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Issue:On а study on intuitionistic fuzzy r-normal spaces

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Title of paper: On а study on intuitionistic fuzzy r-normal spaces
Author(s):
M. S. Islam
Department of Computer Science and Engineering, Jatiya Kabi Kazi Nazrul Islam University, Trishal, Mymensingh, Bangladesh
saifulmath@yahoo.com
R. Islam
Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh
rafiqul.pust.12@gmail.com
M. S. Hossain
Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh
sahadat@ru.ac.bd
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3, pages 69–82
DOI: https://doi.org/10.7546/nifs.2021.27.3.69-82
Download:  PDF (438  Kb, File info)
Abstract: The purpose of this paper is to give some new inferences of intuitionistic fuzzy normal spaces based on the concept of the most studied topics as fuzzy topological spaces. After that, the authors embed an implication among these notions and show that all these conceptions are good extensions of normal spaces. Moreover, the image and the pre-image of intuitionistic fuzzy normal space are also intuitionistic fuzzy normal space.
Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy topology, Intuitionistic fuzzy normal topology.
AMS Classification: 03E72, 54A40, 94D05.
References:
  1. Abdulgawad Al-Qubati, A. Q. (2018). On Intuitionistic Fuzzy β and β*-Normal Spaces. International Journal of Mathematical Analysis, 12(11), 517–531.
  2. Abdulgawad Al-Qubati, A. Q., & Qahtani, H. Al. (2015). On b-Separation Axioms in intuitionistic Fuzzy Topological Spaces. International Journal of Mathematics Trends and Technology, 21(2), 83–93.
  3. Amin, M. R., & Hossain, M. S. (2018). Pairwise connectedness in fuzzy bi-topological spaces in quasi-coincidence sense. Italian Journal of Pure and Applied Mathematics, 40, 294–300.
  4. 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: Int. J. Bioautomation, 2016, 20(S1), S1–S6. Available online: http://biomed.bas.bg/bioautomation/2016/vol_20.s1/files/20.s1_02.pdf.
  5. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
  6. Atanassov, K. T. (1988). Review and New Results on Intuitionistic Fuzzy Sets, Mathematical Foundations of Artificial Intelligence Seminar, Sofia, 1988, Preprint IM-MFAIS1-88. Reprinted: Int. J. Bioautomation, 2016, 20(S1), S7–S16. Available online: http://biomed.bas.bg/bioautomation/2016/vol_20.s1/files/20.s1_03.pdf.
  7. Atanassov, K. T., & Stoeva, S. (1983). Intuitionistic fuzzy sets, in: Polish Symp. on Interval & Fuzzy Mathematics, Poznan, 23–26.
  8. Bayhan, S., & Çoker, D. (2005). Pairwise Separation axioms in intuitionistic topological Spaces. Hacettepe Journal of Mathematics and Statistics, 34, 101–114.
  9. Chang, C. L. (1968). Fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 24, 182–192.
  10. Çoker, D. (1996). A note on intuitionistic sets and intuitionistic points. Turkish Journal of Mathematics, 20(3), 343–351.
  11. Çoker, D. (1997). An introduction to intuitionistic fuzzy topological space. Fuzzy Sets and Systems, 88, 81–89.
  12. Çoker, D., & Bayhan, S. (2001). On Separation Axioms in Intuitionistic Topological Space. International Journal of Mathematics and Mathematical Sciences, 27(10), 621–630.
  13. Ejegwa, P. A., & Onasanya, B. O. (2018). Improved intuitionistic fuzzy composite relation and its application to medical diagnostic process, Notes on Intuitionistic Fuzzy Sets, 25(1), 43–58.
  14. Hutton, B. (1975). Normality in Fuzzy Topological Spaces. Journal of Mathematical Analysis and Applications, 50(1), 74–79.
  15. Islam, R., Hossain, M. S., & Amin, R. (2018). Some Properties of Intuitionistic L–T0 Spaces. Journal of Fuzzy Set Valued Analysis, 2018(2), 77–85.
  16. Islam, R., Hossain, M. S., & Hoque, M. F. (2020). A Study on Intuitionistic L-fuzzy T1 Spaces. Notes on Intuitionistic Fuzzy Sets, 26(3), 33–42.
  17. Islam, R., Hossain M. S., & Amin, M. R. (2017). Some Remarks on Intuitionistic L-T2 Spaces. Annals of Pure and Applied Mathematics, 13(2), 249–255.
  18. Jeswin, B. George & Shiny Jose. (2019). Medical diagnosis in intuitionistic fuzzy context. Notes on Intuitionistic Fuzzy Sets, 25(1), 59–63.
  19. Lipschutz, S. (1965). Theory and Problems of General Topology, McGraw-HILL Book company.
  20. Mahbub, M. A., Hossain, M. S., & Hossain, M. A. (2021). Connectedness concept in intuitionistic fuzzy topological spaces. Notes on Intuitionistic Fuzzy Sets, 27 (1),72–82.
  21. Mahbub, M. A., Hossain, M. S., & Hossain, M. A. (2019). Separation axioms in Intuitionistic Fuzzy Compact topological spaces. Journal of fuzzy set Valued Analysis, 2019(1), 14–23.
  22. Islam, M. S., Hossain, M. S., & Asaduzzaman, M. (2017). Level separation on Intuitionistic fuzzy T0 spaces. International Journal of Fuzzy Mathematical Archive, 13(2), 123–133.
  23. Islam, M. S., Hossain, M. S., & Asaduzzaman, M. (2018). Level separation on Intuitionistic fuzzy T2 spaces. Journal of Mathematics and Computer Science, 8(3), 353–372.
  24. Prova, T. T., & Hossain, M. S. (2020). Intuitionistic fuzzy based regular and normal spaces. Notes on Intuitionistic Fuzzy Sets, 26(4), 53–63.
  25. Ying-Ming, L., & Mao-Kang, L. (1997). Fuzzy Topology. World Scientific Publishing Co. Pte. Ltd.
  26. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.
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