A Weighted Expert Framework in Neutrosophic Soft Expert Sets: Theory and Applications

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DOI: https://doi.org/10.28924/2291-8639-24-2026-244
Published: Aug 17, 2026
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Naser Odat, A Weighted Expert Framework in Neutrosophic Soft Expert Sets: Theory and Applications, Int. J. Anal. Appl., 24 (2026), 244.

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Naser Odat

Abstract

A very useful and effective modification of soft sets that particularly addresses parameterized values of alternatives is the neutrosophic soft set. But many algorithms for generating decisions based on neutrosophic soft sets tend to ignore the outside influences on their performance. The novel idea of a weighted expert neutrosophic soft expert set is presented in this study. It is carefully designed to capture outside impacts on neutrosophic soft sets and expert views in a single model. The outcome removes the need for further procedures. Interestingly, our novel method combines the advantages of the effective set with the neutrosophic soft expert set, leading to increased effectiveness and realism in this field. This paper thoroughly examines the basic functions of a weighted expert neutrosophic soft expert set (WNSES), clarifying these functions with appropriate examples. The study concludes by demonstrating how this idea may be used practically in decision-making situations, supporting its effectiveness using algorithms and examples.

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References

  1. L.A. Zadeh, Fuzzy Sets, Inf. Control 8 (1965), 338–353. https://doi.org/10.1016/s0019-9958(65)90241-x.
  2. F. Smarandache, Neutrosophic Set, a Generalization of the Intuitionistic Fuzzy Sets, Int. J. Pure Appl. Math. 24 (2005), 287–297.
  3. D. Molodtsov, Soft Set Theory—First Results, Comput. Math. Appl. 37 (1999), 19–31. https://doi.org/10.1016/s0898-1221(99)00056-5.
  4. P. Majumdar, S.K. Samanta, Generalised Fuzzy Soft Sets, Comput. Math. Appl. 59 (2010), 1425–1432. https://doi.org/10.1016/j.camwa.2009.12.006.
  5. S. Alkhazaleh, A.R. Salleh, Soft Expert Sets, Adv. Decis. Sci. 2011 (2011), 1–12. https://doi.org/10.1155/2011/757868.
  6. S. Alkhazaleh, A.R. Salleh, Fuzzy Soft Expert Set and Its Application, Appl. Math. 05 (2014), 1349–1368. https://doi.org/10.4236/am.2014.59127.
  7. P.K. Maji, Neutrosophic Soft Set, Ann. Fuzzy Math. Inform. 5 (2013), 157–168.
  8. M. Sahin, S. Alkhazaleh, V. Ulucay, Neutrosophic Soft Expert Sets, Appl. Math. 06 (2015), 116–127. https://doi.org/10.4236/am.2015.61012.
  9. S. Al-Hijjawi, A.G. Ahmad, S. Alkhazaleh, A Generalized Effective Neurosophic Soft Set and Its Applications, AIMS Math. 8 (2023), 29628–29666. https://doi.org/10.3934/math.20231517.
  10. A.A. Hazaymeh, Time-Shadow Soft Set: Concepts and Applications, Int. J. Fuzzy Log. Intell. Syst. 24 (2024), 387–398. https://doi.org/10.5391/ijfis.2024.24.4.387.
  11. A. Hazaymeh, Time Effective Fuzzy Soft Set and Its Some Applications with and without a Neutrosophic, Int. J. Neutrosophic Sci. 23 (2024), 129–149. https://doi.org/10.54216/ijns.230211.
  12. A. Ayman, Time Fuzzy Soft Sets and Its Application in Decision-Making, Int. J. Neutrosophic Sci. 25 (2025), 37–50. https://doi.org/10.54216/ijns.250304.
  13. A. Ayman, Time Factor’s Impact on Fuzzy Soft Expert Sets, Int. J. Neutrosophic Sci. 25 (2025), 155–176. https://doi.org/10.54216/ijns.250315.
