Optimal parameter identification in soft set frameworks: a decision support model

Abstract

This paper addresses the critical issue of decision-making under uncertainty, with a particular focus on soft set theory. Soft sets offer robust mathematical tools for handling uncertainty, making them highly suitable for solving real-world problems characterized by incomplete or imprecise information. In this study, a novel algorithm is proposed to handle specific types of uncertain situations, effectively targeting a distinct class of uncertainty-related problems. The research also highlights the significance of collaborative evaluation processes in group decision-making, emphasizing the role of collective input in identifying optimal solutions in uncertain environments.

The key contribution of this study lies in enhancing decision-making processes under uncertainty, with broad applicability to complex, real-life scenarios influenced by ambiguous or incomplete data. The findings are expected to benefit both researchers and practitioners dealing with uncertainty-driven challenges, providing practical and applicable solutions. Moreover, this study serves as a foundation for future research and innovation in the field, offering valuable insights into the development of advanced decision-making frameworks under uncertainty.

Downloads

Download data is not yet available.

Author Biographies

Naime Demirtas, Mersin University

Associate Prof. Dr. Naime Demirtas, Department of Mathematics, Mersin University.

Orhan Dalkilic, Bingol University,Science Faculty, Department of Mathematics, Bingol, Turkiye.

Bingol University,Science Faculty, Department of Mathematics, Bingol, Turkiye.

References

Al-Sharqi, F., Al-Quran, A., Ahmad, A. G., & Broumi, S. (2021). Interval-Valued Complex Neutrosophic Soft Set and its Applications in Decision-Making. Neutrosophic Sets and Systems, 40(1), 25.

Cetkin, V., Aygunoglu, A. & Aygun, H. (2016). A new approach in handling soft decision making problems. J. Nonlinear Sci. Appl., 9, 231-239.

Dalkılıc, O. & Demirtas, N. (2021) VFP-soft sets and its application on decision making problems. Journal of Polytechnic, https://doi.org/10.2339/politeknik.685634.

Demirtas, N., Dizman, T. H., Davvaz, B., Yuksel, S. (2019). A comparative study for medical diagnosis of prostate cancer. New Trends in Mathematical Sciences, 7(1), 102-112.

Demirtas, N., Hussain, S. & Dalkılıc, O. (2020). New approaches of inverse soft rough sets and their applications in a decision making problem. Journal of applied mathematics and informatics, 38(3-4), 335-349.

Demirtas, N. & Dalkılıc, O. (2020). Decompositions of Soft α-continuity and Soft A-continuity. Journal of New Theory, (31), 86-94.

Demirtas, N., & Dalkılıc, O., Consistency measurement using the artificial neural network of the results obtained with fuzzy topsis method for the diagnosis of prostate cancer, TWMS J. App. and Eng. Math., 11(1), 237-249, 2021.

Demirtas, N. & Dalkılıc, O. (2019). An application in the diagnosis of prostate cancer with the help of bipolar soft rough sets. on Mathematics and Mathematics Education (ICMME 2019), 283.

Guzel Ergul Z. and Yuksel S., (2019). A new type of soft covering based rough sets applied to multicriteria group decision making for medical diagnosis. Mathematical Sciences and Applications E-Notes, 7 (1), 28-38.

Hussain, A., Ali, M. I., Mahmood, T., & Munir, M. (2020). q-Rung orthopair fuzzy soft average aggregation operators and their application in multicriteria decision-making. International Journal of Intelligent Systems, 35(4), 571-599.

Khalil, A.M., Cao, D., Azzam, A.A., Smarandache, F., & Alharbi, W. (2020). Combination of the single-valued neutrosophic fuzzy set and the soft set with applications in decision-making. Symmetry, 12(8), 1361.

Khan, M.J., Kumam, P., Liu, P., & Kumam, W. (2020). An adjustable weighted soft discernibility matrix based on generalized picture fuzzy soft set and its applications in decision making. Journal of Intelligent and Fuzzy Systems, 38(2), 2103-2118.

Kirisci, M. (2020). Medical decision making with respect to the fuzzy soft sets. Journal of Interdisciplinary Mathematics, 23(4), 767-776.

Kirisci, M., & Simsek, N. (2022). Decision making method related to Pythagorean Fuzzy Soft Sets with infectious diseases application. Journal of King Saud University-Computer and Information Sciences, 34(8), 5968-5978.

Maji, P.K., Biswas, R. & Roy, A.R. (2001). Fuzzy soft set theory. Journal of Fuzzy Mathematics, 9(3), 589–602.

Molodtsov, D. (1999). Soft set theory first results. Comput. Math. Appl., 37, 19-31.

Ozturk, T. Y., Dizman, T. H. (2019). A New Approach to Operations on Bipolar Neutrosophic Soft Sets and Bipolar Neutrosophic Soft Topological Spaces. Infinite Study.

Riaz, M., Naeem, K., & Afzal, D. (2020). Pythagorean m-polar fuzzy soft sets with TOPSIS method for MCGDM. Punjab University Journal of Mathematics, 52(3), 21-46.

Simsekler Dizman, T., Ozturk, T. Y. (2021). Fuzzy bipolar soft topological spaces. TWMS Journal of Applied and Engineering Mathematics.

Voskoglou, M. G. (2022). Application of soft sets to assessment processes. American Journal of Applied Mathematics and Statistics, 10(1), 1-3.

Yuksel, S¸., Guzel Ergul, Z. and Tozlu, N., (2014). Soft covering based rough sets and their application. The Scientific World Journal, Article ID 970893.

Yuksel, S., Dizman, T., Yildizdan, G., Sert, U. (2013). Application of soft sets to diagnose the prostate cancer risk. Journal of Inequalities and Applications, 2013, 1-11.

Zadeh, L.A. (1965). Fuzzy set. Information and Control, 8(3), 338–353.

Zeeshan, M., Khan, M., & Iqbal, S. (2022). Distance function of complex fuzzy soft sets with application in signals. Computational and Applied Mathematics, 41(3), 96.

Published
2025-08-11
Section
Research Articles