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Issue:On one of the geometrical interpretations of the intuitionistic fuzzy sets

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Title of paper: On one of the geometrical interpretations of the intuitionistic fuzzy sets
Author(s):
Violeta Tasseva
CLBME-BAS, Sofia-1113, Acad. G. Bonchev Str., Bl. 105
violeta@clbme.bas.bg
Eulalia Szmidt
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Presented at: 9th ICIFS, Sofia, 7-8 May 2005
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 11 (2005) Number 2, pages 21—27
Download:  PDF (3623  Kb, File info)
Abstract: 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.


References:
  1. Atanassov, K (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag.
  2. Atanassov, K (2002) Remark on a property of the intuitionistic fuzzy interpretation triangle. Notes on Intuitionistic Fuzzy Sets, Vol. 8, No. 1, 34-36.
  3. Szmidt E. (2000) Applications of intuitionistic fuzzy sets in decision making. (D.Sc. dissertation) Techn. Univ. Sofia.
  4. Szmidt E. and Baldwin J. (2003) New similarity measures for intuitionistic fuzzy sets and mass assignment theory. Notes on IFS, 9 (3), 60-76.
  5. Szmidt E. and Kacprzyk J. (2000) Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems, 114 (3), 505-518.
  6. Szmidt E. and Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, 118 (3), 467-477.
  7. 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.
  8. Szmidt E. and Kacprzyk J. (2004) Similarity of intuitionistic fuzzy sets and the Jaccard coefficient. IPMU'2004, Perugia, Italy, 1405-1412.
  9. 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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