  14. A.A. Hazaymeh, A. Bataihah, Multiple Opinions in a Fuzzy Soft Expert Set and Their Application to Decision-Making Issues, Int. J. Neutrosophic Sci. 26 (2025), 191–201. https://doi.org/10.54216/IJNS.260313.
  15. A. Bataihah, A.A. Hazaymeh, Time Fuzzy Parameterized Fuzzy Soft Expert Sets, Int. J. Neutrosophic Sci. 25 (2025), 101–121. https://doi.org/10.54216/IJNS.250409.
  16. A. Hazaymeh, A. Bataihah, M. Abu Qamar, N. Alodat, A. Melhem, On Parameterized Time Neutrosophic Soft Set and Its Application, Eur. J. Pure Appl. Math. 18 (2025), 5940. https://doi.org/10.29020/nybg.ejpam.v18i3.5940.
  17. A. Bataihah, The Effect of the Weighted Expert Factor on Time Fuzzy Soft Expert Sets, Eur. J. Pure Appl. Math. 18 (2025), 5937. https://doi.org/10.29020/nybg.ejpam.v18i2.5937.
  18. R. Hatamleh, A.A. Hazaymeh, On Some Topological Spaces Based on Symbolic n-Plithogenic Intervals, Int. J. Neutrosophic Sci. 25 (2025), 23–37. https://doi.org/10.54216/ijns.250102.
  19. R. Hatamleh, A.A. Hazaymeh, On the Topological Spaces of Neutrosophic Real Intervals, Int. J. Neutrosophic Sci. 25 (2025), 130–136. https://doi.org/10.54216/ijns.250111.
  20. R. Hatamleh, A. Hazaymeh, Finding Minimal Units in Several Two-Fold Fuzzy Finite Neutrosophic Rings, Neutrosoph. Sets Syst. 70 (2024), 1.
  21. R. Hatamleh, A.A. Hazaymeh, The Properties of Two-Fold Algebra Based on the n-Standard Fuzzy Number Theoretical System, Int. J. Neutrosophic Sci. 25 (2025), 172–178. https://doi.org/10.54216/ijns.250115.
  22. A. Hazaymeh, Fixed Point Results in Complete Neutrosophic Fuzzy Metric Spaces for NF-L Contractions, Neutrosoph. Sets Syst. 82 (2025), 189–208. https://doi.org/10.5281/zenodo.14962742.
  23. A. Hazaymeh, Some Fixed Point Results with T-Distance Spaces in Complete b-Metric Spaces, J. Mech. Contin. Math. Sci. 20 (2025), 1–11. https://doi.org/10.26782/jmcms.2025.03.00001.
  24. A. Hazaymeh, A. Bataihah, Results on Fixed Points in Neutrosophic Metric Spaces through the Use of Simulation Functions, J. Math. Anal. 15 (2024), 47–57. https://doi.org/10.54379/jma-2024-6-4.
  25. A.A. Hazaymeh, A. Bataihah, Neutrosophic Fuzzy Metric Spaces and Fixed Points for Contractions of Nonlinear Type, Neutrosoph. Sets Syst. 77 (2025), 96–112.
  26. A. Bataihah, A.A. Hazaymeh, Neutrosophic Fuzzy Metric Spaces and Fixed Points Results with Integral Contraction Type, Int. J. Neutrosophic Sci. 25 (2025), 561–572. https://doi.org/10.54216/ijns.250344.
  27. A. Al-Tawil, A.A. Hazaymeh, A. Bataihah, Fixed Point Results in ωt-Distance Mappings for Geraghty Type Contractions, Int. J. Neutrosophic Sci. 26 (2025), 01–14. https://doi.org/10.54216/IJNS.260101.
  28. M. Hajjat, A. Bataihah, A.A. Hazaymeh, Some Results on Fixed Point in Generalized Metric Spaces via an Auxiliary Function, Int. J. Neutrosophic Sci. 26 (2025), 171–180. https://doi.org/10.54216/IJNS.260115.
