Effective Q–fuzzy soft expert sets and its some properties

Authors

  • Zeynep Başer * Department of Mathematics, Kilis 7 Aralık University, Kilis 79000-Türkiye
  • 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.

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

Published

2024-12-14

How to Cite

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

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