1
Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq; College of Pharmacy, National University of Science and Technology, Dhi Qar, Iraq
(faisal.ghazi@uoanbar.edu.iq)
2
Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa, Saudi Arabia
(aalquran@kfu.edu.sa)
3
Department of Mathematics, College of Science and Arts, Qassim University, Unaizah 51911,Saudi Arabia
(B.Yousif@qu.edu.sa)
4
University Headquarter, Department of Scholarships and Cultural Relations, University Of Anbar, Ramadi, Anbar, Iraq
(abeert2017@uoanbar.edu.iq)
5
Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt; Department of Mathematics, College of Science and Arts, Qassim University, Al- Badaya 51951, Saudi Arabia
(hamiden@cu.edu.eg)
6
Curricula and Teaching Methods Department, College of Education, King Faisal University, Al-Ahsa 31982, Saudi Arabia
(maladail@kfu.edu.sa)
7
Basic Sciences Department, Osim Higher Institute of Administrative Sciences, Giza, Egypt
(abd-elazeem1@hotmail.com)
Abstract :
The incorporation of expert opinions and handling of data uncertainty are addressed by Al-Alkhazaleh through the introduction of a soft expert set. This extension of the soft set framework aims to enhance the analysis and decision-making processes by incorporating expert knowledge. On the other hand, the utilization of single neutrosophic sets (SVNSs) and fuzzy sets (FSs) has been introduced as models to effectively handle uncertain data. In this work, the authors propose a model that combines the essential characteristics of fuzzy sets (FSs) and single neutrosophic sets (SVNSs) within expert systems. Consequently, this model aims to offer decision-makers increased flexibility when interpreting uncertain information, empowering them in the decision-making process. From a scientific point of view, the process of evaluating this high-performance SVNFSES disappears. Therefore, in this paper, we initiated a new approach known as single-valued neutrosophic fuzzy soft expert sets (SVNFSESs) as a new development in a fuzzy soft computing environment. We investigate some fundamental operations on SVNFSESS along with their basic properties. Also, we investigate AND and OR operations between two SVNFSESS as well as several numerical examples to clarify the above fundamental operations. Finally, we have given an aggregation operator (AO) for SVNFSESs to construct a new algorithm to demonstrate the method’s effectiveness in handling some real-life applications.
Keywords :
Neutrosophic sets; neutrosophic soft sets; Single-valued neutrosophic soft sets; expert soft set; optimization; Decision Making.
References :
[1] F. Smarandache, Neutrosophic probability, set, and logic, American Research Press: Rehoboth, IL, USA, 1998.
[2] L.A. Zadeh,Fuzzy sets, Information and Control, vol 8, pp. 338–353.1965.
[3] D. Molodtsov, Soft set theory, first results, Computers and Mathematics with Applications, vol. 37, no.4- 5, pp. 19-31, 1999.
[4] Saqlain, M., Jafar, M. N., & Riaz, M. (2020). A new approach of neutrosophic soft set with generalized fuzzy TOPSIS in application of smart phone selection. Neutrosophic Sets and Systems, 32, 306.
[5] Z. bin M. Rodzi et al., “Integrated Single-Valued Neutrosophic Normalized Weighted Bonferroni Mean (SVNNWBM)-DEMATEL for Analyzing the Key Barriers to Halal Certification Adoption in Malaysia,” Int. J. Neutrosophic Sci., vol. 21, no. 3, pp. 106–114, 2023.
[6] Deli, I. (2017). Interval-valued neutrosophic soft sets and its decision making. International Journal of Machine Learning and Cybernetics, 8, 665-676.
[7] F. Al-Sharqi, A.G. Ahmad, A. Al-Quran, Interval-valued neutrosophic soft expert set from real space to complex space, Computer Modeling in Engineering and Sciences, vol. 132(1), pp. 267–293, 2022.
[8] Jha, S., Kumar, R., Son, L. H., Chatterjee, J. M., Khari, M., Yadav, N., & Smarandache, F. (2019). Neutrosophic soft set decision making for stock trending analysis. Evolving Systems, 10, 621-627.
[9] Broumi, S., Sahin, R., & Smarandache, F. (2014). Generalized interval neutrosophic soft set and its decision making problem. Journal of new results in science, 3(7), 29-47.
[10] Quek, S. G., Garg, H., Selvachandran, G., Palanikumar, M., Arulmozhi, K., & Smarandache, F. (2023). VIKOR and TOPSIS framework with a truthful-distance measure for the (t, s)-regulated interval-valued neutrosophic soft set. Soft Computing, 1-27.
[11] Al-Hijjawi, S., & Alkhazaleh, S. (2023). A generalized effective neurosophic soft set and its applications. AIMS Mathematics, 18(12), 29628-29666.
[12] Ashraf Al-Quran, Faisal Al-Sharqi, Zahari Md. Rodzi, Mona Aladil, Rawan A. shlaka, Mamika Ujianita Romdhini, Mohammad K. Tahat, Obadah Said Solaiman. (2023). The Algebraic Structures of QComplex Neutrosophic Soft Sets Associated with Groups and Subgroups. International Journal of Neutrosophic Science, 22 ( 1 ), 60-76.
[13] Al-Hijjawi, S., & Alkhazaleh, S. (2023). Possibility Neutrosophic Hypersoft Set (PNHSS). Neutrosophic Sets and Systems, 53(1), 7.
[14] F. Al-Sharqi, A. Al-Quran, M. U. Romdhini, Decision-making techniques based on similarity measures of possibility interval fuzzy soft environment, Iraqi Journal for Computer Science and Mathematics, vol. 4, pp.18–29, 2023.
