On the Concept of Intuitionistic Fuzzy Sets

  • Krassimir T. Atanassov
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 283)


The origin of my idea of intuitionistic fuzziness was a happenstance – as a mathematical game. I read the Russian translation of A. Kaufmann’s book [301] and decided to add to the definition, a second degree (degree of nonmembership) and studied the properties of a set with both degrees. Of course, I observed that the new set is an extension of the ordinary fuzzy set, but I did not immediately notice that it has essentially different properties. So the first research works of mine in this area followed, step-by-step, the existing results in fuzzy sets theory. Of course, some concepts are not so difficult to extend formally. It is interesting to show that the respective extension has specific properties, absent in the basic concept.


Chess Piece Ternary Logic Respective Extension Black Pawn Seventh Rank 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical EngineeringBulgarian Academy of SciencesSofiaBulgaria

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