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Intuitionistic fuzzy sets

Published: 01 August 1986 Publication History

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.

References

[1]
Atanassov, K., Intuitionistic fuzzy sets. In: Sgurev, V. (Ed.), VII ITKR's Session, Central Sci. and Techn. Library, Bulg. Academy of Sciences, Amsterdam.
[2]
Atanassov, K. and Stoeva, S., Intuitionistic fuzzy sets. In: Polish Symp. on Interval & Fuzzy Mathematics, pp. 23-26.
[3]
Intuitionstic L-fuzzy sets. In: Trappl, R. (Ed.), Cybernetics and Systems Research 2, Elsevier Sci. Publ. pp. 539-540.
[4]
Atanassov, K., Intuitionistic fuzzy relations. In: Antonov, L. (Ed.), III International School ¿Automation and Scientific Instrumentation¿, pp. 56-57.

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Information & Contributors

Information

Published In

cover image Fuzzy Sets and Systems
Fuzzy Sets and Systems  Volume 20, Issue 1
August, 1986
135 pages

Publisher

Elsevier North-Holland, Inc.

United States

Publication History

Published: 01 August 1986

Author Tags

  1. Fuzzy Set
  2. Intuitionistic fuzzy set
  3. Modal operator (necessity, possibility)
  4. Topological operator (interior, closure)

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  • (2024)Green logistics park location selection with circular intuitionistic fuzzy CODAS methodJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23184346:2(4173-4189)Online publication date: 14-Feb-2024
  • (2024)Proportional Fuzzy Set Extensions and Imprecise ProportionsInformatica10.15388/24-INFOR55035:2(311-339)Online publication date: 1-Jan-2024
  • (2024)A Survey of Fuzzy Best-Worst Group Decision-Making Process Toward Human CentricityIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2024.337955532:6(3302-3318)Online publication date: 21-Mar-2024
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