[15] Zail, S. H., Abed, M. M., & Faisal, A. S. (2022). Neutrosophic BCK-algebra and -BCK-algebra. International Journal of Neutrosophic Science, 19(3), 8-15.
[16] Alkhazaleh, S., & Salleh, A. R. (2011). Soft Expert Sets. Adv. Decis. Sci., 2011, 757868-1.
[17] F. Al-Sharqi, M. U. Romdhini, A. Al-Quran, Group decision-making based on aggregation operator and score function of Q-neutrosophic soft matrix, Journal of Intelligent and Fuzzy Systems, vol. 45, pp.305–321, 2023.
[18] A. Al-Quran, F. Al-Sharqi, K. Ullah, M. U. Romdhini, M. Balti and M. Alomai, Bipolar fuzzy hypersoft set and its application in decision making, International Journal of Neutrosophic Science, vol. 20, no. 4, pp. 65-77, 2023.
[19] Sahin, M., Alkhazaleh, S., & Ulucay, V. (2015). Neutrosophic soft expert sets. Applied mathematics, 6(1), 116.
[20] F. Al-Sharqi, A.G. Ahmad, A. Al-Quran, Interval-valued neutrosophic soft expert set from real space to complex space, Computer Modeling in Engineering and Sciences, vol. 132(1), pp. 267–293, 2022.
[21] Uluc¸ay, V., S¸ ahin, M., & Hassan, N. (2018). Generalized neutrosophic soft expert set for multiple-criteria decision-making. Symmetry, 10(10), 437.
[22] Y. Al-Qudah and F. Al-Sharqi, Algorithm for decision-making based on similarity measures ofpossibility interval-valued neutrosophic soft setting settings. Int. J. Neutrosophic Sci., vol. 22, no. 3, pp. 69-83, 2023.
[23] F. Al-Sharqi, Y. Al-Qudah and N. Alotaibi, Decision-making techniques based on similarity measures of possibility neutrosophic soft expert sets. Neutrosophic Sets and Systems, 55(1) (2023), 358-382.
[24] Abu Qamar, M., & Hassan, N. (2018). Generalized Q-neutrosophic soft expert set for decision under uncertainty. Symmetry, 10(11), 621.
[25] Abed, M. M., Al-Jumaili, A. F., Al-sharqi, F. G. Some mathematical structures in a topological group. Journal of Algebra and Applied Mathematics. 2018, 16(2), 99-117.
[26] Al-Hijjawi, S., Ahmad, A. G., & Alkhazaleh, S. (2022). Time Q-Neutrosophic Soft Expert Set. International Journal of Neutrosophic Science (IJNS), 19(1).
[27] Jamiatun Nadwa Ismail et al. The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support. Int. J. Neutrosophic Sci., vol. 21, no. 2, pp. 129-141, 2023.
| Style | # |
|---|---|
| MLA | Faisal Al-Sharqi, Ashraf Al-Quran, Badria A. Ali Yousif, Abeer T. Faisal, Hamiden Abd El- Wahed Khalifa, Mona Aladil, Abd Elazeem M. Abd Elazeem. "Group decision-making algorithm based on AOs settings for single-valued neutrosophic fuzzy soft expert environment." International Journal of Neutrosophic Science, Vol. 23, No. 3, 2024 ,PP. 97-110 (Doi : https://doi.org/10.54216/IJNS.230309) |
| APA | Faisal Al-Sharqi, Ashraf Al-Quran, Badria A. Ali Yousif, Abeer T. Faisal, Hamiden Abd El- Wahed Khalifa, Mona Aladil, Abd Elazeem M. Abd Elazeem. (2024). Group decision-making algorithm based on AOs settings for single-valued neutrosophic fuzzy soft expert environment. Journal of International Journal of Neutrosophic Science, 23 ( 3 ), 97-110 (Doi : https://doi.org/10.54216/IJNS.230309) |
| Chicago | Faisal Al-Sharqi, Ashraf Al-Quran, Badria A. Ali Yousif, Abeer T. Faisal, Hamiden Abd El- Wahed Khalifa, Mona Aladil, Abd Elazeem M. Abd Elazeem. "Group decision-making algorithm based on AOs settings for single-valued neutrosophic fuzzy soft expert environment." Journal of International Journal of Neutrosophic Science, 23 no. 3 (2024): 97-110 (Doi : https://doi.org/10.54216/IJNS.230309) |
| Harvard | Faisal Al-Sharqi, Ashraf Al-Quran, Badria A. Ali Yousif, Abeer T. Faisal, Hamiden Abd El- Wahed Khalifa, Mona Aladil, Abd Elazeem M. Abd Elazeem. (2024). Group decision-making algorithm based on AOs settings for single-valued neutrosophic fuzzy soft expert environment. Journal of International Journal of Neutrosophic Science, 23 ( 3 ), 97-110 (Doi : https://doi.org/10.54216/IJNS.230309) |
| Vancouver | Faisal Al-Sharqi, Ashraf Al-Quran, Badria A. Ali Yousif, Abeer T. Faisal, Hamiden Abd El- Wahed Khalifa, Mona Aladil, Abd Elazeem M. Abd Elazeem. Group decision-making algorithm based on AOs settings for single-valued neutrosophic fuzzy soft expert environment. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 3 ): 97-110 (Doi : https://doi.org/10.54216/IJNS.230309) |
| IEEE | Faisal Al-Sharqi, Ashraf Al-Quran, Badria A. Ali Yousif, Abeer T. Faisal, Hamiden Abd El- Wahed Khalifa, Mona Aladil, Abd Elazeem M. Abd Elazeem, Group decision-making algorithm based on AOs settings for single-valued neutrosophic fuzzy soft expert environment, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 3 , (2024) : 97-110 (Doi : https://doi.org/10.54216/IJNS.230309) |