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Year 2020, Volume: 49 Issue: 2, 676 - 683, 02.04.2020
https://doi.org/10.15672/hujms.588700

Abstract

References

  • [1] B. Chetia and P.K. Das, Some results of intuitionistic fuzzy soft matrix theory, Adv. Appl. Sci. Res. 3 (1), 412–423, 2012.
  • [2] N. Çağman and S. Enginoğlu, Soft set theory and uni-int decision making, Eur. J. Oper. Res. 207 (2), 848–855, 2010.
  • [3] N. Çağman and S. Enginoğlu, Soft matrix theory and its decision making, Comput. Math. Appl. 59, 3308–3314, 2010.
  • [4] N. Çağman and S. Enginoğlu, Fuzzy soft matrix theory and its applications in decision making, Iran J. Fuzzy Syst. 9 (1), 109–119, 2012.
  • [5] J. Maiers and Y.S. Sherif, Applications of fuzzy set theory, IEEE Trans. Syst. Man Cybern. 15 (1), 175–189, 1985.
  • [6] D. Molodstov, Soft set theory first-results, Comput. Math. Appl. 37 (4-5), 190–31, 1999.
  • [7] S. Mondal and M. Pal, Soft matrices, Afr. J. Math. Comput. Sci. Res. 4 (13), 379–388, 2011.
  • [8] P.K. Maji, R. Biswas, and A.R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9 (3), 589–502, 2001.
  • [9] S. Miodrag and L.D. Petković, Complex interval arithmetic and its applications, John Wiley & Sons, 1998.
  • [10] P. Rajarajeswari and P. Dhanalakshmi, An application of interval valued intuitionistic fuzzy soft matrix theory in medical diagnosis, to appear in Ann. Fuzzy Math. Inform.
  • [11] A.K. Shyamal and M. Pal, Interval-valued fuzzy matrices, J. Fuzzy Math. 14 (3), 583–604, 2006.
  • [12] Y. Yang and J. Chenli, Fuzzy soft matrices and their applications, Lect. Notes Comput. Sc. (Part I) 7002, 618–627, 2011.
  • [13] D. Ramot, R. Milo, M. Friedman, and A. Kandel, Complex fuzzy sets, IEEE Trans. Fuzzy Syst. 10 (2), 171–186, 2012.
  • [14] L.A. Zadeh, Fuzzy sets, Inform. Control 8, 338–353, 1965.
  • [15] G. Zhang, T.S. Dillon, K.-Y. Cai, J. Ma, and J. Lu, Operation properties and δ- equalities of complex fuzzy sets. Int. J. Approx. Reason. 50, 1227–1249, 2009.

Complex fuzzy soft matrices with applications

Year 2020, Volume: 49 Issue: 2, 676 - 683, 02.04.2020
https://doi.org/10.15672/hujms.588700

Abstract

In this paper, we introduce complex fuzzy soft matrices and define some new operations on these matrices. Moreover we develop an algorithm using complex fuzzy soft matrices and apply it to a decision making problem in signal processing.

