<p></p><p>This is the first book to provide a comprehensive and systematic introduction to the ranking methods for interval-valued intuitionistic fuzzy sets, multi-criteria decision-making methods with interval-valued intuitionistic fuzzy sets, and group decision-making methods with interval-valued
Interval-Valued Intuitionistic Fuzzy Sets
β Scribed by Krassimir T. Atanassov
- Publisher
- Springer International Publishing
- Year
- 2020
- Tongue
- English
- Leaves
- 205
- Series
- Studies in Fuzziness and Soft Computing 388
- Edition
- 1st ed. 2020
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Front Matter ....Pages i-xi
On Brouwerβs Intuitionism and Intuitionistic Fuzziness (Krassimir T. Atanassov)....Pages 1-7
On Interval Valued Intuitionistic Fuzzy Sets (Krassimir T. Atanassov)....Pages 9-25
Relations and Operations over IVIFSs (Krassimir T. Atanassov)....Pages 27-51
Operators over IVIFSs (Krassimir T. Atanassov)....Pages 53-122
Interval Valued Intuitionistic Fuzzy Pairs (Krassimir T. Atanassov)....Pages 123-129
Applications of IVIFSs (Krassimir T. Atanassov)....Pages 131-194
Conclusion and Remarks on Future Research (Krassimir T. Atanassov)....Pages 195-197
Back Matter ....Pages 199-200
β¦ Subjects
Engineering; Computational Intelligence; Operations Research, Management Science; Pattern Recognition
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On the concept of IFSs -- Operations and relations over IFSs -- Geometrical interpretations of IFSs -- Modal and topological operators -- Extended modal operators -- Other types of operators -- Norms and metrics over IFSs -- Intuitionistic Fuzzy Relations (IFRs) -- New intuitionistic fuzzy operation