Effective Q–fuzzy soft expert sets and its some properties

Authors

  • Zeynep Başer * Department of Mathematics, Kilis 7 Aralık University, Kilis 79000-Türkiye. https://orcid.org/0000-0003-4391-4075
  • Vakkas Uluçay Department of Mathematics, Kilis 7 Aralık University, Kilis 79000-Türkiye.

https://doi.org/10.48313/uda.v1i2.41

Abstract

In 2023, Alkhazaleh [1] introduced the concept of the Effective Fuzzy Soft Expert Set (EFSES) as a new mathematical tool to address uncertain problems in decision-making and medical diagnosis. The virtue of this concept is its adaptability to deal with uncertain problems involving external effects. However, some uncertain decision-making problems, especially those with external effects, must be judged by several experts. To this end, this paper extends the concept of EFSES to the concept of an Effective Q-Fuzzy Soft Expert Set (EQFSES). The concept of QFSES is further extended to include the operations of union, intersection AND, and OR using De Morgan's Law. Definitions and propositions on these operations are introduced. The results indicate that the proposed EQFSES framework provides a more comprehensive and flexible representation of uncertainty by effectively integrating multiple expert opinions with external effects, thereby enhancing the robustness of complex decision-making models. Future studies may extend the EQFSES framework to neutrosophic or hybrid environments and investigate its applicability in real-world multi-criteria decision-making problems to further validate its practical effectiveness.

Keywords:

Fuzzy soft expert set, Q-fuzzy soft expert set, Effective Q-fuzzy soft expert set

References

  1. [1] Alkhazaleh, S., & Beshtawi, E. (2023). Effective fuzzy soft expert set theory and its applications. International journal of fuzzy logic and intelligent systems, 23(2), 192–204. https://doi.org/10.5391/IJFIS.2023.23.2.192
  2. [2] Bede, B. (2013). Fuzzy sets. Information and control, 1–12. https://doi.org/10.1007/978-3-642-35221-8_1
  3. [3] Molodtsov, D. (1999). Soft set theory - first results. Computers and mathematics with applications, 37(4–5), 19–31. https://doi.org/10.1016/s0898-1221(99)00056-5
  4. [4] Maji, P. K., Biswas, R., & Roy, A. R. (2001). Fuzzy soft sets. The journal of fuzzy mathematics, 9(3), 589–602. https://sid.ir/paper/633097/en
  5. [5] Maji, P. K., Roy, A. R., & Biswas, R. (2002). An application of soft sets in a decision making problem. Computers & mathematics with applications, 44(8–9), 1077–1083. https://core.ac.uk/download/pdf/82179651.pdf
  6. [6] Maji, P. K., Biswas, R., & Roy, A. R. (2003). Soft set theory. Computers and mathematics with applications, 45(4–5), 555–562. https://doi.org/10.1016/S0898-1221(03)00016-6
  7. [7] Roy, A. R., & Maji, P. K. (2007). A fuzzy soft set theoretic approach to decision making problems. Journal of computational and applied mathematics, 203(2), 412–418. https://doi.org/10.1016/j.cam.2006.04.008
  8. [8] Yang, X., Lin, T. Y., Yang, J., Li, Y., & Yu, D. (2009). Combination of interval-valued fuzzy set and soft set. Computers and mathematics with applications, 58(3), 521–527. https://doi.org/10.1016/j.camwa.2009.04.019
  9. [9] Alkhazaleh, S., & Salleh, A. R. (2011). Soft expert sets. Advances in decision sciences, 2011, 757861–757868. https://doi.org/10.1155/2011/757868
  10. [10] Alkhazaleh, S., & Salleh, A. R. (2014). Fuzzy soft expert set and its application. Applied mathematics, 5(9), 1349–1368. https://doi.org/10.4236/am.2014.59127
  11. [11] Hazaymeh, A. A., Abdullah, I. B., Balkhi, Z. T., & Ibrahim, R. I. (2012). Generalized fuzzy soft expert set. Journal of applied mathematics, 2012(1), 328195. https://doi.org/10.1155/2012/328195
  12. [12] Hassan, N., & Alhazaymeh, K. (2013). Vague soft expert set theory. AIP conference proceedings (Vol. 1522, No. 953, pp. 953-958). AIP Publishing. https://doi.org/10.1063/1.4801233
  13. [13] Alhazaymeh, K., & Hassan, N. (2013). Generalized vague soft expert set theory. AIP conference proceedings (Vol. 1571, No. 1, pp. 970-974). American Institute of Physics. https://doi.org/10.1063/1.4858779
  14. [14] Alhazaymeh, K., & Hassan, N. (2014). Generalized vague soft expert set. International journal of pure and applied mathematics, 93(3), 351–360. https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=c87bf87e655f8fcd24df22d310215d9b6889355a
  15. [15] Alhazaymeh, K., & Hassan, N. (2014). Mapping on generalized vague soft expert set. International journal of pure and applied mathematics, 93(3), 369–376. https://doi.org/10.12732/ijpam.v93i3.7
  16. [16] Adam, F., & Hassan, N. (2016). Multi Q-fuzzy soft expert set and its application. Journal of intelligent & fuzzy systems, 30, 943–950. https://doi.org/10.3233/IFS-151816
  17. [17] Adam, F., & Hassan, N. (2014). Q-fuzzy soft set. Applied mathematical sciences, 8(173–176), 8689–8695. https://doi.org/10.12988/ams.2014.410865
  18. [18] Adam, F., & Hassan, N. (2014). Operations on Q-fuzzy soft set. Applied mathematical sciences, 8(173–176), 8697–8701. https://doi.org/10.12988/ams.2014.410866
  19. [19] Adam, F., & Hassan, N. (2014). Q-fuzzy soft matrix and its application. AIP conference proceedings, 1602, 772–778. https://doi.org/10.1063/1.4882573
  20. [20] Adam, F., & Hassan, N. (2014). Multi Q-fuzzy parameterized soft set and its application. Journal of intelligent and fuzzy systems, 27(1), 419–424. https://doi.org/10.3233/IFS-131009
  21. [21] Adam, F., & Hassan, N. (2014). Properties on the multi Q-fuzzy soft matrix. AIP conference proceedings, 1614(1), 834–839. https://doi.org/10.1063/1.4895310
  22. [22] Adam, F., & Hassan, N. (2015). Multi q-fuzzy soft set and its application. Far east journal of mathematical sciences, 97(7), 871–881. https://doi.org/10.17654/FJMSAug2015_871_881
  23. [23] Alkhazaleh, S. (2022). Effective fuzzy soft set theory and its applications. Applied computational intelligence and soft computing, 2022(1), 6469745. https://doi.org/10.1155/2022/6469745
  24. [24] Hazaymeh, A. (2024). Time effective fuzzy soft set and its some applications with and without a Neutrosophic. International journal of neutrosophic science, 23(2), 129–149. https://doi.org/10.54216/IJNS.230211
  25. [25] Almasabi, S. H., & Alsager, K. M. (2023). Q-multi cubic pythagorean fuzzy sets and their correlation coefficients for multi-criteria group decision making. Symmetry, 15(11), 2026. https://doi.org/10.3390/sym15112026

Downloads

Published

2024-12-14

Issue

Vol. 1 No. 2 (2024): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Başer, Z. ., & Uluçay, V. . (2024). Effective Q–fuzzy soft expert sets and its some properties. Uncertainty Discourse and Applications, 1(2), 195-209. https://doi.org/10.48313/uda.v1i2.41

Similar Articles

11-20 of 39

You may also start an advanced similarity search for this article.