1
Department of Mathematics, Faculty of Arts and Sciences, Kastamonu University, Turkey
(hsn.dad@gmail.com)
Abstract :
In recent years, neutrosophic soft bitopological spaces have emerged as a promising framework for handling uncertainty and imprecision in various domains, particularly in the context of decision-making problems. This paper presents a comprehensive study of advanced decision-making techniques using generalized close sets in neutrosophic soft bitopological spaces. The primary objective of this research is to develop a better understanding of the theoretical underpinnings of generalized close sets and their practical applications in decision-making under uncertain conditions. We begin by providing a detailed introduction to the key concepts of neutrosophic sets, neutrosophic soft sets, and neutrosophic soft bitopological spaces. Subsequently, we introduce generalized close sets and discuss their properties and interrelationships with other relevant constructs in the field. The paper then delves into the decision-making aspect, presenting various methodologies for solving decision-making problems using generalized close sets in the context of neutrosophic soft bitopological spaces. Numerous illustrative examples and case studies are provided throughout the paper to demonstrate the applicability and effectiveness of the proposed techniques in handling complex decision-making problems in real-world scenarios. The results of this research not only contribute to the existing body of knowledge in the field but also offer valuable insights for practitioners and researchers seeking to employ advanced decision-making techniques in uncertain environments.
Keywords :
Neutrosophic Soft Bitopological Spaces; Generalized Close Sets; Decision-Making; Uncertainty; Neutrosophic Sets; Neutrosophic Soft Sets.
References :
[1] Smarandache, F. (2005). Neutrosophic set, a generalisation of the intuitionistic fuzzy sets. Int. J. Pure Appl. Math., 24, 287-297.
[2] Salma, A. A., & Alblowi, S. A. (2012). Neutrosophic set and neutrosophic topological spaces. IOSR J. Math., 3(4), 31-35.
[3] Maji, P. (2013). Neutrosophic soft set. Annals of Fuzzy Mathematics and Informatics, 5(1), 157-168.
[4] Taha, Y., Cigdem, G. A., & Sadi, B. (2019). A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces. Communications in Mathematics and Applications, 10(3), 481-493.
[5] Taha, Y. O., Cigdem, G. A., & Sadi, B. (2019). Separation axioms on neutrosophic soft topological spaces. Turk. J. Math, 43, 498-510.
[6] Dadas, H., & Demiralp, S. (2021). Introduction to neutrosophic soft bitopological spaces. International Journal of Neutrosophic Science, 14(2), 72-81.
[7] Dadas, H., & Demiralp, S. (2021). Neutrosophic Soft Tri-Topological Spaces. International Journal of Neutrosophic Science, 15(2), 77-88.
[8] Demiralp, S., & Dadas, H. (2022). Generalized Open Sets in Neutrosophic Soft Bitopological Spaces. Neutrosophic Sets and Systems, 48, 339-355.
[9] Bisher Ziena, M., and Abobala, M., " On The Refined Neutrosophic Real Analysis Based on Refined Neutrosophic Algebraic AH-Isometry", Neutrosophic Sets and Systems, vol. 54, 2023.
[10] Sarkis, M., " On The Solutions Of Fermat's Diophantine Equation In 3-refined Neutrosophic Ring of Integers", Neoma Journal of Mathematics and Computer Science, 2023.
[11] Abobala, M., Bal, M., Aswad, M., "A Short Note On Some Novel Applications of Semi Module Homomorphisms", International journal of neutrosophic science, 2022.
[12] Abualkishik, A., Almajed, R., Thompson, W., "Improving The Performance of Fog-assisted Internet of Things Networks Using Bipolar Trapezoidal Neutrosophic Sets", Journal of Wireless and Ad Hoc Communication, 2023.
[13] Olgun, N., Hatip, A., Bal, M., and Abobala, M., " A Novel Approach To Necessary and Sufficient Conditions For The Diagonalization of Refined Neutrosophic Matrices", International Journal of neutrosophic Science, Vol. 16, pp. 72-79, 2021.
| Style | # |
|---|---|
| MLA | Hasan Dadaş. "Advanced Decision-Making Techniques with Generalized Close Sets in Neutrosophic Soft Bitopological Spaces." Galoitica: Journal of Mathematical Structures and Applications, Vol. 10, No. 1, 2024 ,PP. 08-16 (Doi : https://doi.org/10.54216/GJMSA.0100101) |
| APA | Hasan Dadaş. (2024). Advanced Decision-Making Techniques with Generalized Close Sets in Neutrosophic Soft Bitopological Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 10 ( 1 ), 08-16 (Doi : https://doi.org/10.54216/GJMSA.0100101) |
| Chicago | Hasan Dadaş. "Advanced Decision-Making Techniques with Generalized Close Sets in Neutrosophic Soft Bitopological Spaces." Journal of Galoitica: Journal of Mathematical Structures and Applications, 10 no. 1 (2024): 08-16 (Doi : https://doi.org/10.54216/GJMSA.0100101) |
| Harvard | Hasan Dadaş. (2024). Advanced Decision-Making Techniques with Generalized Close Sets in Neutrosophic Soft Bitopological Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 10 ( 1 ), 08-16 (Doi : https://doi.org/10.54216/GJMSA.0100101) |
| Vancouver | Hasan Dadaş. Advanced Decision-Making Techniques with Generalized Close Sets in Neutrosophic Soft Bitopological Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2024); 10 ( 1 ): 08-16 (Doi : https://doi.org/10.54216/GJMSA.0100101) |
| IEEE | Hasan Dadaş, Advanced Decision-Making Techniques with Generalized Close Sets in Neutrosophic Soft Bitopological Spaces, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 10 , No. 1 , (2024) : 08-16 (Doi : https://doi.org/10.54216/GJMSA.0100101) |