| Title of paper:
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Geometrical interpretations of the interval-valued intuitionistic fuzzy sets
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| Author(s):
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| Peter Georgiev
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| CLBME - Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 105, Sofia-1113, Bulgaria
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| Krassimir Atanassov
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| CLBME - Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 105, Sofia-1113, Bulgaria
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 2 (1996) Number 2, pages 1—10
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| Download:
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 PDF (4873 Kb, File info)
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| Abstract:
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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].
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| References:
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- Atanassov K. Review and new results on intuitonistic fuzzy sets. Preprint IM-MFAIS-1-88, Sofia, 1988.
- Atanassov K., Gargov G., Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 31, 1989, No. 3, 343-349.
- Atanassov K. Operations over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 64, 1994, No. 2, 159-174.
- Atanassov K. Geometrical interpretations of the elements of the intuitionistic fuzzy objects, Preprint IM-MFAIS-1-89, Sofia, 1989.
- Atanassov K., On the geometrical interpretations of the intuitionistic fuzzy logical objects. Part II., BUSEFAL, Vol. 60, 1994, 51-54.
- Atanassov K., On the geometrical interpretations of the intuitionistic fuzzy logical objects. Part III., BUSEFAL, Vol 60, 1994, 55-59.
- Antonov I., On a new geometrical interpretation of the intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 1, No. 1, 1995, 29-31.
- 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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