Intuitionistic Fuzzy Logics

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Intuitionistic Fuzzy Logics is a monograph by Krassimir T. Atanassov, published in 2017 as Vol. 351 of the Studies in Fuzziness and Soft Computing Series, Springer, ISSN: 1434-9922, ISBN: 978-3-319-48952-0.

Book review

The book offers a comprehensive survey of intuitionistic fuzzy logics. By reporting on both the author’s research and others’ findings, it provides readers with a complete overview of the field and highlights key issues and open problems, thus suggesting new research directions. Starting with an introduction to the basic elements of intuitionistic fuzzy propositional calculus, it then provides a guide to the use of intuitionistic fuzzy operators and quantifiers, and lastly presents state-of-the-art applications of intuitionistic fuzzy sets. The book is a valuable reference resource for graduate students and researchers alike.


  1. Elements of Intuitionistic Fuzzy Propositional Calculus
    1. Intuitionistic Fuzzification of the Validity of Propositions
    2. Intuitionistic Fuzzy Implications
    3. Discussion on Intuitionistic Fuzzy Implications
    4. Intuitionistic Fuzzy Negations
    5. Properties of Intuitionistic Fuzzy Implications and Negations
    6. De Morgan Laws and Law for Excluded Middle
    7. New Intuitionistic Fuzzy Conjunctions and Disjunctions
  2. Intuitionistic Fuzzy Predicate Logic
    1. Short Remarks on Intuitionistic Fuzzy Predicate Logic
    2. Extended Intuitionistic Fuzzy Quantifiers
    3. Ideas for New Types of Quantifiers
  3. Intuitionistic Fuzzy Modal Logics
    1. Intuitionistic Fuzzy Classical Modal Operators
    2. Extensions of the Intuitionistic Fuzzy Modal Operators
    3. Second Type of Intuitionistic Fuzzy Modal Operators
    4. Intuitionistic Fuzzy Level Operators
    5. Pseudo-fixed Points of the Intuitionistic Fuzzy Operators and Quantifiers
  4. Temporal and Multidimensional Intuitionistic Fuzzy Logics
    1. Temporal Intuitionistic Fuzzy Logic
    2. Multidimensional Intuitionistic Fuzzy Logics
  5. Conclusion

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