On Intuitionistic Fuzzy Sets Theory

On Intuitionistic Fuzzy Sets Theory is a monograph by Krassimir T. Atanassov, published in 2012 as Vol. 283 of the Studies in Fuzziness and Soft Computing Series, Springer, ISSN: 1434-9922, ISBN: 978-3-642-29126-5.

Book review
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.


 * “The volume is a comprehensive, carefully organized, in-depth treatise on intuitionistic fuzzy sets … . The material structured into 11 chapters is split into several main parts. The concepts of intuitionistic fuzzy sets (IFS) are motivated through a series of illustrative examples including those showing their geometric interpretations. … The exposure of the formal material is good with well thought-out arguments and a wealth of illustrative material. Overall, the book provides a very good reading for those interested in IFS.” (Witold Pedrycz, Zentralblatt MATH, Vol. 1247, 2012)

Contents



 * 1) On the Concept of Intuitionistic Fuzzy Sets
 * 2) Operations and Relations over IFSs
 * 3) Geometrical Interpretations of IFSs
 * 4) Modal and Topological Operators Defined over IFSs
 * 5) Extended Modal Operators
 * 6) Other Types of Operators
 * 7) Norms and Metrics over IFSs or Their Elements
 * 8) Intuitionistic Fuzzy Relations (IFRs)
 * 9) New Intuitionistic Fuzzy Operations
 * 10) On Two New Extensions of Intuitionistic Fuzzy Sets
 * 11) Concluding Remarks
 * References
 * Index

Related books

 * 1999 – Intuitionistic Fuzzy Sets: Theory and Applications, Krassimir Atanassov
 * 2017 – Intuitionistic Fuzzy Logics, Krassimir Atanassov