8-9 October 2020 • Burgas, Bulgaria

Submission: 15 May 2020 • Notification: 31 May 2020 • Final Version: 15 June 2020

Issue:Geometrical interpretations of the interval-valued intuitionistic fuzzy sets

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Title of paper: Geometrical interpretations of the interval-valued intuitionistic fuzzy sets
Author(s):
Peter Georgiev
CLBME - Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 105, Sofia-1113, Bulgaria
Krassimir Atanassov
CLBME - Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 105, Sofia-1113, Bulgaria
Published in: "Notes on IFS", Volume 2 (1996) Number 2, pages 1—10
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Abstract: The concept of the Interval Valued Intuitionistic Fuzzy Set (IVIFS) was introduced in [1] as an extension of the Intuitionistic Fuzzy Set (IFS). The basic operations and operators over IVIFSs are studied in [2, 3]. Here we shall show the most interesting geometrical interpretations of the IVIFSs. They will be similar to the geometrical interpretations of the ordinary IFS, introduced in [4].


References:
  1. Atanassov K. Review and new results on intuitonistic fuzzy sets. Preprint IM-MFAIS-1-88, Sofia, 1988.
  2. Atanassov K., Gargov G., Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 31, 1989, No. 3, 343-349.
  3. Atanassov K. Operations over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 64, 1994, No. 2, 159-174.
  4. Atanassov K. Geometrical interpretations of the elements of the intuitionistic fuzzy objects, Preprint IM-MFAIS-1-89, Sofia, 1989.
  5. Atanassov K., On the geometrical interpretations of the intuitionistic fuzzy logical objects. Part II., BUSEFAL, Vol. 60, 1994, 51-54.
  6. Atanassov K., On the geometrical interpretations of the intuitionistic fuzzy logical objects. Part III., BUSEFAL, Vol 60, 1994, 55-59.
  7. Antonov I., On a new geometrical interpretation of the intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 1, No. 1, 1995, 29-31.
  8. 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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