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http://ifigenia.org/wiki/issue:nifs/11/2/21-27
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| Title of paper:
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On one of the geometrical interpretations of the intuitionistic fuzzy sets
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| Author(s):
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| Violeta Tasseva
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| CLBME-BAS, Sofia-1113, Acad. G. Bonchev Str., Bl. 105
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| violeta@clbme.bas.bg
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| Eulalia Szmidt
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| Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Presented at:
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9th ICIFS, Sofia, 7-8 May 2005
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 11 (2005) Number 2, pages 21—27
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| Download:
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 PDF (3623 Kb, File info)
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| Abstract:
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We discuss relationships between two geometrical representations of intuitionistic fuzzy sets. The first representation is in two-dimensional Euclidean space, the second one is in three-dimensional Euclidean space.
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| References:
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- Atanassov, K (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag.
- Atanassov, K (2002) Remark on a property of the intuitionistic fuzzy interpretation triangle. Notes on Intuitionistic Fuzzy Sets, Vol. 8, No. 1, 34-36.
- Szmidt E. (2000) Applications of intuitionistic fuzzy sets in decision making. (D.Sc. dissertation) Techn. Univ. Sofia.
- Szmidt E. and Baldwin J. (2003) New similarity measures for intuitionistic fuzzy sets and mass assignment theory. Notes on IFS, 9 (3), 60-76.
- Szmidt E. and Kacprzyk J. (2000) Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems, 114 (3), 505-518.
- Szmidt E. and Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, 118 (3), 467-477.
- Szmidt E. and Kacprzyk J. (2002) An Intuitionistic fuzzy set based approach to intelligent data analysis (an application to medical diagnosis). In A. Abraham, L. Jain, J. Kacprzyk (Eds.): Recent Advances in Intelligent Paradigms and Applications. Springer-Verlag, 57-70.
- Szmidt E. and Kacprzyk J. (2004) Similarity of intuitionistic fuzzy sets and the Jaccard coefficient. IPMU'2004, Perugia, Italy, 1405-1412.
- Szmidt E. and Kacprzyk J. (2005) A New Similarity Measure for Intuitionistic Fuzzy Sets and its Use in Supporting a Medical Diagnosis (in press).
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