International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Twin Hypercube for Intuitionistic Fuzzy Sets and Their Application in Medicine

  • B. Davvaz1*
  • E. Hassani Sadrabadi
  • Juan J. Nieto
  • Angela Torres
  1. Yazd University

* Corresponding author

Abstract

In this paper, we present a description of intuitionistic fuzzy sets as vectors in twin hypercube. Finally we verify an application of intuitionistic fuzzy sets in medicine using twin hypercube for intuitionistic fuzzy sets.

How to Cite

B. Davvaz, E. H. Sadrabadi, J. J. Nieto, A. Torres, Twin Hypercube for Intuitionistic Fuzzy Sets and Their Application in Medicine, Int. J. Anal. Appl. 15 (2017), 31–45.

BibTeX
@article{Davvaz2017,
  author  = {Davvaz, B. and Sadrabadi, E. Hassani and Nieto, Juan J. and Torres, Angela},
  title   = {Twin Hypercube for Intuitionistic Fuzzy Sets and Their Application in Medicine},
  journal = {Int. J. Anal. Appl.},
  volume  = {15},
  year    = {2017},
  pages   = {31--45},
  doi     = {}
}

References

  • [1] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20 (1986), 87-96.
  • [2] K. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets Syst. 33 (1989), 37-46.
  • [3] K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets Syst. 61 (1994), 137-142.
  • [4] K. Atanassov, Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets Syst. 64 (1994), 159-174.
  • [5] K. Atanassov, Intuitionistic Fuzzy Sets, Theory and Applications, Studies in Fuzziness and Soft Computing, 35 (1999), Physica-Verlag, Heidelberg.
  • [6] B. Davvaz and E. Hassani Sadrabadi, An application of intuitionistic fuzzy sets in medicine, Int. J. Biomath. 9 (3) (2016), Art. ID 1650037.
  • [7] B. Davvaz and S.K. Majumder, Atanassov's intuitionistic fuzzy interior ideals of Γ-semigroups, Sci. Bull., Politeh. Univ. Buchar., Ser. A 73(3) (2011), 45-60.
  • [8] A. De Luca and S. Termini, A defnition of a non-probabilistic entropy in the setting of fuzzy sets theory, Inform. Control 20 (1972), 301-312.
  • [9] S.K. De, R. Biswas and A.R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets Syst. 117 (2001), 209-213.
  • [10] B. Kosko, Neural Networks and Fuzzy Systems, Prentice-Hall, Englewood Cliffs, 1992.
  • [11] J.J. Nieto and A. Torres, Midpoints for fuzzy sets and their applications in medicine, Artif. Intell. Med. 27 (2003), 81-101.
  • [12] E. Sanches, Solutions in composite fuzzy relation equation. Application to medical diagnosis Brouwerian Logic. In: M.M. Gupta, G.N. Saridis, B.R. Gaines (Eds.), Fuzzy Automata and Decision process, Elsevier, North-Holland, 1977.