Research Article

Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed between 2013 and 2016 and Their Comparisons

Number: 34 March 30, 2021
EN

Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed between 2013 and 2016 and Their Comparisons

Abstract

The concept of fuzzy parameterized fuzzy soft matrices (fpfs-matrices) is a mathematical tool coming into prominence with its ability to model decision-making problems. Therefore, in the present study, we configure soft decision-making (SDM) methods having been constructed with soft sets, soft matrices, and their fuzzy hybrid versions and introduced between 2013 and 2016 to operate them in fpfs-matrices space faithfully to the original. We then analyse the decision-making performances of the configured methods herein by using five test cases containing totally ordered alternatives. Thus, we determine the methods producing a valid ranking order according to all the test cases and apply the determined methods to a performance-based value assignment (PVA) problem in which the filters are to be ranked in terms of their image denoising performances. Therefore, we compare the performance ranking of the filters by using the methods. Finally, we discuss the need for further research.

Keywords

Fuzzy sets, Soft sets, Soft matrices, fpfs-matrices, Soft decision-making, PVA problem

Supporting Institution

Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University

Project Number

FBA-2020-3259

Thanks

This work was supported by the Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University, Grant number: FBA-2020-3259.

References

  1. D. Molodtsov, Soft Set Theory-First Results, Computers Mathematics with Applications 37(4-5) (1999) 19-31.
  2. P. K. Maji, R. Biswas, A. R. Roy, Fuzzy Soft Sets, The Journal of Fuzzy Mathematics 9(3) (2001) 589-602.
  3. N. Çağman, S. Enginoğlu, F. Çıtak, Fuzzy Soft Set Theory and Its Applications, Iranian Journal of Fuzzy Systems 8(3) (2011) 137-147.
  4. N. Çağman, F. Çıtak, S. Enginoğlu, FP-Soft Set Theory and Its Applications, Annals of Fuzzy Mathematics and Informatics 2(2) (2011) 219-226.
  5. N. Çağman, F. Çıtak, S. Enginoğlu, Fuzzy Parameterized Fuzzy Soft Set Theory and Its Applications, Turkish Journal of Fuzzy Systems 1(1) (2010) 21-35.
  6. N. Çağman, S. Enginoğlu, Soft Matrix Theory and Its Decision Making, Computers and Mathematics with Applications 59(10) (2010) 3308-3314.
  7. N. Çağman, S. Enginoğlu, Fuzzy Soft Matrix Theory and Its Application in Decision Making, Iranian Journal of Fuzzy Systems 9(1) (2012) 109-119.
  8. S. Enginoğlu, N. Çaǧman, Fuzzy Parameterized Fuzzy Soft Matrices and Their Application in Decision-Making, TWMS Journal of Applied and Engineering Mathematics 10(4) (2020) 1105-1115.
  9. F. Çıtak, N. Çağman, Soft Int-Rings and Its Algebraic Applications, Journal of Intelligent and Fuzzy Systems 28(3) (2015) 1225-1233.
  10. A. Sezgin, A New Approach to Semigroup Theory I: Soft Union Semigroups, Ideals and bi-ideals, Algebra Letters 2016(3) (2016) 1-46.
APA
Enginoğlu, S., Aydın, T., Memiş, S., & Arslan, B. (2021). Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed between 2013 and 2016 and Their Comparisons. Journal of New Theory, 34, 82-114. https://izlik.org/JA37MH96SN
AMA
1.Enginoğlu S, Aydın T, Memiş S, Arslan B. Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed between 2013 and 2016 and Their Comparisons. JNT. 2021;(34):82-114. https://izlik.org/JA37MH96SN
Chicago
Enginoğlu, Serdar, Tuğçe Aydın, Samet Memiş, and Burak Arslan. 2021. “Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed Between 2013 and 2016 and Their Comparisons”. Journal of New Theory, nos. 34: 82-114. https://izlik.org/JA37MH96SN.
EndNote
Enginoğlu S, Aydın T, Memiş S, Arslan B (March 1, 2021) Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed between 2013 and 2016 and Their Comparisons. Journal of New Theory 34 82–114.
IEEE
[1]S. Enginoğlu, T. Aydın, S. Memiş, and B. Arslan, “Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed between 2013 and 2016 and Their Comparisons”, JNT, no. 34, pp. 82–114, Mar. 2021, [Online]. Available: https://izlik.org/JA37MH96SN
ISNAD
Enginoğlu, Serdar - Aydın, Tuğçe - Memiş, Samet - Arslan, Burak. “Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed Between 2013 and 2016 and Their Comparisons”. Journal of New Theory. 34 (March 1, 2021): 82-114. https://izlik.org/JA37MH96SN.
JAMA
1.Enginoğlu S, Aydın T, Memiş S, Arslan B. Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed between 2013 and 2016 and Their Comparisons. JNT. 2021;:82–114.
MLA
Enginoğlu, Serdar, et al. “Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed Between 2013 and 2016 and Their Comparisons”. Journal of New Theory, no. 34, Mar. 2021, pp. 82-114, https://izlik.org/JA37MH96SN.
Vancouver
1.Serdar Enginoğlu, Tuğçe Aydın, Samet Memiş, Burak Arslan. Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed between 2013 and 2016 and Their Comparisons. JNT [Internet]. 2021 Mar. 1;(34):82-114. Available from: https://izlik.org/JA37MH96SN