Issue:A note on intuitionistic fuzzy countable dense homogeneous spaces

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Title of paper: A note on intuitionistic fuzzy countable dense homogeneous spaces Author(s): T. J. Cinderella     0000-0002-8518-1204 Department of Mathematics, Rajagiri School of Engineering and Technology, A. P. J. Abdul Kalam Technological University, Thiruvananthapuram, India cinderellatj03@gmail.com P. B. Vinod Kumar     0000-0002-1981-4114 Department of Basic Science and Humanities, Muthoot Institute of Technology and Science, A. P. J. Abdul Kalam Technological University, Thiruvananthapuram vinodkumarpb.maths@gmail.com Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 4, pages 479–485 DOI: https://doi.org/10.7546/nifs.2025.31.4.479-485 Download:  PDF (200  Kb, File info) Abstract: The countable dense homogeneity (CDH) property which is an important tool in general topology, states that in a CDH space, any two countable dense sets are homeomorphic. In this paper, we have extended the CDH property to intuitionistic fuzzy topological spaces and found it as a proper extension. Keywords: Countable dense homogeneity, Intuitionistic fuzzy homeomorphism, Intuitionistic fuzzy topology. AMS Classification: 03B52, 03E72. References: Al Ghour, S., & Fora, A. (2016). On CDH fuzzy spaces. Journal of Intelligent & Fuzzy Systems, 30(2), 935–941. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag, Heidelberg. Atanassov, K. T. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: International Journal Bioautomation, 2016, 20(S1), S1–S6. Cinderella, T. J., & Vinod Kumar, P. B. (2025). Countable dense homogeneity property of connected compact manifolds. Gulf Journal of Mathematics, 17(2), 208–215. Çoker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88(1), 81–89. Zadeh, L. (1965). Fuzzy sets. Information and Control, 8, 338–353. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.