| Title of paper:
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On intuitionistic fuzzy multi-dimensional sets. Part 4
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| Author(s):
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| Krassimir Atanassov
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| Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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| krat@bas.bg
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| Eulalia Szmidt
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| Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Presented at:
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15th ICIFS, Burgas, 11-12 May 2011
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| Published in:
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"Notes on IFS", Volume 17 (2011) Number 2, pages 1—7
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| Download:
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 PDF (154 Kb, File info)
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| Abstract:
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Three specific operations, which are extensions of operations “⋂”, “⋃” and “@”, are introduced over intuitionistic fuzzy multi-dimensional sets and some of their properties are studied.
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| Keywords:
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Intuitionistic fuzzy multi-dimensional set, Operation.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K., Temporal intuitionistic fuzzy sets. Comptes Rendus de l’Academie bulgare des Sciences, Tome 44, 1991, No. 7, 5–7.
- Atanassov, K., Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Heidelberg, 1999.
- Atanassov, K., Temporal intuitionistic fuzzy sets (review and new results) Proc. of the Thirty Second Spring of the Union of Bulg. Mathematicians, Sunny Beach, Bulgaria, April, 5-8, 2003, 79–88.
- Atanassov, K., E. Szmidt, J. Kacprzyk, On intuitionistic fuzzy multi-dimensional sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets. Vol. 7, 2008, 1–6.
- Atanassov, K., E. Szmidt, J. Kacprzyk, P. Rangasamy. On intuitionistic fuzzy multidimensional sets. Part 2. Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics. Vol. I: Foundations, Academic Publishing House EXIT, Warsaw, 2008, 43–51.
- Atanassov, K., E. Szmidt, J. Kacprzyk, On intuitionistic fuzzy multi-dimensional spaces. Part 3. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. I: Foundations, Warsaw, SRI, Polish Academy of Sciences, 2010, 19–26.
- Parvathi, R. and S.P. Geetha, A note on properties of temporal intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 15, 2009, No. 1, 42–48.
http://ifigenia.org/wiki/nifs/15/1/42-48
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