References

  • [1] B. Chetia and P.K. Das, Some results of intuitionistic fuzzy soft matrix theory, Adv. Appl. Sci. Res. 3 (1), 412–423, 2012.
  • [2] N. Çağman and S. Enginoğlu, Soft set theory and uni-int decision making, Eur. J. Oper. Res. 207 (2), 848–855, 2010.
  • [3] N. Çağman and S. Enginoğlu, Soft matrix theory and its decision making, Comput. Math. Appl. 59, 3308–3314, 2010.
  • [4] N. Çağman and S. Enginoğlu, Fuzzy soft matrix theory and its applications in decision making, Iran J. Fuzzy Syst. 9 (1), 109–119, 2012.
  • [5] J. Maiers and Y.S. Sherif, Applications of fuzzy set theory, IEEE Trans. Syst. Man Cybern. 15 (1), 175–189, 1985.
  • [6] D. Molodstov, Soft set theory first-results, Comput. Math. Appl. 37 (4-5), 190–31, 1999.
  • [7] S. Mondal and M. Pal, Soft matrices, Afr. J. Math. Comput. Sci. Res. 4 (13), 379–388, 2011.
  • [8] P.K. Maji, R. Biswas, and A.R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9 (3), 589–502, 2001.
  • [9] S. Miodrag and L.D. Petković, Complex interval arithmetic and its applications, John Wiley & Sons, 1998.
  • [10] P. Rajarajeswari and P. Dhanalakshmi, An application of interval valued intuitionistic fuzzy soft matrix theory in medical diagnosis, to appear in Ann. Fuzzy Math. Inform.
  • [11] A.K. Shyamal and M. Pal, Interval-valued fuzzy matrices, J. Fuzzy Math. 14 (3), 583–604, 2006.
  • [12] Y. Yang and J. Chenli, Fuzzy soft matrices and their applications, Lect. Notes Comput. Sc. (Part I) 7002, 618–627, 2011.
  • [13] D. Ramot, R. Milo, M. Friedman, and A. Kandel, Complex fuzzy sets, IEEE Trans. Fuzzy Syst. 10 (2), 171–186, 2012.
  • [14] L.A. Zadeh, Fuzzy sets, Inform. Control 8, 338–353, 1965.
  • [15] G. Zhang, T.S. Dillon, K.-Y. Cai, J. Ma, and J. Lu, Operation properties and δ- equalities of complex fuzzy sets. Int. J. Approx. Reason. 50, 1227–1249, 2009.
There are 15 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

W. Khan 0000-0003-0044-961X

Saima Anis This is me 0000-0003-4749-3300

Seok-zun Song 0000-0002-2383-664X

Youngbae Jun 0000-0002-0181-8969

Publication Date April 2, 2020
Published in Issue Year 2020 Volume: 49 Issue: 2

Cite

APA Khan, W., Anis, S., Song, S.-z., Jun, Y. (2020). Complex fuzzy soft matrices with applications. Hacettepe Journal of Mathematics and Statistics, 49(2), 676-683. https://doi.org/10.15672/hujms.588700
AMA Khan W, Anis S, Song Sz, Jun Y. Complex fuzzy soft matrices with applications. Hacettepe Journal of Mathematics and Statistics. April 2020;49(2):676-683. doi:10.15672/hujms.588700
Chicago Khan, W., Saima Anis, Seok-zun Song, and Youngbae Jun. “Complex Fuzzy Soft Matrices With Applications”. Hacettepe Journal of Mathematics and Statistics 49, no. 2 (April 2020): 676-83. https://doi.org/10.15672/hujms.588700.
EndNote Khan W, Anis S, Song S-z, Jun Y (April 1, 2020) Complex fuzzy soft matrices with applications. Hacettepe Journal of Mathematics and Statistics 49 2 676–683.
IEEE W. Khan, S. Anis, S.-z. Song, and Y. Jun, “Complex fuzzy soft matrices with applications”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, pp. 676–683, 2020, doi: 10.15672/hujms.588700.
ISNAD Khan, W. et al. “Complex Fuzzy Soft Matrices With Applications”. Hacettepe Journal of Mathematics and Statistics 49/2 (April 2020), 676-683. https://doi.org/10.15672/hujms.588700.
JAMA Khan W, Anis S, Song S-z, Jun Y. Complex fuzzy soft matrices with applications. Hacettepe Journal of Mathematics and Statistics. 2020;49:676–683.
MLA Khan, W. et al. “Complex Fuzzy Soft Matrices With Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, 2020, pp. 676-83, doi:10.15672/hujms.588700.
Vancouver Khan W, Anis S, Song S-z, Jun Y. Complex fuzzy soft matrices with applications. Hacettepe Journal of Mathematics and Statistics. 2020;49(2):676-83.

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