On Intuitionistic Fuzzy Sets Theory [electronic resource] / by Krassimir T. Atanassov.Material type: TextLanguage: English Series: Studies in Fuzziness and Soft Computing: 283Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012Description: XII, 324 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783642291272Subject(s): Engineering | Logic, Symbolic and mathematical | Number theory | Engineering | Computational Intelligence | Mathematical Logic and Foundations | Number TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 006.3 LOC classification: Q342Online resources: Click here to access online
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 operations -- On two new extensions of intuitionistic fuzzy sets -- Concluding remarks.
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.