As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: March 2025.

Issue:On some issues related to the distances between the Atanassov intuitionistic fuzzy sets are described on universe with weights

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Revision as of 18:32, 28 August 2024 by Vassia Atanassova (talk | contribs) (Text replacement - "Conference proceedings," to "")
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/16/2/22-30
Title of paper: On some issues related to the distances between the Atanassov intuitionistic fuzzy sets are described on universe with weights
Author(s):
Radoslav Tzvetkov
Technical University of Sofia, Kliment Ohridski St. 8, Sofia-1000, Bulgaria
rado_tzv8@hotmail.com
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
Presented at: 14th ICIFS, Sofia, 15-16 May 2010
Published in: "Notes on IFS", Volume 16 (2010) Number 2, pages 22—30
Download:  PDF (63  Kb, File info)
Abstract: This paper is a continuation of our previous works on the concepts and properties of distances between the Atanassov intuitionistic fuzzy sets (A-IFSs, for short). We remind the necessity of taking into account all three terms (membership, non-membership and hesitation margin) describing A-IFSs while considering the distances that provides a foundation of our works. Next, we show that the considered three term continuous Hamming distance is the counterpart of the discrete Hamming distance, and is a metric.
Keywords: Intuitionistic fuzzy sets, distances.
References:
  1. Atanassov K. (1983), Intuitionistic Fuzzy Sets. VII ITKR Session. Sofia (Centr. Sci.-Techn. Libr. of Bulg. Acad. of Sci., 1697/84) (in Bulgarian).
  2. Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag.
  3. Atanassov K., Taseva V., Szmidt E., Kacprzyk J. (2005), On the Geometrical Interpretations of the Intuitionistic Fuzzy Sets. In: K. T. Atanassov, J. Kacprzyk, M. Krawczak, E. Szmidt (Eds.): Issues in the Representation and Processing of Uncertain and Imprecise Information. Series: Problems of the Contemporary Science. EXIT, Warszawa 2005, 11–24.
  4. Fan J-L., Ma Y-L. and Xie W-X. (2001), On some properties of distance measures. Fuzzy Sets and Systems, 117, 355–361.
  5. Szmidt E. and Baldwin J. (2003), New similarity measure for intuitionistic fuzzy set theory and mass assignment theory. Notes on IFSs, 9(3), 60–76.
  6. Szmidt E. and Baldwin J. (2004), Entropy for intuitionistic fuzzy set theory and mass assignment theory. Notes on IFSs, 10(3), 15-28.
  7. Szmidt E. and Kacprzyk J. (1996c) Remarks on some applications of intuitionistic fuzzy sets in decision making, Notes on IFS, 2(3), 22–31.
  8. Szmidt E. and Kacprzyk J. (1997) On measuring distances between intuitionistic fuzzy sets, Notes on IFS, 3(4), 1–13.
  9. Szmidt E. and Kacprzyk J. (1998a) Group Decision Making under Intuitionistic Fuzzy Preference Relations. IPMU’98, 172–178.
  10. Szmidt E. and Kacprzyk J. (1998b) Applications of Intuitionistic Fuzzy Sets in Decision Making. EUSFLAT’99, 150–158.
  11. Szmidt E. and Kacprzyk J. (2000), Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, 114(3), 505–518.
  12. Szmidt E. and Kacprzyk J. (2000) On Measures on Consensus Under Intuitionistic Fuzzy Relations. IPMU 2000, 1454–1461.
  13. Szmidt E. and Kacprzyk J. (2001), Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, 118(3), 467–477.
  14. Szmidt E. and Kacprzyk J. (2001) Analysis of Consensus under Intuitionistic Fuzzy Preferences. Proc. Int. Conf. in Fuzzy Logic and Technology. Leicester, UK, 79–82.
  15. Szmidt E. and Kacprzyk J. (2002) Analysis of Agreement in a Group of Experts via Distances Between Intuitionistic Fuzzy Preferences. IPMU 2002, Annecy, France, 1859–1865.
  16. Szmidt E. and J. Kacprzyk J. (2002b) 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.
  17. Szmidt E. and Kacprzyk J. (2004), Similarity of intuitionistic fuzzy sets and the Jaccard coefficient. IPMU 2004, 1405–1412.
  18. Szmidt E., Kacprzyk J. (2004), A Concept of Similarity for Intuitionistic Fuzzy Sets and its use in Group Decision Making. 2004 IEEE Conf. on Fuzzy Systems, Budapest, 1129–1134.
  19. Szmidt E. and Kacprzyk J. (2005), A New Concept of a Similarity Measure for Intuitionistic Fuzzy Sets and its Use in Group Decision Making. In V. Torra, Y. Narukawa, S. Miyamoto (Eds.): Modelling Decisions for AI. LNAI 3558, Springer 2005, 272–282.
  20. Szmidt E. and Kacprzyk J. (2006) Distances Between Intuitionistic Fuzzy Sets: Straightforward Approaches may not work. 3rd Int. IEEE Conf. Intelligent Systems IS06, London, 716–721.
  21. Szmidt E. and Kacprzyk J. (2006), Entropy and similarity of intuitionistic fuzzy sets. IPMU 2006, 2375–2382.
  22. Szmidt E. and Kacprzyk J. (2006) An Application of Intuitionistic Fuzzy Set Similarity Measures to a Multi-criteria Decision Making Problem. ICAISC 2006, LNAI 4029, Springer-Verlag, 314–323.
  23. Szmidt E. and Kacprzyk J. (2007). Some problems with entropy measures for the Atanassov intuitionistic fuzzy sets. Applications of Fuzzy Sets Theory. Lecture Notes on Artificial Intelligence, 4578, 291–297. Springer-Verlag.
  24. Szmidt E. and Kacprzyk J. (2007a). A New Similarity Measure for Intuitionistic Fuzzy Sets: Straightforward Approaches may not work. 2007 IEEE Conference on Fuzzy Systems, 481–486.
  25. Szmidt E. and Kukier M. (2006). Classification of Imbalanced and Overlapping Classes using Intuitionistic Fuzzy Sets. 3rd International IEEE Conference on Intelligent Systems IS’06, London, 2006, 722-727.
  26. Szmidt E. and Kukier M. (2008) A New Approach to Classification of Imbalanced Classes via Atanassov’s Intuitionistic Fuzzy Sets. In: ”Intelligent Data Analysis: Developing New Methodologies Through Pattern Discovery and Recovery. (Ed. Hsiao-Fan Wang),IGI Global, 85–101.
  27. Tasseva V., Szmidt E. and Kacprzyk J. (2005), On one of the geometrical interpretations of the intuitionistic fuzzy sets. Notes on IFSs, 11(3), 21–27.
  28. Zadeh L.A. (1965), Fuzzy sets. Information and Control, 8, 338–353.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.

Retrieved from "https://ifigenia.org/index.php?title=Issue:On_some_issues_related_to_the_distances_between_the_Atanassov_intuitionistic_fuzzy_sets_are_described_on_universe_with_weights&oldid=13120"