  29. A. Bataihah, A. Hazaymeh, Quasi Contractions and Fixed Point Theorems in the Context of Neutrosophic Fuzzy Metric Spaces, Eur. J. Pure Appl. Math. 18 (2025), 5785. https://doi.org/10.29020/nybg.ejpam.v18i1.5785.
  30. A. Bataihah, A.A. Hazaymeh, Y. Al-Qudah, F. Al-Sharqi, Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions, Neutrosoph. Sets Syst. 82 (2025), 1–16. https://doi.org/10.5281/zenodo.14960868.
  31. A. Bataihah, A.A. Hazaymeh, N. Odat, A. Melhem, M.A. Qamar, Utilizing Simulation Functions in Demonstrating Fixed Point Theorems within Complete Neutrosophic Fuzzy Metric Spaces, WSEAS Trans. Math. 24 (2025), 584–594. https://doi.org/10.37394/23206.2025.24.57.
  32. A. Bataihah, N. Odat, A.A. Hazaymeh, T. Qawasmeh, R. Abdelrahim, et al., Common Fixed Point Results in Complete NMS by Utilizing Geraghty Functions, Nonlinear Funct. Anal. Appl. 30 (2025), 831–846. https://doi.org/10.22771/nfaa.2025.30.03.11.
  33. A. Bataihah, A.H. Ansari, S.H.J. Petroudi, T. Qawasmeh, A. Hazaymeh, Gamma-k Distance and Fixed Point Theorems, Gulf J. Math. 20 (2025), 275–287. https://doi.org/10.56947/gjom.v20i2.3169.
  34. F. Seddiki, A.A. Hazaymeh, M. Aljazzazi, R. Qaralleh, A. Bataihah, et al., Analytical Investigation of the Existence and Ulam Stability of Integro-Differential Equations with Conformable Derivatives Under Non-Local Conditions, Int. J. Robot. Control Syst. 5 (2025), 1596–1607. https://doi.org/10.31763/ijrcs.v5i2.1828.
  35. W. Shatanawi, G. Maniu, A. Bataihah, F.B. Ahmad, Common Fixed Points for Mappings of Cyclic Form Satisfying Linear Contractive Conditions with Omega-Distance, Sci. Bull. Univ. Politeh. Buchar. Ser. A Appl. Math. Phys. 79 (2017), 11–20.
  36. A. Bataihah, T. Qawasmeh, I.M. Batiha, I.H. Jebril, T. Abdeljawad, Gamma Distance Mappings with Application to Fractional Boundary Differential Equation, J. Math. Anal. 15 (2024), 99–106. https://doi.org/10.54379/jma-2024-5-7.
  37. A. Bataihah, A Decision Making Framework Using Parameterized Interval Valued Fuzzy Soft Expert Sets, Stat. Optim. Inf. Comput. 15 (2026), 2829–2854. https://doi.org/10.19139/soic-2310-5070-3156.
  38. A. Bataihah, Some Fixed Point Results with Application to Fractional Differential Equation via New Type of Distance Spaces, Results Nonlinear Anal. 7 (2024), 202–208. https://doi.org/10.31838/rna/2024.07.03.015.
  39. T. Fujita, A.A. Hazaymeh, I.M. Batiha, A. Bataihah, J. Oudetallah, Short Note of Linguistic SuperHypersoft Set, Stat. Optim. Inf. Comput. 14 (2025), 2172–2180. https://doi.org/10.19139/soic-2310-5070-2599.
  40. Y. Al-Qudah, A.A. Hazaymeh, F. Al-Sharqi, M.U. Romdhini, S.J. Shoja, A Robust Approach to Possibility Single-Valued Neutrosophic Dombi-Weighted Aggregation Operators for Multiple Attribute Decision-Making, Neutrosoph. Sets Syst. 86 (2025), 476–494.
  41. Y. Al-Qudah, F. Al-Sharqi, A. Bataihah, A Novel Q-Neutrosophic Soft Under Interval Matrix Setting and Its Applications, Int. J. Neutrosophic Sci. 25 (2025), 156–168. https://doi.org/10.54216/IJNS.250413.
