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Issue:On the geometrical interpretations of the operations over intuitionistic fuzzy sets

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Title of paper: On the geometrical interpretations of the operations over intuitionistic fuzzy sets
Author(s):
Peter Georgiev
CLBME - Bulgarian Academy of Sciences, Sofia-1113, Acad. G. Bonchev Str. Bl. 105
Krassimir Atanassov
CLBME - Bulgarian Academy of Sciences, Sofia-1113, Acad. G. Bonchev Str. Bl. 105
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 4 (1998), Number 1, pages 28—34
Download:  PDF (1935  Kb, File info)
Abstract: The concept of the Intuitionistic Fuzzy Set (IFS) is introduced in [1,2]. Some geometrical interpretations of the IFSs are discused in [3], Here we shall show the basic geometrical interpretations of the operations, defined over the IFSs.


References:
  1. Atanassov K. Intuitionistic fuzzy sets, VII ITKR's Session, Sofia, June 1983 (Deposed in Central Sci. - Techn. Library of Bulg. Acad, of Sci., 1697/84) (in Bulg.).
  2. Atanassov K. Intuitionistic fuzzy sets, Fuzzy sets and Systems, Vol. 20 (1986), No. 1, 87-96.
  3. Atanassov K. Geometrical interpretations of the elements of the intuitionistic fuzzy objects, Preprint IM-MFAIS-1-89, Sofia,'1989.
  4. Atanassov K., On the geometrical interpretations of the intuitionistic fuzzy logical objects. Part II., BUSEFAL, Vol. 60, 1994, 51-54.
  5. Atanassov K., On the geometrical interpretations of the intuitionistic fuzzy logical objects. Part III., BUSEFAL, Vol. 60, 1994, 55-59.
  6. Danchev S., A new geometrical interpretation of some concepts in the intuitionistic fuzzy logics, Notes on Intuitionistic Fuzzy Sets, Vol. 1 (1995), No. 2, 116-118.
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