has been stressed quite signi?cantly. However, fuzzy sets can be sought as an abstract concept with all formal underpinnings stemming from this more formal perspective. In the context of applications, it is worth underlying that membership functions do not convey the same meaning at the operational level when being cast in various contexts.

Author : Xiaodong Liu,Witold Pedrycz
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 44,5 Mb
Release : 2009-04-07
Category : Mathematics
ISBN : 9783642004018

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Axiomatic Fuzzy Set Theory and Its Applications by Xiaodong Liu,Witold Pedrycz Pdf

It is well known that “fuzziness”—informationgranulesand fuzzy sets as one of its formal manifestations— is one of important characteristics of human cognitionandcomprehensionofreality. Fuzzy phenomena existinnature and are encountered quite vividly within human society. The notion of a fuzzy set has been introduced by L. A. , Zadeh in 1965 in order to formalize human concepts, in connection with the representation of human natural language and computing with words. Fuzzy sets and fuzzy logic are used for mod- ing imprecise modes of reasoning that play a pivotal role in the remarkable human abilities to make rational decisions in an environment a?ected by - certainty and imprecision. A growing number of applications of fuzzy sets originated from the “empirical-semantic” approach. From this perspective, we were focused on some practical interpretations of fuzzy sets rather than being oriented towards investigations of the underlying mathematical str- tures of fuzzy sets themselves. For instance, in the context of control theory where fuzzy sets have played an interesting and practically relevant function, the practical facet of fuzzy sets has been stressed quite signi?cantly. However, fuzzy sets can be sought as an abstract concept with all formal underpinnings stemming from this more formal perspective. In the context of applications, it is worth underlying that membership functions do not convey the same meaning at the operational level when being cast in various contexts.

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 49,9 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 : 46,5 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 Science & Business Media
Page : 441 pages
File Size : 43,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401587020

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

Fuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers. The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with 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. All chapters have been updated. Exercises are included.

Author : Toshiro Terano,Kiyoji Asai,Michio Sugeno
Publisher : Academic Press
Page : 314 pages
File Size : 43,6 Mb
Release : 2014-05-10
Category : Technology & Engineering
ISBN : 9781483262932

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Applied Fuzzy Systems by Toshiro Terano,Kiyoji Asai,Michio Sugeno Pdf

Applied Fuzzy Systems provides information pertinent to the fundamental aspects of fuzzy systems theory and its application. This book discusses the development of high-level artificial intelligence and information processing systems, as well as the realization of fuzzy computers. Organized into six chapters, this book begins with an overview of the fundamental problems addressed by fuzzy systems. This text then reviews standard computer logic or two-valued Boolean algebra. Other chapters consider bus scheduling, evaluation of structural reliability, applications of schema systems for decision-making, and processing of natural-language information and systems for medical diagnosis as examples of fuzzy expert systems. This book discusses as well a practical fuzzy expert system for durability evaluations of reinforced concrete slabs for bridges, along with an example of application. The final chapter deals with the important parts of the construction of fuzzy computers, their architecture, and the outlook for the future. This book is a valuable resource for engineers, mathematicians, technicians, and research workers.

Author : Da Ruan
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461523574

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Fuzzy Set Theory and Advanced Mathematical Applications by Da Ruan Pdf

Fuzzy Set Theory and Advanced Mathematical Applications contains contributions by many of the leading experts in the field, including coverage of the mathematical foundations of the theory, decision making and systems science, and recent developments in fuzzy neural control. The book supplies a readable, practical toolkit with a clear introduction to fuzzy set theory and its evolution in mathematics and new results on foundations of fuzzy set theory, decision making and systems science, and fuzzy control and neural systems. Each chapter is self-contained, providing up-to-date coverage of its subject. Audience: An important reference work for university students, and researchers and engineers working in both industrial and academic settings.

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 42,5 Mb
Release : 2013-12-01
Category : Business & Economics
ISBN : 9789401571531

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

Author : Madan M. Gupta,Rammohan K. Ragade,Ronald R. Yager
Publisher : North-Holland
Page : 772 pages
File Size : 44,8 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 : Michael Smithson,Jay Verkuilen
Publisher : SAGE
Page : 116 pages
File Size : 40,5 Mb
Release : 2006-02-17
Category : Mathematics
ISBN : 076192986X

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Fuzzy Set Theory by Michael Smithson,Jay Verkuilen Pdf

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 : Witold Pedrycz
Publisher : Springer Nature
Page : 287 pages
File Size : 44,7 Mb
Release : 2020-08-11
Category : Technology & Engineering
ISBN : 9783030528003

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An Introduction to Computing with Fuzzy Sets by Witold Pedrycz Pdf

This book provides concise yet thorough coverage of the fundamentals and technology of fuzzy sets. Readers will find a lucid and systematic introduction to the essential concepts of fuzzy set-based information granules, their processing and detailed algorithms. Timely topics and recent advances in fuzzy modeling and its principles, neurocomputing, fuzzy set estimation, granulation–degranulation, and fuzzy sets of higher type and order are discussed. In turn, a wealth of examples, case studies, problems and motivating arguments, spread throughout the text and linked with various areas of artificial intelligence, will help readers acquire a solid working knowledge. Given the book’s well-balanced combination of the theory and applied facets of fuzzy sets, it will appeal to a broad readership in both academe and industry. It is also ideally suited as a textbook for graduate and undergraduate students in science, engineering, and operations research.

