International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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A Note on Distances between Interval-Valued Intuitionistic Fuzzy Sets

  • Jang, Lee-Chae (Department of Mathematics and Computer Science, Konkuk University) ;
  • Kim, Won-Joo (Department of Mathematics and Computer Science, Konkuk University) ;
  • Kim, T. (Institute of Natural Science, Konkuk University)
  • Received : 2011.01.21
  • Accepted : 2011.02.24
  • Published : 2011.03.25
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Abstract

Atanassov [1,2] and Szmidt and Kacprzyk[7,8] studied various methods for measuring distances between intuitionistic fuzzy sets. In this paper, we consider interval-valued intuitionistic fuzzy sets and discuss these methods for measuring distances between interval-valued intuitionistic fuzzy sets.

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References

  1. K. T. Atanassov, ”Intuitionistic fuzzy sets”, Fuzzy Sets and Systems 20 (1986), 87–96.
  2. K. T. Atanassov, Intuitionistic fuzzy sets: Theory and Applications, Physica-Verlag,Wyrzburg, (1999).
  3. P. Grzegorzewski, ”Distances between intuitionistic fuzzy sets and interval-valued fuzzy sets based on the Hausdorff metric”, Fuzzy sets and systems 148(2004), no. 319–328. https://doi.org/10.1016/j.fss.2003.08.005
  4. L. C. Jang,T. Kim,W. J. Kim, ”A note on some algebraic laws for interval-valued fuzzy quantifies”, Proceedings of the Jangjeon Marh. Soc. 13(1) (2010), 39–48.
  5. L. C. Jang,H. M. Kim, T. Kim, ”A study on the transitivity of interval-valued inclusion measures”, Proceedings of the Jangjeon Math. Soc. 12(3) (2009),281–287.
  6. L. C. Jang,H. M. Kim, T. Kim, ”A note on intervalvalued inclusion measures”, Proceedings of the Jangjeon Math. Soc. 12(2) (2009), 157–163.
  7. E. Szmidt and J. Kacprzyk, ”On measuring distance between intuitionistic fuzzy sets”,Notes IFS 3 (1997), 1–13.
  8. E. Szmidt and J. Kacprzyk, ”Distances between intuitionistic fuzzy sets”, Fuzzy sets and systems. Proc. Seventh Int. Conf. IMPU 98 (1998), 172–178.
  9. L. A. Zadeh, ”Fuzzy sets”, Information and Control 8 (1965), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X

Cited by

  1. On Idempotent Intuitionistic Fuzzy Matrices of T-Type vol.16, pp.3, 2016, https://doi.org/10.5391/IJFIS.2016.16.3.181
  2. A Large Group Decision Making Approach Based on TOPSIS Framework with Unknown Weights Information vol.100, pp.2261-236X, 2017, https://doi.org/10.1051/matecconf/201710002013