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Submitted
October 4, 2021
Accepted
February 16, 2023
Published
March 30, 2023
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Abstract

The aim of this paper is to introduce and study the concepts of intuitionistic r-fuzzy regular open sets and their related notions in topological spaces.

Keywords

Smooth fuzzy topological spaces intuitionistic r-fuzzy regular open set intuitionistic r-fuzzy regular closed set.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite
Menagadevi, T., Maragatha Meenakshi, P., & Rajesh, N. (2023). Regular Open Sets on The Intuitionistic Fuzzy Topological Spaces in Sostak’s Sense. Journal of the Indonesian Mathematical Society, 29(1), 75–92. https://doi.org/10.22342/jims.29.1.1062.75-92
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References

  1. S. E. Abbas and M. Azab Abd-allah, Some properties of Intuitionistic R-fuzzy semi-open sets, J. Fuzzy Math., 13 (2) (2005), 407-422.
  2. B. Ahmad and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, 2009, Article ID 586507, 6 pages, 2009.
  3. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96.
  4. M. Atef, M. I. Ali, and T. M.Al-shami, Fuzzy soft covering based multi-granulation fuzzy rough sets and their applications, Computational and Applied Mathematics, 40(4), (2021), 115.
  5. N. Caˇgman, S. Enginoˇglu, and F. Citak, Fuzzy soft set theory and its application, Iranian Journal of Fuzzy Systems, 8(3), (2011), 137-147.
  6. D. Coker, An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces, J. Fuzzy Math., 4(2), (1996), 749-764.
  7. D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88 (1997), 81-89.
  8. D. Coker and M. Demirci, On intuitionistic fuzzy points, Notes on intuitionistic fuzzy sets, 1, (1995), 79-84.
  9. H. Garg and S. Singh, A novel triangular interval type-2 intuitionistic set and their aggregation operators, Iranian Journal of Fuzzy Systems, 15 (2018), 69-93.
  10. H. Garg and K. Kumar, An advanced study on the similarity measures of intuitionistic sets based on the set pair analysis theory and their application in decision making, Soft Computing, 22(15), (2018), 4959-4970.
  11. H. Garg and K. Kumar, Distance measures for connection number sets based on set pair analysis and its applications to decision-making process, Applied Intelligence, 48(10), (2018), 3346-3359.
  12. J. Gupta1 and M. Shrivastava, Semi Pre Open Sets and Semi Pre Continuity in Sostak Intuitionistic Fuzzy Topological Space, International Journal of Advanced Research in Science Engineering, 6 (11), 2017, 602-610.
  13. I. M. Hanafy, On fuzzy γ-open sets and fuzzy γ-continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math., 10 (1), (2002), 9-19.
  14. S. K. Samanta, T. K. Mondal, Intuitionistic gradation of openness: intuitionistic fuzzy topology, Busefal, 73, (1997), 8-17.
  15. S. K. Samanta and T. K. Mondal, On intuitionistic gradation of openness, Fuzzy Sets and Systems, 131, (2002), 323-336.
  16. P. K. Lim, S. R. Kim and K. Hur, Intuitionistic smooth topological spaces, Journal of Korean Institute of Intelligent Systems, 20 (6), (2010), 875-883. https://doi.org/10.5391/JKIIS.2010.20.6.875
  17. L.A. Zadeh, Fuzzy sets, Information and Control, 8, (1965), 338-353