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Engineering - Computational Intelligence and Complexity | On Intuitionistic Fuzzy Sets Theory

On Intuitionistic Fuzzy Sets Theory

Atanassov, Krassimir T.

2012, XII, 324 p.

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  • State-of-art research on Intuitionistic Fuzzy Sets Theory
  • Comprehensive report  of the past twelve years research of the author (and not only) on intuitionistic fuzzy sets theory
  • Written by a leading expert in the field

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.

Content Level » Research

Keywords » Fuzziness - Fuzzy Logic - Fuzzy Sets - Intuitionistic Fuzzy Extensions - Intuitionistic Fuzzy Operations - Intuitionistic Fuzzy Relations - Intuitionistic Fuzzy Sets

Related subjects » Computational Intelligence and Complexity - Mathematics - Number Theory and Discrete Mathematics

Table of contents 

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.

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