Terminological Dif Culties In Fuzzy Set Theory The Case Of Intuitionistic Fuzzy Sets
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Intuitionistic Fuzzy Sets
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Author : Krassimir T. Atanassov
language : en
Publisher: Physica
Release Date : 2013-03-20
Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-20 with Mathematics categories.
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.
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set
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Author : Florentin SMARANDACHE
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set written by Florentin SMARANDACHE and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2010-08-23
Neutrosophic Set A Generalization Of The Intuitionistic Fuzzy Set written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-23 with Mathematics categories.
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
On Intuitionistic Fuzzy Sets Theory
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Author : Krassimir T. Atanassov
language : en
Publisher: Springer
Release Date : 2012-04-28
On Intuitionistic Fuzzy Sets Theory written by Krassimir T. Atanassov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-28 with Technology & Engineering categories.
This book aims to be a comprehensive and accurate survey of state-of-art research on intuitionistic fuzzy sets theory and could be considered a continuation and extension of the author ́s previous book on Intuitionistic Fuzzy Sets, published by Springer in 1999 (Atanassov, Krassimir T., Intuitionistic Fuzzy Sets, Studies in Fuzziness and soft computing, ISBN 978-3-7908-1228-2, 1999). Since the aforementioned book has appeared, the research activity of the author within the area of intuitionistic fuzzy sets has been expanding into many directions. The results of the author ́s most recent work covering the past 12 years as well as the newest general ideas and open problems in this field have been therefore collected in this new book.
Interval Valued Intuitionistic Fuzzy Sets
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Author : Krassimir T. Atanassov
language : en
Publisher: Springer Nature
Release Date : 2019-09-21
Interval Valued Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-21 with Technology & Engineering categories.
The book offers a comprehensive survey of interval-valued intuitionistic fuzzy sets. It reports on cutting-edge research carried out by the founder of the intuitionistic fuzzy sets, Prof. Krassimir Atanassov, giving a special emphasis to the practical applications of this extension. A few interesting case studies, such as in the area of data mining, decision making and pattern recognition, among others, are discussed in detail. The book offers the first comprehensive guide on interval-valued intuitionistic fuzzy sets. By providing the readers with a thorough survey and important practical details, it is expected to support them in carrying out applied research and to encourage them to test the theory behind the sets for new advanced applications. The book is a valuable reference resource for graduate students and researchers alike.
Intuitionistic Fuzzy Information Aggregation
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Author : Zeshui Xu
language : en
Publisher: Springer
Release Date : 2012-09-07
Intuitionistic Fuzzy Information Aggregation written by Zeshui Xu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-07 with Business & Economics categories.
"Intuitionistic Fuzzy Information Aggregation: Theory and Applications" is the first book to provide a thorough and systematic introduction to intuitionistic fuzzy aggregation methods, the correlation, distance and similarity measures of intuitionistic fuzzy sets and various decision-making models and approaches based on the above-mentioned information processing tools. Through numerous practical examples and illustrations with tables and figures, it offers researchers and professionals in the fields of fuzzy mathematics, information fusion and decision analysis the most recent research findings, developed by the authors. Zeshui Xu is a Professor at the PLA University of Science and Technology, China. Xiaoqiang Cai is a Professor at the Chinese University of Hong Kong, China.
Developments In Fuzzy Sets Intuitionistic Fuzzy Sets Generalized Nets And Related Topics
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Author : Krassimir Todorov Atanassov
language : en
Publisher:
Release Date : 2008
Developments In Fuzzy Sets Intuitionistic Fuzzy Sets Generalized Nets And Related Topics written by Krassimir Todorov Atanassov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Fundamentals Of Fuzzy Sets
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Author : Didier Dubois
language : en
Publisher: Springer
Release Date : 2000-01-31
Fundamentals Of Fuzzy Sets written by Didier Dubois and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-31 with Mathematics categories.
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.
Global Project Management
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Author : Jean Binder
language : en
Publisher: CRC Press
Release Date : 2016-04-22
Global Project Management written by Jean Binder and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-22 with Business & Economics categories.
Ongoing research shows that whilst 90 per cent of large companies are conducting global projects to take advantage of distributed skills, around-the-clock operations and virtual team environments, less than one third of them have effective, established practices to help project managers and team members working over a distance. As a consequence, most organisations struggle to reach the required levels of quality and effectiveness from these projects because their methods and practices are not adapted to a global multi-cultural environment, where most communication is in writing and asynchronous. Global Project Management describes how to adapt your organisation and your projects to thrive in this environment. The book goes beyond the recommendations on collaborative tools, to suggest the development of best practices on cross-cultural team management and global communication, recommend organisational changes and project structures, and propose alternatives for the implementation of the new practices and methods. The text is filled with real-life examples and techniques and illustrates how to apply the recommendations as part of the successful management of any global project.
Fuzzy Classifier Design
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Author : Ludmila I. Kuncheva
language : en
Publisher: Physica
Release Date : 2012-11-08
Fuzzy Classifier Design written by Ludmila I. Kuncheva and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-08 with Computers categories.
Fuzzy sets were first proposed by Lotfi Zadeh in his seminal paper [366] in 1965, and ever since have been a center of many discussions, fervently admired and condemned. Both proponents and opponents consider the argu ments pointless because none of them would step back from their territory. And stiH, discussions burst out from a single sparkle like a conference pa per or a message on some fuzzy-mail newsgroup. Here is an excerpt from an e-mail messagepostedin1993tofuzzy-mail@vexpert. dbai. twvien. ac. at. by somebody who signed "Dave". , . . . Why then the "logic" in "fuzzy logic"? I don't think anyone has successfully used fuzzy sets for logical inference, nor do I think anyone wiH. In my admittedly neophyte opinion, "fuzzy logic" is a misnomer, an oxymoron. (1 would be delighted to be proven wrong on that. ) . . . I carne to the fuzzy literature with an open mind (and open wal let), high hopes and keen interest. I am very much disiHusioned with "fuzzy" per se, but I did happen across some extremely interesting things along the way. " Dave, thanks for the nice quote! Enthusiastic on the surface, are not many of us suspicious deep down? In some books and journals the word fuzzy is religiously avoided: fuzzy set theory is viewed as a second-hand cheap trick whose aim is nothing else but to devalue good classical theories and open up the way to lazy ignorants and newcomers.
