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