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Fuzzy Set Theory And Its Applications


Fuzzy Set Theory And Its Applications
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Fuzzy Set Theory And Its Applications


Fuzzy Set Theory And Its Applications
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Author : Hans-Jürgen Zimmermann
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27

Fuzzy Set Theory And Its Applications written by Hans-Jürgen Zimmermann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Mathematics categories.


Since its inception, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of fuzzy technology can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, robotics, and others. Theoretical advances have been made in many directions. The primary goal of Fuzzy Set Theory - and its Applications, Fourth Edition is to provide a textbook for courses in fuzzy set theory, and a book that can be used as an introduction. To balance the character of a textbook with the dynamic nature of this research, many useful references have been added to develop a deeper understanding for the interested reader. Fuzzy Set Theory - and its Applications, Fourth Edition updates the research agenda 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. Chapters have been updated and extended exercises are included.



Fuzzy Set Theory And Its Applications


Fuzzy Set Theory And Its Applications
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Author : Hans-Jürgen Zimmermann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Fuzzy Set Theory And Its Applications written by Hans-Jürgen Zimmermann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


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.



Fuzzy Set Theory Fuzzy Logic And Their Applications


Fuzzy Set Theory Fuzzy Logic And Their Applications
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Author : Bhargava A.K.
language : en
Publisher: S. Chand Publishing
Release Date :

Fuzzy Set Theory Fuzzy Logic And Their Applications written by Bhargava A.K. and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.


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



Fuzzy Sets Fuzzy Logic Applications


Fuzzy Sets Fuzzy Logic Applications
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Author : George Bojadziev
language : en
Publisher: World Scientific
Release Date : 1996-01-09

Fuzzy Sets Fuzzy Logic Applications written by George Bojadziev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-09 with Computers categories.


Fuzzy sets and fuzzy logic are powerful mathematical tools for modeling and controlling uncertain systems in industry, humanity, and nature; they are facilitators for approximate reasoning in decision making in the absence of complete and precise information. Their role is significant when applied to complex phenomena not easily described by traditional mathematics.The unique feature of the book is twofold: 1) It is the first introductory course (with examples and exercises) which brings in a systematic way fuzzy sets and fuzzy logic into the educational university and college system. 2) It is designed to serve as a basic text for introducing engineers and scientists from various fields to the theory of fuzzy sets and fuzzy logic, thus enabling them to initiate projects and make applications.



Fuzzy Set Theory


Fuzzy Set Theory
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Author : R. Lowen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fuzzy Set Theory written by R. Lowen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The purpose of this book is to provide the reader who is interested in applications of fuzzy set theory, in the first place with a text to which he or she can refer for the basic theoretical ideas, concepts and techniques in this field and in the second place with a vast and up to date account of the literature. Although there are now many books about fuzzy set theory, and mainly about its applications, e. g. in control theory, there is not really a book available which introduces the elementary theory of fuzzy sets, in what I would like to call "a good degree of generality". To write a book which would treat the entire range of results concerning the basic theoretical concepts in great detail and which would also deal with all possible variants and alternatives of the theory, such as e. g. rough sets and L-fuzzy sets for arbitrary lattices L, with the possibility-probability theories and interpretations, with the foundation of fuzzy set theory via multi-valued logic or via categorical methods and so on, would have been an altogether different project. This book is far more modest in its mathematical content and in its scope.



Fuzzy Set Theory


Fuzzy Set Theory
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Author : Michael Smithson
language : en
Publisher: SAGE
Release Date : 2006-02-17

Fuzzy Set Theory written by Michael Smithson and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-17 with Mathematics categories.


Dealing with sets or categories whose boundaries are blurry or 'fuzzy', this book is an accessible introduction to fuzzy set theory, focusing on its applicability to the social sciences.



Fuzzy Sets Theory And Applications


Fuzzy Sets Theory And Applications
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Author : André Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fuzzy Sets Theory And Applications written by André Jones and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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.



Metric Spaces Of Fuzzy Sets


Metric Spaces Of Fuzzy Sets
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Author : Phil Diamond
language : en
Publisher: World Scientific
Release Date : 1994

Metric Spaces Of Fuzzy Sets written by Phil Diamond and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ?n. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis.This book is distinctly mathematical in its orientation and style, in contrast with many of the other books now available on fuzzy sets, which, although all making use of mathematical formalism to some extent, are essentially motivated by and oriented towards more immediate applications and related practical issues. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.



Fuzzy Data Analysis


Fuzzy Data Analysis
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Author : Hans Bandemer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Fuzzy Data Analysis written by Hans Bandemer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Fuzzy data such as marks, scores, verbal evaluations, imprecise observations, experts' opinions and grey tone pictures, are quite common. In Fuzzy Data Analysis the authors collect their recent results providing the reader with ideas, approaches and methods for processing such data when looking for sub-structures in knowledge bases for an evaluation of functional relationship, e.g. in order to specify diagnostic or control systems. The modelling presented uses ideas from fuzzy set theory and the suggested methods solve problems usually tackled by data analysis if the data are real numbers. Fuzzy Data Analysis is self-contained and is addressed to mathematicians oriented towards applications and to practitioners in any field of application who have some background in mathematics and statistics.



Fuzzy Sets Fuzzy Logic And Fuzzy Systems


Fuzzy Sets Fuzzy Logic And Fuzzy Systems
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Author : Lotfi Asker Zadeh
language : en
Publisher: World Scientific
Release Date : 1996

Fuzzy Sets Fuzzy Logic And Fuzzy Systems written by Lotfi Asker Zadeh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Computers categories.


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.