SavedAdd your journal

Journals / Sakarya University Journal of Science / 2022 / Cilt: 26 Sayı: 1

Bipolar Fuzzy Supra Topological Spaces

Hami MALKOÇ
Banu PAZAR VAROL
Pages
156–168
Publication Date
2022-02-28
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, we attempt to define the concept of compactness on bipolar fuzzy supra topology.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present work, we introduce bipolar fuzzy supra topological space as a generalization of fuzzy supra topological space, investigate the basic properties, give the concepts of interior and closure and encouraged them by examples and counterexamples.
📊
Key Findings & Data:Moreover, we study the concepts of bipolar fuzzy supra continuity and S^* bipolar fuzzy supra continuity and see that composition of two S^* bipolar fuzzy supra continuous functions may not be a S^* bipolar fuzzy supra continuous function.
💡
Conclusion & Impact:Also, we attempt to define the concept of compactness on bipolar fuzzy supra topology.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bipolar fuzzy set · bipolar fuzzy supra topology · bipolar fuzzy supra continuity

Abstract

In the present work, we introduce bipolar fuzzy supra topological space as a generalization of fuzzy supra topological space, investigate the basic properties, give the concepts of interior and closure and encouraged them by examples and counterexamples. Moreover, we study the concepts of bipolar fuzzy supra continuity and S^* bipolar fuzzy supra continuity and see that composition of two S^* bipolar fuzzy supra continuous functions may not be a S^* bipolar fuzzy supra continuous function. Also, we attempt to define the concept of compactness on bipolar fuzzy supra topology.

🔖

Cite This Article

MALKOÇ, H., VAROL, B. P. (2022). Bipolar Fuzzy Supra Topological Spaces. Sakarya University Journal of Science, Cilt: 26 Sayı: 1, 156–168. https://ajindex.com/articles/941728

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. L. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338–353, 1965
  2. L. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning-I,” Inform. Sci., vol. 8, pp. 199–249, 1975
  3. K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy sets and Systems, vol. 20, pp. 87-96, 1986
  4. P.K Maji., R. Biswas and A. R. Roy, “Fuzzy soft sets,” J. Fuzzy Math., vol. 9, no. 3, pp. 589–602, 2001
  5. W-R. Zhang, “Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis,” NAFIPS/IFIS/NASA'94, pp. 305-309, 1994
  6. K. M. Lee, “Comparison of interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolarvalued fuzzy sets,” J. Fuzzy Logic Intelligent Systems, vol. 14, pp. 125-129, 2004
  7. M. S. Anitha, K. L. Muruganantha and K. Arjunan, “Notes on bipolar valued fuzzy subgroups of a group,” The Bulletin of Society for Mathematical Services and Standards, vol. 7, pp. 40-45, 2013
  8. S. P. Subbian and M. Kamaraj, “Bipolar-valued fuzzy ideals of ring and bipolar-valued fuzzy ideal extensions in subrings,” International Journal of Mathematics Trends and Technology, vol. 61, no. 3, pp. 155-163, 2018
  9. B. Pazar Varol, An approach to bipolar fuzzy submodules, TWMS J. App. and Eng. Math., 11 (1), 168-175, 2021
  10. M. Azhagappan and M. Kamaraj, “Notes on bipolar valued fuzzy RW-closaed and bipolar valued fuzzy RW-open sets in bipolar valued fuzzy topological spaces,” International Journal of Mathematical Archive, vol. 7, no. 3, pp. 30-36, 2016
  11. J. Kim, S. K. Samanta, P. K. Lim, J. G. Lee, K. Hur, “Bipolar fuzzy topological spaces,” Annals of Fuzzy Mathematics and Informatics, vol. 17, no. 3, pp. 205-229, 2019
  12. A. S. Mashhour, A. A. Allam, F. S. Mahmoud and F. H. Khedr, “On supratopological spaces,” Indian J. Pure Appl. Math., vol. 14, no 4, pp. 502-510, 1983
  13. M. E. Abd El-Monsef and A. E. Ramadan, “On Fuzzy Supra Topological Spaces,” Indian J. Pure Appl. Math., vol. 18, no. 4, pp. 322-329, 1987
  14. M. E. Abd El-Latif, “Some properties of fuzzy supra soft topological spaces,” Europen Journal of Pure and Applied Mathematics, vol. 12, no. 3, pp. 999-1017, 2019
  15. T. M. Al-Shami and M. E. Shafei, “On supra topological ordered spaces,” Arab Journal of Basic and Applied Science, vol. 26, no. 1, pp. 433-445, 2019
  16. T. M. Al-Shami and M. E. Shafei, “Two types of separation axioms on supra soft topological spaces,” Demonstratio Mathematica, vol. 52, pp. 1