Title: Twin Hypercube for Intuitionistic Fuzzy Sets and Their Application in Medicine
Author(s): B. Davvaz, E. Hassani Sadrabadi, Juan J. Nieto, Angela Torres
Pages: 31-45
Cite as:
B. Davvaz, E. Hassani Sadrabadi, Juan J. Nieto, Angela Torres, Twin Hypercube for Intuitionistic Fuzzy Sets and Their Application in Medicine, Int. J. Anal. Appl., 15 (1) (2017), 31-45.

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.

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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.