As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: March 2025.

Issue:Intuitionistic fuzzy rw-closed sets and intuitionistic fuzzy rw-continuity

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/17/2/82-96
Title of paper: Intuitionistic fuzzy rw-closed sets and intuitionistic fuzzy rw-continuity
Author(s):
S. S. Thakur
Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur (M.P.) 482011, India
samajh_singh@rediffmail.com
Jyoti Pandey Bajpai
Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur (M.P.) 482011, India
yk1305@gmail.com
Presented at: 15th ICIFS, Burgas, 11-12 May 2011
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 17 (2011) Number 2, pages 82—96
Download:  PDF (109  Kb, File info)
Abstract: The aim of this paper is to introduce the new class of intuitionistic fuzzy closed sets called intuitionistic fuzzy rw-closed sets in ituitionistic fuzzy topological space. The class of all intuitionistic fuzzy rw-closed sets lies between the class of all intuitionistic fuzzy w-closed sets and class of all intuitionistic fuzzy rg-closed sets. We also introduce the concepts of

intuitionistic fuzzy rw- open sets, intuitionistic fuzzy rw-continuity and intuitionistic fuzzy rw-open and intuitionistic fuzzy rw-closed mappings in intuitionistic fuzzy topological spaces.

Keywords: Intuitionistic fuzzy rw-closed sets, Intuitionistic fuzzy rw-open sets, Intuitionistic fuzzy rw-connectedness, Intuitionistic fuzzy rw-compactness, intuitionistic fuzzy rw-continuous mappings, Intuitionistic fuzzy rw-open mappings and intuitionistic fuzzy rw-closed mappings.
AMS Classification: 03E72
References:
  1. Atanassov, K., S. Stoeva. Intuitionistic Fuzzy Sets, In Polish Symposium on Interval and Fuzzy Mathematics, Poznan, 1983, 23–26.
  2. Atanassov, K. Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20, 1985, 87–96.
  3. Bayhan, S. On Separation Axioms in Intuitionistic Topological Spaces. Intern. Jour. Math. Math. Sci. 27, No.10, 2001, 621–630.
  4. Benchalli, S. S., R. S. Wali. On RW-closed sets in Topological spaces, Bull. Malays. Math. Sci. Vol. 2, 2007, 99–110.
  5. Chang, C. L. Fuzzy Topological Spaces, J. Math. Anal. Appl. Vol. 24, 1968, 182–190.
  6. Çoker, D. An Introduction to Intuitionistic Fuzzy Topological Spaces, Fuzzy Sets and Systems, Vol. 88, 1997, 81–89.
  7. Çoker D., M. Demirci. On Intuitionistic Fuzzy Points. Notes on Intuitionistic Fuzzy Sets, Vol. 1, 1995, No. 2, 79–84.
  8. Çoker, D. A. Es. Haydar. On Fuzzy Compactness in Intuitionistic Fuzzy Topological Spaces. The Journal of Fuzzy Mathematics, Vol. 3-4, 1995, 899–909.
  9. Gurcay, H., D. Çoker, A. Es. Haydar. On Fuzzy Continuity in Intuitionistic Fuzzy Topological Spaces. The Journal of Fuzzy Mathematics, Vol. 5, 1997, No. 2, 365–378.
  10. Hdeib, H. Z. W-closed mappings, Revista Colombina de Mathematics, Vol. 16, 1982, No. 1, 65–78.
  11. Hdeib, H. Z. W-continuous functions, Dirasat Journal, Vol. 16, 1989, No. 2, 136–153.
  12. Levine, N. Generalized Closed Sets In Topology, Rend. Cerc. Mat. Palermo, Vol. 19, 1970, No. 2, 571–599.
  13. Sakthivel, K. Intuitionistic fuzzy Alpha generalized continuous mappings and Intuitionistic fuzzy Alpha generalized irresolute mappings, Applied Mathematical Sciences, Vol. 4, 2010, No. 37,1831–1842.
  14. Sundaram, P., J. M. Sheik. On w-closed set in topology, Acta Ciencia Indica, Vol. 4, 2000, 389–392.
  15. Thakur, S. S., R. Malviya. Generalized Closed Sets in Fuzzy Topology, Math. Notae 38, 1995, 137–140.
  16. Thakur S. S., R. Chaturvedi. Generalized closed set in intuitionistic fuzzy topology. The Journal of Fuzzy Mathematics, Vol. 16, 2008, No. 3, 559–572.
  17. Thakur, S. S., R. Chaturvedi. Generalized continuity in intuitionistic fuzzy topological spaces. Notes on Intutionistic Fuzzy Sets. Vol. 12, 2006, No. 1, 38–44.
  18. Thakur, S. S., R. Chaturvedi. Regular generalized closed sets in intuitionistic fuzzy topology, Studii Si Cercetari Stiintifice Seria Mathematica, Vol.16, 2010, 257–272.
  19. Thakur, S. S., R. Chaturvedi. Intutionistic fuzzy rg-continuous mappings, Journal of Indian Academy of Mathematics, Vol. 29, 2007, No. 2, 467–473.
  20. Thakur, S. S., Bajpai Pandey Jyoti. Intuitionistic Fuzzy w-closed sets and intuitionistic fuzzy w-continuity, International Journal of Contemporary Advanced Mathematics, Vol. 1, 2010, No. 1, 1–15.
  21. Thakur, S. S., Bajpai Pandey Jyoti. On Intuitionistic fuzzy generalized pre regular sets in Intuitionistic fuzzy topological spaces. (submitted).
  22. Thakur, S. S., M. Thakur. Regular semi open sets in Intuitionistic fuzzy topology. Vikram Mathematical Journal, Vol. 28, 2008 (in press).
  23. Thakur, S. S., M. Thakur. Intuitionistic Fuzzy almost irresolute mappings. The Journal of Indian Academy Of Mathematics, Vol. 33, 2011, No. 1 (accepted).
  24. Turnali, N., D. Çoker. Fuzzy Connectedness in Intuitionistic Fuzzy topological Spaces. Fuzzy Sets and Systems, Vol. 116, 2000, No. 3, 369–375.
  25. Vadivel, A., K. Vairamanickam. Quasi rw-open and Quasi rw-closed function, Int. J. of Math. Analysis, Vol. 4, 2010, No. 9, 445–452.
  26. Yalvac T. H. Semi interior and semi closure of fuzzy sets. J. Math. Anal Appl. Vol. 133, 1988, 356–364.
  27. Young Bae Jun., Jong Kang, Seok Zun Song. Intuitionistic Fuzzy irresolute and continuous mapping. Far East J. Math. Sci., Vol. 17, 2005, 201–216.
  28. Zadeh, L. A. Fuzzy Sets, Information and Control, Vol. 18, 1965, 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.

Retrieved from "https://ifigenia.org/index.php?title=Issue:Intuitionistic_fuzzy_rw-closed_sets_and_intuitionistic_fuzzy_rw-continuity&oldid=13132"