On Intuitionistic Fuzzy Sets Theory

✍ Scribed by Krassimir T. Atanassov

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2012
• Tongue: English
• Leaves: 327
• Series: Studies in Fuzziness and Soft Computing 283
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages 1-9
On the Concept of Intuitionistic Fuzzy Sets....Pages 1-16
Operations and Relations over IFSs....Pages 17-36
Geometrical Interpretations of IFSs....Pages 37-52
Modal and Topological Operators Defined over IFSs....Pages 53-76
Extended Modal Operators....Pages 77-111
Other Types of Operators....Pages 113-131
Norms and Metrics over IFSs or Their Elements....Pages 133-146
Intuitionistic Fuzzy Relations (IFRs)....Pages 147-193
New Intuitionistic Fuzzy Operations....Pages 195-257
On Two New Extensions of Intuitionistic Fuzzy Sets....Pages 259-272
Concluding Remarks....Pages 273-283
Back Matter....Pages 0--1

✦ Subjects

Computational Intelligence; Mathematical Logic and Foundations; Number Theory