| Title of paper:
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Sequences of intuitionistic fuzzy numbers
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| Author(s):
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| Mariana Nikolova
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| Centre for Biomedical Engineering - Bulgarian Academy of Sciences, bl. 105 Acad. G. Bonchev Str. Sofia 1113, Bulgaria
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| shte@clbme.bas.bg
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| Presented at:
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6th ICIFS, Varna, 13—14 Sept 2002
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 8 (2002) Number 3, pages 26—30
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| Download:
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 PDF (4005 Kb, File info)
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| Abstract:
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In this paper an approach to define convergence of sequences of intuitionistic fuzzy (IF) numbers is presented. The definitions proposed in this work are intended to retain the principal properties of the corresponding operations over sequences of real numbers. Some basic properties of convergent sequences are studied and proved.
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| References:
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- Atanassov, K., Intuitionistic Fuzzy Sets, Springer-Verlag, Berlin, 1999.
- Burillo, P., H. Bustince, V. Mohedano, Some definitions of intuitionistic fuzzy numbers. First properties. Proc. of the First Workshop on Fuzzy-Based Expert Systems FUBEST’94, Sofia, Sept. 28-30, 1994, 53-55.
- Dubois D., Prade H., Operations of fuzzy numbers, J. Systems Sci., 1978, Vol. 9, 613-626.
- Eklund, P., and W. Gahler, Basic notions for fuzzy topology, Fuzzy Sets and Systems 26 (1988), pp. 333-356.
- Kaleva, O., and S. Seikkala, On Fuzzy Metric Spaces, Fuzzy Sets and Systems 12 (1984), 213-229.
- Nikolova, M., Intuitionistic Fuzzy Numbers, International Journal of Fuzzy Systems, in press.
- Stoeva, M., N. Nikolov, Order relations over intuitionistic fuzzy values, Young scientists’ session of the National Scientific and Technical Union of Bulgaria, Sofia, July 1-2, 1999.
- Zadeh, L., Fuzzy Sets, Information and Control 8 (1965), 338-353.
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