A view on Pythagorean fuzzy digital feeble topological spaces, nets and prefilters
N. Preethipreethi.mphil@gmail.comDepartment of Mathematics School of Advanced Sciences Vellore Institute of Technology ChennaiDepartment of Mathematics Sri Krishna College of Engineering and TechnologyCoimbatore, Tamil Nadu, 641008, India0000-0002-5704-5993View full profile → , *G. K. RevathiCorresponding authorgk revathi@yahoo.co.inDepartment of Mathematics School of Advanced Sciences Vellore Institute of Technology ChennaiDepartment of Mathematics School of Advanced Sciences Vellore Institute of TechnologyChennai, Tamil Nadu, 600127, India0000-0003-1899-7390View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Jun 2024
- Published Online:
- 05 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2155
- Pages:
- 1607–1622
Abstract
Keywords
Subject Classifications
References
[1] B. Agheli, M. Adabitabar Firozja, and H. Garg, “Similarity measure for Pythagorean fuzzy sets and application on multiple criteria decision making,” J. Stat. Manag. Syst., vol. 25, no. 4, pp. 749–769 (2021).
[2] M. Asim Basha and M. Mohammed Jabarulla, “Pythagorean fuzzy shortest hyper path in a network,” J. Interdiscip. Math., vol. 27, no. 5, pp. 1163–1173 (2024).
[3] K. Atanassov, “Intuitionistic fuzzy modal topological structure,” Mathematics, vol. 10, no. 3313 (2022).
[4] K. Atanassov, “Intuitionistic fuzzy modal multi-topological structures and intuitionistic fuzzy multi-modal multi-topological structures,” Mathematics, vol. 12, no. 361 (2024).
[5] K. T. Atanassov and S. Stoeva, “Intuitionistic fuzzy sets,” in Proc. Polish Symp. Internal and Fuzzy Mathematics, Poznan, pp. 23–26, Aug. (1983).
[6] K. T. Atanassov and R. Tsvetkov, “New intuitionistic fuzzy operations, operators and topological structures,” Iran. J. Fuzzy Syst., vol. 20, no. 7, pp. 37–53 (2023).
[7] P. A. Ejegwa, “Modal operators on Pythagorean fuzzy sets and some of their properties,” J. Fuzzy Math., vol. 27, pp. 939 (2019).
[8] T. Y. Kong and A. Rosenfeld, “Digital topology: Introduction and survey,” Comput. Vis. Graph. Image Process., vol. 48, pp. 357–393 (1989).
[9] S. Meenakshi, D. Amsaveni, and J. Tamilmani, “Intuitionistic fuzzy digital convexity,” Int. J. Comput. Appl. Math., vol. 12, no. 1, pp. 54–63 (2017).
[10] M. Olgun, M. Unver, and S. Yardimci, “Pythagorean fuzzy points and applications in pattern recognition and Pythagorean fuzzy topologies,” Soft Comput., vol. 25, pp. 5225–5232 (2021).
[11] M. Olgun, M. Unver, and S. Yardimci, “Pythagorean fuzzy topological spaces,” Complex Intell. Syst., vol. 5, pp. 177–183 (2019).
[12] N. Preethi and G. K. Revathi, “A conceptual view on PFD functions and its properties,” Test Eng. Manag., vol. 83, pp. 20050–20056 (2020).
[13] A. Rosenfeld, “Fuzzy digital topology,” Inform. Control, vol. 40, no. 1, pp. 76–87 (1979).
[14] A. Rosenfeld, “Digital topology,” Amer. Math. Monthly, vol. 86, pp. 621–630 (1979).
[15] R. Sivasamy and M. Mohammed Jabarulla, “Products on interval-valued Pythagorean fuzzy soft graphs,” J. Interdiscip. Math., vol. 27, no. 5, pp. 1029–1037 (2024).
[16] R. R. Yager, “Pythagorean fuzzy subsets,” in Proc. Joint IFSA World Congress and NAFIPS Annu. Meeting, Edmonton, Canada, (2013).
[17] L. A. Zadeh, “Fuzzy sets,” Inform. Control, vol. 9, pp. 338–353 (1965).
