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Issue:On measuring distances between intuitionistic fuzzy sets

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Title of paper: On measuring distances between intuitionistic fuzzy sets
Author(s):
Eulalia Szmidt
Systems Research Institute Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Akhil Ranjan Roy
Department of Mathematics, Indian Institute of Technology, Kharagpur - 721302, West Bengal, India
Presented at: 1st ICIFS, Sofia, 18—19 Oct. 1997
Published in: Conference proceedings, "Notes on IFS", Volume 3 (1997) Number 4, pages 1—13
Mistakenly republished in the conference proceedings of the 2nd ICIFS, Sofia, 3—4 Oct. 1998 in "Notes on IFS", Volume 4 (1998) Number 2, pages 1—13
Download:  PDF (6027  Kb, File info)
Abstract: Employing a geometrical representation of an intuitionistic fuzzy set we propose some concepts of distances between intuitionistic fuzzy sets. We show that these definitions are consistent with those defined for fuzzy sets
Keywords: Fuzzy set, Intuitionistic fuzzy set, Distance between intuitionistic fuzzy sets
References:
  1. Atanassov K. (1986) Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87-96
  2. Atanassov K. (1989) More on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 33, 37-46.
  3. Atanassov K. (1994) New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61, 137-142.
  4. Atanassov K. (1994) Operators over interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 64, 159-174.
  5. Atanassov K. (1997) Intuitionistic Fuzzy Sets: Theory and Applications (to appear),
  6. Kacprzyk J. (1997) Multistage Fuzzy Control. Wiley, Chichester.
  7. Szmidt E. and Kacprzyk J. (1996) Intuitionistic fuzzy sets in group decision making. Notes on IFS, 2, 15-32.
  8. Szmidt E. and Kacprzyk J. (1996) Group decision making via intuitionistic fuzzy sets. Proceeding of FUBEST'96 (Sofia, Bulgaria), pp. 107-112.
  9. Szmidt E. and Kacprzyk J. (1996) Remarks on some applications of intuitionistic fuzzy sets in decision making. Notes on IFS, 2, 22-31.
  10. Szmidt E. and Kacprzyk J. (1997) Intuitionistic fuzzy sets for more realistic group decision making. Proceedings of TRANSITIONS'97, June 18-21, Warsaw, Poland, 430-433.
  11. Zadeh L.A. (1965) Fuzzy sets. Information and Control, 8, 338-353.
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