  42. A. Nasir, J. Husni, A.A. Hazaymeh, Shape Preserving Monotonic and Convex Data Interpolation Using Rational Cubic Ball Functions, Int. J. Neutrosophic Sci. 25 (2025), 489–500. https://doi.org/10.54216/IJNS.250340.
  43. S. Alkhazaleh, A.A. Hazaymeh, n-Valued Refined Neutrosophic Soft Sets and Their Applications in Decision Making Problems and Medical Diagnosis, J. Artif. Intell. Soft Comput. Res. 8 (2018), 79–86. https://doi.org/10.1515/jaiscr-2018-0005.
  44. A.A.M. Hazaymeh, Fuzzy Soft Set and Fuzzy Soft Expert Set: Some Generalizations and Hypothetical Applications, Thesis, Universiti Sains Islam Malaysia, 2013.
  45. A.A. Hazaymeh, I.B. Abdullah, Z.T. Balkhi, R.I. Ibrahim, Generalized Fuzzy Soft Expert Set, J. Appl. Math. 2012 (2012), 328195. https://doi.org/10.1155/2012/328195.
  46. A. Hazaymeh, I.B. Abdullah, Z. Balkhi, R. Ibrahim, Fuzzy Parameterized Fuzzy Soft Expert Set, Appl. Math. Sci. 6 (2012), 5547-5564.
  47. W. Al-Omeri, A. Hazaymeh, T. Younis, Neutrosophic Semi δ-Pre Irresolute Mappings, Int. J. Anal. Appl. 24 (2026), 7. https://doi.org/10.28924/2291-8639-24-2026-7.
  48. A. Bataihah, T. Qawasmeh, A.A. Hazaymeh, Time Metric Spaces a Framework for Time Sensitive Distance, Gulf J. Math. 21 (2025), 301-311. https://doi.org/10.56947/gjom.v21i2.3656.
  49. A. Hazaymeh, R. Saadeh, R. Hatamleh, M.W. Alomari, A. Qazza, A Perturbed Milne’s Quadrature Rule for n-Times Differentiable Functions with Lp-Error Estimates, Axioms 12 (2023), 803. https://doi.org/10.3390/axioms12090803.
  50. A. Hazaymeh, A. Qazza, R. Hatamleh, M.W. Alomari, R. Saadeh, On Further Refinements of Numerical Radius Inequalities, Axioms 12 (2023), 807. https://doi.org/10.3390/axioms12090807.
  51. B.A. Aldeeb, M.A. Al-Betar, N.M. Norwawi, K.A. Alissa, M.K. Alsmadi, et al., Hybrid Intelligent Water Drops Algorithm for Examination Timetabling Problem, J. King Saud Univ. - Comput. Inf. Sci. 34 (2022), 4847–4859. https://doi.org/10.1016/j.jksuci.2021.06.016.
  52. A.A. Hazaymeh, I.M. Batiha, N. Alodat, T. Qawasmeh, R. Abdelrahim, et al., Estimation of Reliability Based on Rayleigh Distribution, Stat. Optim. Inf. Comput. 15 (2026), 2417–2426. https://doi.org/10.19139/soic-2310-5070-3027.
  53. A. Bataihah, A.H. Ansari, A. Hazaymeh, et al. Fixed Point Results in Neutrosophic Fuzzy Metric Spaces for Contractions Based on C-Class Functions, Results Nonlinear Anal. 8 (2026), 97–108.
  54. R. Hatamleh, V.A. Zolotarev, On Two-Dimensional Model Representations of One Class of Commuting Operators, Ukr. Math. J. 66 (2014), 122–144. https://doi.org/10.1007/s11253-014-0916-9.
  55. D. Jawad Hashim, N.R. Anakira, A. Fareed Jameel, A.K. Alomari, H. Zureigat, M.W. Alomari, T.Y. Ying, New Series Approach Implementation for Solving Fuzzy Fractional Two-Point Boundary Value Problems, Math. Probl. Eng. 2022 (2022), 7666571.