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| Author | : Chris Cornelis |
| Publisher | : Springer |
| Total Pages | : 296 |
| Release | : 2010-10-14 |
| Genre | : Technology & Engineering |
| ISBN | : 3642166296 |
Download 35 Years of Fuzzy Set Theory Book in PDF, ePub and Kindle
This book is a tribute to Etienne E. Kerre on the occasion of his retirement on October 1st, 2010, after being active for 35 years in the field of fuzzy set theory. It gathers contributions from researchers that have been close to him in one way or another during his long and fruitful career. Besides a foreword by Lotfi A. Zadeh, it contains 13 chapters on both theoretical and applied topics in fuzzy set theory, divided in three parts: 1) logics and connectives, 2) data analysis, and 3) media applications. The first part deals with fuzzy logics and with operators on (extensions of) fuzzy sets. Part 2 deals with fuzzy methods in rough set theory, formal concept analysis, decision making and classification. The last part discusses the use of fuzzy methods for representing and manipulating media objects, such as images and text documents. The diversity of the topics that are covered reflect the diversity of Etienne's research interests, and indeed, the diversity of current research in the area of fuzzy set theory.
| Author | : Chris Cornelis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 296 |
| Release | : 2010-10-14 |
| Genre | : Computers |
| ISBN | : 3642166288 |
Download 35 Years of Fuzzy Set Theory Book in PDF, ePub and Kindle
This book is a tribute to Etienne E. Kerre on the occasion of his retirement on October 1st, 2010, after being active for 35 years in the field of fuzzy set theory. It gathers contributions from researchers that have been close to him in one way or another during his long and fruitful career. Besides a foreword by Lotfi A. Zadeh, it contains 13 chapters on both theoretical and applied topics in fuzzy set theory, divided in three parts: 1) logics and connectives, 2) data analysis, and 3) media applications. The first part deals with fuzzy logics and with operators on (extensions of) fuzzy sets. Part 2 deals with fuzzy methods in rough set theory, formal concept analysis, decision making and classification. The last part discusses the use of fuzzy methods for representing and manipulating media objects, such as images and text documents. The diversity of the topics that are covered reflect the diversity of Etienne's research interests, and indeed, the diversity of current research in the area of fuzzy set theory.
| Author | : Hans-Jürgen Zimmermann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 526 |
| Release | : 2011-06-27 |
| Genre | : Mathematics |
| ISBN | : 9401006466 |
Download Fuzzy Set Theory—and Its Applications Book in PDF, ePub and Kindle
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 |
| Total Pages | : 430 |
| Release | : 1996 |
| Genre | : Fuzzy sets |
| ISBN | : 9788170235255 |
Download Fuzzy Set Theory and Its Applications Book in PDF, ePub and Kindle
| Author | : Krassimir T. Atanassov |
| Publisher | : Physica |
| Total Pages | : 336 |
| Release | : 2013-03-20 |
| Genre | : Mathematics |
| ISBN | : 3790818704 |
Download Intuitionistic Fuzzy Sets Book in PDF, ePub and Kindle
In the beginning of 1983, I came across A. Kaufmann's book "Introduction to the theory of fuzzy sets" (Academic Press, New York, 1975). This was my first acquaintance with the fuzzy set theory. Then I tried to introduce a new component (which determines the degree of non-membership) in the definition of these sets and to study the properties of the new objects so defined. I defined ordinary operations as "n", "U", "+" and "." over the new sets, but I had began to look more seriously at them since April 1983, when I defined operators analogous to the modal operators of "necessity" and "possibility". The late George Gargov (7 April 1947 - 9 November 1996) is the "god father" of the sets I introduced - in fact, he has invented the name "intu itionistic fuzzy", motivated by the fact that the law of the excluded middle does not hold for them. Presently, intuitionistic fuzzy sets are an object of intensive research by scholars and scientists from over ten countries. This book is the first attempt for a more comprehensive and complete report on the intuitionistic fuzzy set theory and its more relevant applications in a variety of diverse fields. In this sense, it has also a referential character.
| Author | : Hans-Jürgen Zimmermann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 408 |
| Release | : 2013-03-09 |
| Genre | : Business & Economics |
| ISBN | : 9401579490 |
Download Fuzzy Set Theory — and Its Applications Book in PDF, ePub and Kindle
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 |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 660 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461544297 |
Download Fundamentals of Fuzzy Sets Book in PDF, ePub and Kindle
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 | : Eulalia Szmidt |
| Publisher | : Springer |
| Total Pages | : 151 |
| Release | : 2013-07-23 |
| Genre | : Technology & Engineering |
| ISBN | : 3319016407 |
Download Distances and Similarities in Intuitionistic Fuzzy Sets Book in PDF, ePub and Kindle
This book presents the state-of-the-art in theory and practice regarding similarity and distance measures for intuitionistic fuzzy sets. Quantifying similarity and distances is crucial for many applications, e.g. data mining, machine learning, decision making, and control. The work provides readers with a comprehensive set of theoretical concepts and practical tools for both defining and determining similarity between intuitionistic fuzzy sets. It describes an automatic algorithm for deriving intuitionistic fuzzy sets from data, which can aid in the analysis of information in large databases. The book also discusses other important applications, e.g. the use of similarity measures to evaluate the extent of agreement between experts in the context of decision making.
| Author | : Michał Baczyński |
| Publisher | : Springer |
| Total Pages | : 209 |
| Release | : 2013-01-11 |
| Genre | : Technology & Engineering |
| ISBN | : 364235677X |
Download Advances in Fuzzy Implication Functions Book in PDF, ePub and Kindle
Fuzzy implication functions are one of the main operations in fuzzy logic. They generalize the classical implication, which takes values in the set {0,1}, to fuzzy logic, where the truth values belong to the unit interval [0,1]. These functions are not only fundamental for fuzzy logic systems, fuzzy control, approximate reasoning and expert systems, but they also play a significant role in mathematical fuzzy logic, in fuzzy mathematical morphology and image processing, in defining fuzzy subsethood measures and in solving fuzzy relational equations. This volume collects 8 research papers on fuzzy implication functions. Three articles focus on the construction methods, on different ways of generating new classes and on the common properties of implications and their dependencies. Two articles discuss implications defined on lattices, in particular implication functions in interval-valued fuzzy set theories. One paper summarizes the sufficient and necessary conditions of solutions for one distributivity equation of implication. The following paper analyzes compositions based on a binary operation * and discusses the dependencies between the algebraic properties of this operation and the induced sup-* composition. The last article discusses some open problems related to fuzzy implications, which have either been completely solved or those for which partial answers are known. These papers aim to present today’s state-of-the-art in this area.
| Author | : Madan M. Gupta |
| Publisher | : North-Holland |
| Total Pages | : 782 |
| Release | : 1979 |
| Genre | : Mathematics |
| ISBN | : |
Download Advances in Fuzzy Set Theory and Applications Book in PDF, ePub and Kindle