Author : George J. Klir,Bo Yuan
Publisher : Prentice Hall
Page : 600 pages
File Size : 55,8 Mb
Release : 1995
Category : Computers
ISBN : UOM:39015034424906

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Fuzzy Sets and Fuzzy Logic by George J. Klir,Bo Yuan Pdf

No previous knowledge of fuzzy set theory and fuzzy logic is required for understanding the material covered in the book. Although knowledge of basic ideas of classical (nonfuzzy) set theory and classical (two-valued) logic is useful, fundamentals of these subject areas are briefly overviewed in the book. In addition, basic ideas of neural networks, genetic algorithms, and rough sets are also explained. This makes the book virtually self-contained.

Author : Wladyslaw Homenda,Witold Pedrycz
Publisher : John Wiley & Sons
Page : 320 pages
File Size : 50,8 Mb
Release : 2018-02-09
Category : Technology & Engineering
ISBN : 9781119302834

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Pattern Recognition by Wladyslaw Homenda,Witold Pedrycz Pdf

A new approach to the issue of data quality in pattern recognition Detailing foundational concepts before introducing more complex methodologies and algorithms, this book is a self-contained manual for advanced data analysis and data mining. Top-down organization presents detailed applications only after methodological issues have been mastered, and step-by-step instructions help ensure successful implementation of new processes. By positioning data quality as a factor to be dealt with rather than overcome, the framework provided serves as a valuable, versatile tool in the analysis arsenal. For decades, practical need has inspired intense theoretical and applied research into pattern recognition for numerous and diverse applications. Throughout, the limiting factor and perpetual problem has been data—its sheer diversity, abundance, and variable quality presents the central challenge to pattern recognition innovation. Pattern Recognition: A Quality of Data Perspective repositions that challenge from a hurdle to a given, and presents a new framework for comprehensive data analysis that is designed specifically to accommodate problem data. Designed as both a practical manual and a discussion about the most useful elements of pattern recognition innovation, this book: Details fundamental pattern recognition concepts, including feature space construction, classifiers, rejection, and evaluation Provides a systematic examination of the concepts, design methodology, and algorithms involved in pattern recognition Includes numerous experiments, detailed schemes, and more advanced problems that reinforce complex concepts Acts as a self-contained primer toward advanced solutions, with detailed background and step-by-step processes Introduces the concept of granules and provides a framework for granular computing Pattern recognition plays a pivotal role in data analysis and data mining, fields which are themselves being applied in an expanding sphere of utility. By facing the data quality issue head-on, this book provides students, practitioners, and researchers with a clear way forward amidst the ever-expanding data supply.

Author : Suresh Chandra Satapathy,P. S. Avadhani,Siba K. Udgata,Sadasivuni Lakshminarayana
Publisher : Springer Science & Business Media
Page : 809 pages
File Size : 53,7 Mb
Release : 2013-10-19
Category : Technology & Engineering
ISBN : 9783319031071

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ICT and Critical Infrastructure: Proceedings of the 48th Annual Convention of Computer Society of India- Vol I by Suresh Chandra Satapathy,P. S. Avadhani,Siba K. Udgata,Sadasivuni Lakshminarayana Pdf

This volume contains 88 papers presented at CSI 2013: 48th Annual Convention of Computer Society of India with the theme “ICT and Critical Infrastructure”. The convention was held during 13th –15th December 2013 at Hotel Novotel Varun Beach, Visakhapatnam and hosted by Computer Society of India, Vishakhapatnam Chapter in association with Vishakhapatnam Steel Plant, the flagship company of RINL, India. This volume contains papers mainly focused on Computational Intelligence and its applications, Mobile Communications and social Networking, Grid Computing, Cloud Computing, Virtual and Scalable Applications, Project Management and Quality Systems and Emerging Technologies in hardware and Software.

Author : Kwang Hyung Lee
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 44,6 Mb
Release : 2004-10-07
Category : Computers
ISBN : 3540229884

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First Course on Fuzzy Theory and Applications by Kwang Hyung Lee Pdf

Fuzzy theory has become a subject that generates much interest among the courses for graduate students. However, it was not easy to find a suitable textbook to use in the introductory course and to recommend to the students who want to self-study. The main purpose of this book is just to meet that need. The author has given lectures on the fuzzy theory and its applications for ten years and continuously developed lecture notes on the subject. This book is a publication of the modification and summary of the lecture notes. The fundamental idea of the book is to provide basic and concrete concepts of the fuzzy theory and its applications, and thus the author focused on easy illustrations of the basic concepts. There are numerous examples and figures to help readers to understand and also added exercises at the end of each chapter. This book consists of two parts: a theory part and an application part. The first part (theory part) includes chapters from 1 to 8. Chapters 1 and 2 introduce basic concepts of fuzzy sets and operations, and Chapters 3 and 4 deal with the multi-dimensional fuzzy sets. Chapters 5 and 6 are extensions of the fuzzy theory to the number and function, and Chapters 7 and 8 are developments of fuzzy properties on the probability and logic theories.