16-17 May 2019 • Sofia, Bulgaria

Submission: 1 February 2019 • Notification: 1 March 2019 • Final Version: 1 April 2019

Issue:Intuitionistic fuzzy sets

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Title of paper: Intuitionistic fuzzy sets
Author(s):
Krassimir Atanassov
CLANP-BAN, 72 Lenin Boul., 1784 Sofia, Bulgaria
   (current: kratAt sign.pngbas.bg)
Published in: Fuzzy Sets and Systems, 20 (1986) pp 87—96
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Abstract: A definition of the concept intuitionistic fuzzy set (IFS) is given, the latter being a generalization of the concept 'fuzzy set' and an example is described. Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Keywords: Intuitionistic fuzzy set, Fuzzy set, Modal operator (necessity, possibility), Topological operator (interior, closure).
References:
  1. K. Atanassov, Intuitionistic fuzzy sets, in: V. Sgurev, Bd., VII ITKR's Session, Sofia, June 1983 (Central Sci. and Techn. Library, Bulg. Academy of Sciences, 1984).
  2. K. Atanassov and S. Stoeva, Intuitionistic fuzzy sets, in: Polish Symp. on Interval & Fuzzy Mathematics, Poznan (Aug. 1983) 23-26.
  3. K. Atanassov and S. Stoeva, Intuitionstic L-fuzzy sets, in: R. Trappl, Bd., Cybernetics and Systems Research 2 (Elsevier Sci. Publ., Amsterdam, 1984) 539-540.
  4. K. Atanassov, Intuitionistic fuzzy relations, in: L. Antonov, Bd., III International School "Automation and Scientific Instrumentation", Varna (Oct. 1984) 56-57.
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