Interval-Valued Intuitionistic Fuzzy Sets

Description

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. Front Matter ....Pages i-xi On Brouwer’s 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