On Intuitionistic Fuzzy Sets Theory
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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.
Decision And Game Theory In Management With Intuitionistic Fuzzy Sets
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Author : Deng-Feng Li
language : en
Publisher: Springer
Release Date : 2013-11-12
Decision And Game Theory In Management With Intuitionistic Fuzzy Sets written by Deng-Feng Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-12 with Technology & Engineering categories.
The focus of this book is on establishing theories and methods of both decision and game analysis in management using intuitionistic fuzzy sets. It proposes a series of innovative theories, models and methods such as the representation theorem and extension principle of intuitionistic fuzzy sets, ranking methods of intuitionistic fuzzy numbers, non-linear and linear programming methods for intuitionistic fuzzy multi-attribute decision making and (interval-valued) intuitionistic fuzzy matrix games. These theories and methods form the theory system of intuitionistic fuzzy decision making and games, which is not only remarkably different from those of the traditional, Bayes and/or fuzzy decision theory but can also provide an effective and efficient tool for solving complex management problems. Since there is a certain degree of inherent hesitancy in real-life management, which cannot always be described by the traditional mathematical methods and/or fuzzy set theory, this book offers an effective approach to using the intuitionistic fuzzy set expressed with membership and non-membership functions. This book is addressed to all those involved in theoretical research and practical applications from a variety of fields/disciplines: decision science, game theory, management science, fuzzy sets, operational research, applied mathematics, systems engineering, industrial engineering, economics, etc.
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.
Fuzzy Set And Its Extension
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Author : Tamalika Chaira
language : en
Publisher: John Wiley & Sons
Release Date : 2019-04-23
Fuzzy Set And Its Extension written by Tamalika Chaira and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Technology & Engineering categories.
Provides detailed mathematical exposition of the fundamentals of fuzzy set theory, including intuitionistic fuzzy sets This book examines fuzzy and intuitionistic fuzzy mathematics and unifies the latest existing works in literature. It enables readers to fully understand the mathematics of both fuzzy set and intuitionistic fuzzy set so that they can use either one in their applications. Each chapter of Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set begins with an introduction, theory, and several examples to guide readers along. The first one starts by laying the groundwork of fuzzy/intuitionistic fuzzy sets, fuzzy hedges, and fuzzy relations. The next covers fuzzy numbers and explains Zadeh's extension principle. Then comes chapters looking at fuzzy operators; fuzzy similarity measures and measures of fuzziness; and fuzzy/intuitionistic fuzzy measures and fuzzy integrals. The book also: discusses the definition and properties of fuzzy measures; examines matrices and determinants of a fuzzy matrix; and teaches about fuzzy linear equations. Readers will also learn about fuzzy subgroups. The second to last chapter examines the application of fuzzy and intuitionistic fuzzy mathematics in image enhancement, segmentation, and retrieval. Finally, the book concludes with coverage the extension of fuzzy sets. This book: Covers both fuzzy and intuitionistic fuzzy sets and includes examples and practical applications Discusses intuitionistic fuzzy integrals and recent aggregation operators using Choquet integral, with examples Includes a chapter on applications in image processing using fuzzy and intuitionistic fuzzy sets Explains fuzzy matrix operations and features examples Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set is an ideal text for graduate and research students, as well as professionals, in image processing, decision-making, pattern recognition, and control system design.
On Intuitionistic Fuzzy Sets Theory
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Author : Krassimir T. Atanassov
language : en
Publisher: Springer
Release Date : 2012-05-06
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 2012-05-06 with Computers 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.
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.
Recent Advances In Intuitionistic Fuzzy Logic Systems And Mathematics
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Author : Said Melliani
language : en
Publisher:
Release Date : 2021
Recent Advances In Intuitionistic Fuzzy Logic Systems And Mathematics written by Said Melliani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.
Soft Computing In Image Processing
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Author : Mike Nachtegael
language : en
Publisher: Springer
Release Date : 2007-06-24
Soft Computing In Image Processing written by Mike Nachtegael and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-24 with Technology & Engineering categories.
Images have always been very important in human life. Their applications range from primitive communication between humans of all ages to advanced technologies in the industrial, medical and military field. The increased possibilities to capture and analyze images have contributed to the largeness that the scientific field of "image processing" has become today. Many techniques are being applied, including soft computing. "Soft Computing in Image Processing: Recent Advances" follows the edited volumes "Fuzzy Techniques in Image Processing" (volume 52, published in 2000) and "Fuzzy Filters for Image Processing" (volume 122, published in 2003), and covers a wide range of both practical and theoretical applications of soft computing in image processing. The 16 excellent chapters of the book have been grouped into five parts: Applications in Remote Sensing, Applications in Image Retrieval, Applications in Image Analysis, Other Applications, and Theoretical Contributions. The focus of the book is on practical applications, which makes it interesting for every researcher that is involved with soft computing, image processing, or both scientific branches.
Hesitant Fuzzy Sets Theory
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Author : Zeshui Xu
language : en
Publisher: Springer
Release Date : 2014-01-30
Hesitant Fuzzy Sets Theory 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 2014-01-30 with Technology & Engineering categories.
This book provides the readers with a thorough and systematic introduction to hesitant fuzzy theory. It presents the most recent research results and advanced methods in the field. These includes: hesitant fuzzy aggregation techniques, hesitant fuzzy preference relations, hesitant fuzzy measures, hesitant fuzzy clustering algorithms and hesitant fuzzy multi-attribute decision making methods. Since its introduction by Torra and Narukawa in 2009, hesitant fuzzy sets have become more and more popular and have been used for a wide range of applications, from decision-making problems to cluster analysis, from medical diagnosis to personnel appraisal and information retrieval. This book offers a comprehensive report on the state-of-the-art in hesitant fuzzy sets theory and applications, aiming at becoming a reference guide for both researchers and practitioners in the area of fuzzy mathematics and other applied research fields (e.g. operations research, information science, management science and engineering) characterized by uncertain ("hesitant") information. Because of its clarity and self contained explanations, the book can also be adopted as a textbook from graduate and advanced undergraduate students.
Intuitionistic Fuzzy Information Aggregation
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Author : Zeshui Xu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-20
Intuitionistic Fuzzy Information Aggregation written by Zeshui Xu 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 2013-02-20 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.