- Covers cutting-edge theories concerning interval-valued intuitionistic fuzzy sets
- Gives emphasis to some novel applications
- Offers a thorough introduction to relations and operations on interval valued intuitionistic fuzzy sets
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- About this book
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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. - About the authors
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Krassimir Atanassov is a Professor and the Head of the Department of “Bioinformatics and Mathematical Modelling” at the Bulgarian Academy of Sciences. In 2013 he received the Award “Pythagoras” from the Ministry of Education, Youth and Science of Bulgaria, as an established researcher in the area of Technical sciences. Since the same year, he has also been fellow of the International Fuzzy Systems Association. His research interests cover the areas of Petri Nets, Fuzzy Sets and Number Theory. In the field of fuzzy sets, he developed the theory of intuitionistic fuzzy sets and showed their applications to artificial intelligence, systems theory, medicine, etc.
He has been serving as E-i-C of different journals. He is the author of numerous monographs, including the book Intuitionistic Fuzzy Logics (Springer, 2017).
- Table of contents (7 chapters)
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On Brouwer’s Intuitionism and Intuitionistic Fuzziness
Pages 1-7
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On Interval Valued Intuitionistic Fuzzy Sets
Pages 9-25
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Relations and Operations over IVIFSs
Pages 27-51
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Operators over IVIFSs
Pages 53-122
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Interval Valued Intuitionistic Fuzzy Pairs
Pages 123-129
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Interval-Valued Intuitionistic Fuzzy Sets
- Authors
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- Krassimir T. Atanassov
- Series Title
- Studies in Fuzziness and Soft Computing
- Series Volume
- 388
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-32090-4
- DOI
- 10.1007/978-3-030-32090-4
- Hardcover ISBN
- 978-3-030-32089-8
- Softcover ISBN
- 978-3-030-32092-8
- Series ISSN
- 1434-9922
- Edition Number
- 1
- Number of Pages
- XI, 200
- Number of Illustrations
- 68 b/w illustrations, 1 illustrations in colour
- Topics