Generalised Atanassov Intuitionistic Fuzzy Sets Are Actually Intuitionistic Fuzzy Sets

  • Peter VassilevEmail author
  • Krassimir Atanassov
Part of the Studies in Computational Intelligence book series (SCI, volume 862)


The purpose of this paper is to investigate the relationship between the recently introduced Generalised Atanassov Intuitionistic Fuzzy Sets and the Intuitionistic Fuzzy Sets (also sometimes called Atanassov sets). As a result it will be established that the two notions are completely equivalent.


Intuitionistic fuzzy pairs Intuitionistic fuzzy sets Atanassov sets Generalised Atanassov intuitionistic fuzzy sets 



Work presented here is supported by Program for career development of young scientists, Bulgarian Academy of Sciences, Grant number DFNP-17-139 “Investigation of different extensions of fuzzy sets and assessment of their correctness”.


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institute of Biophysics and Biomedical EngineeringBulgarian Academy of SciencesSofiaBulgaria

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