Research Article

Parameter Reduction Method for Pythagorean Fuzzy Soft Sets

Volume: 3 Number: 1 March 25, 2020
EN

Parameter Reduction Method for Pythagorean Fuzzy Soft Sets

Abstract

The aim of this paper is to give new parameter reduction methods according to Pythagorean fuzzy soft sets. The reason for the definition of these methods is to help decision-makers facilitate their decision-making processes. The algorithm of the first method defined is related to the selection of some parameters. The second method determines the parameters with less deviation than the other parameters. Further, numerical examples related to the new algorithms are examined.

Keywords

Parameter reduction,Pythagorean fuzzy soft set.

References

  1. [1] L.A. Zadeh, Fuzzy sets, Inf. Comp., 8, (1965), 338–353.
  2. [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, (1986), 87–96.
  3. [3] D. Molodtsov, Soft Set Theory-First Results, Comput. Math. Appl., 37, (1999), 19–31.
  4. [4] R. R. Yager, Pythagorean fuzzy subsets, In: Proc Joint IFSA World Congress and NAFIPS Annual M eeting, Edmonton, Canada; (2013), 57–61.
  5. [5] R. R. Yager, Pythagorean membership grades in multicriteria decision making, IEEE Trans Fuzzy Syst., 22, (2014), 958–965.
  6. [6] R.R. Yager, Properties and applications of Pyhagorean fuzzy sets, in Imprecision and Uncertainty in Information Representation and Processing, Springer, Berlin, (2016), 119–136.
  7. [7] X. Peng, Y. Yang, J. Song, Y. Jiang, Pythagorean fuzzy soft set and its application, Computer Engineering, 41(7), (2015), 224–229.
  8. [8] M. Kiris¸ci, New type Pythagorean fuzzy soft set and decision-making application, https://arxiv.org/pdf/1904.04064.pdf.
  9. [9] XL Zhang , ZS Xu, Extension of TOPSIS to multi-criteria decision making with Pythagorean fuzzy sets, Int. J. Intell. Syst., 29, (2014), 1061–1078.
  10. [10] P. K. Maji, R. Biswas, A. R. Roy, Intuitionistic fuzzy soft sets, The journal of fuzzy mathematics, 9, (2001), 677–692.
APA
Kirisci, M. (2020). Parameter Reduction Method for Pythagorean Fuzzy Soft Sets. Universal Journal of Mathematics and Applications, 3(1), 33-37. https://doi.org/10.32323/ujma.615166
AMA
1.Kirisci M. Parameter Reduction Method for Pythagorean Fuzzy Soft Sets. Univ. J. Math. Appl. 2020;3(1):33-37. doi:10.32323/ujma.615166
Chicago
Kirisci, Murat. 2020. “Parameter Reduction Method for Pythagorean Fuzzy Soft Sets”. Universal Journal of Mathematics and Applications 3 (1): 33-37. https://doi.org/10.32323/ujma.615166.
EndNote
Kirisci M (March 1, 2020) Parameter Reduction Method for Pythagorean Fuzzy Soft Sets. Universal Journal of Mathematics and Applications 3 1 33–37.
IEEE
[1]M. Kirisci, “Parameter Reduction Method for Pythagorean Fuzzy Soft Sets”, Univ. J. Math. Appl., vol. 3, no. 1, pp. 33–37, Mar. 2020, doi: 10.32323/ujma.615166.
ISNAD
Kirisci, Murat. “Parameter Reduction Method for Pythagorean Fuzzy Soft Sets”. Universal Journal of Mathematics and Applications 3/1 (March 1, 2020): 33-37. https://doi.org/10.32323/ujma.615166.
JAMA
1.Kirisci M. Parameter Reduction Method for Pythagorean Fuzzy Soft Sets. Univ. J. Math. Appl. 2020;3:33–37.
MLA
Kirisci, Murat. “Parameter Reduction Method for Pythagorean Fuzzy Soft Sets”. Universal Journal of Mathematics and Applications, vol. 3, no. 1, Mar. 2020, pp. 33-37, doi:10.32323/ujma.615166.
Vancouver
1.Murat Kirisci. Parameter Reduction Method for Pythagorean Fuzzy Soft Sets. Univ. J. Math. Appl. 2020 Mar. 1;3(1):33-7. doi:10.32323/ujma.615166