Journals / Journal of New Theory / 2021 / Cilt: 2021 - Sayı: 34

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

Pages
82–144
Publication Date
2022-10-19
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we discuss the need for further research.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:Finally, we discuss the need for further research.
🔬Design:Modeling & Simulation
📍Scope:2013 Verileri
⚙️Variables:Fuzzy sets · Soft sets · Soft matrices

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.

🔖

Cite This Article

AYDIN, T., ENGİNOĞLU, S., MEMİŞ, S., ARSLAN, B. (2022). Operability-Oriented Configurations of the Soft Decision-Making Methods Proposed between 2013 and 2016 and Their Comparisons. Journal of New Theory, Cilt: 2021 - Sayı: 34, 82–144. https://ajindex.com/articles/565735

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  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.
  11. A. Ullah, F. Karaaslan, I. Ahmad, Soft Uni-Abel-Grassmann’s Groups, European Journal of Pure and Applied Mathematics 11(2) (2018) 517-536.
  12. A. Sezgin, N. Çağman, F. Çıtak, α-Inclusions Applied to Group Theory via Soft Set and Logic, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68(1) (2019) 334-352.
  13. S. Enginoğlu, N. Çağman, S. Karataş, T. Aydın, On Soft Topology, El-Cezerî Journal of Science and Engineering 2(3) (2015) 23-38.
  14. G. Şenel, A New Approach to Hausdorff Space Theory via the Soft Sets, Mathematical Problems in Engineering Article ID 2196743, (2016) 6 pages. J. Thomas, S. J. John, A Note on Soft Topology, Journal of New Results Science 5(11) (2016) 24-29.
  15. S. Atmaca, Relationship between Fuzzy Soft Topological Spaces and (X,τ_e ) Parameter Spaces, Cumhuriyet Sciences Journal 38(4) (2017) 77-85.
  16. M. Riaz, M. R. Hashmi, Fuzzy Parameterized Fuzzy Soft Topology with Applications, Annals of Fuzzy Mathematics and Informatics 13(5) (2017) 593-613.
  17. M. Riaz, M. R. Hashmi, A. Farooq, Fuzzy Parameterized Fuzzy Soft Metric Spaces, Journal of Mathematical Analysis 9(2) (2018) 25