| Title of paper:
|
Generalized intuitionistic fuzzy contra continuity
|
| Author(s):
|
| E. Roja
|
| Department of Mathematics, Sri Saradha College for Women, Salem - 16, Tamil Nadu, India
|
|
|
| M. K. Uma
|
| Department of Mathematics, Sri Saradha College for Women, Salem - 16, Tamil Nadu, India
|
|
|
| R. Dhavaseelan
|
| Department of Mathematics, Sri Saradha College for Women, Salem - 16, Tamil Nadu, India
|
| dhavaseelan.r@gmail.com
|
|
| Published in:
|
"Notes on IFS", Volume 18 (2012) Number 1, pages 5—18
|
| Download:
|
 PDF (198 Kb, File info)
|
| Abstract:
|
In this paper the concept of generalized intuitionistic fuzzy contra continuous function, strongly generalized intuitionistic fuzzy contra continuous function and generalized intuitionistic fuzzy contra irresolute are studied. The concepts of generalized intuitionistic fuzzy S-closed and strongly generalized intuitionistic fuzzy S-closed are studied. The concepts of generalized intuitionistic fuzzy compact spaces and generalized intuitionistic fuzzy almost compact spaces are established. The concepts of generalized intuitionistic fuzzy filter and intuitionistic fuzzy C-convergent are established. Some interesting properties are investigated besides giving several examples.
|
| Keywords:
|
Generalized intuitionistic fuzzy contra continuity, strongly generalized intuitionistic fuzzy contra continuity, generalized intuitionistic fuzzy contra irresolute, generalized intuitionistic fuzzy S-closed, generalized intuitionistic fuzzy compact spaces, generalized intuitionistic fuzzy almost compact spaces, generalized intuitionistic fuzzy filter and intuitionistic fuzzy C-convergent.
|
| AMS Classification:
|
54A40, 03E72
|
| References:
|
- Atanassov, K., lntuitionistic fuzzy sets, in: V. Sgurev, Ed., VII ITKR’s Session, Sofia, June 1983 Central Sci. and Techn. Library, Bulg. Academy of Sciences, 1984.
- Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, 87–96.
- Atanassov, K., Review and new results on intuitionistic fuzzy sets, Preprint IM-MFAIS-1-88, Sofia, 1988.
- Atanassov, K., S. Stoeva, Intuitionistic fuzzy sets, Polish Symp. on Interval & Fuzzy Mathematics, Poznan, August 1983, 23–26.
- Atanassov, K., S. Stoeva, Intuitionistic L-fuzzy sets, R. Trappl, Ed., Cybernetics and System Research, Vol. 2, Elsevier, Amsterdam, 1984, 539–540.
- Balasubramanian, G., P. Sundaram. On Some generalizations of fuzzy continuous functions. Fuzzy Sets and Systems, Vol. 86, 1997, 93–100.
- Chang, C. L., Fuzzy topological spaces, J. Math. Anal. Appl., Vol. 24, 1968, 182–190.
- Coker, D., A. Es Haydar. On fuzzy S-closed spaces, TU. J Math., 1987, 145–152.
- Dhavaseelan, R., E. Roja, M. K. Uma, Generalized intuitionistic Fuzzy Closed Sets, Advances in Fuzzy Mathematics, Vol. 5, 2010, 152–172.
- Ekici, E., E. Kerre. On fuzzy contra continuities, Advances in Fuzzy System, Vol. 1, 2006, 35–44.
- Park, J. H., J. K. Park. Hausdorffness on generalized intuitionistic fuzzy filter, Information Science, Vol. 168, 2004, 95–110.
- Ramadan,A. A., S. E. Abbas, A. A. Abd el-Latif. Compactness in Intuitionistic fuzzy topological spaces, International Journal of Mathematics and Mathematical Science, Vol. 1, 2005, 19–32.
- Santhi, R., D. Jayathi, Intuitionistic Fuzzy Contra generalized semi pre continuous mapping, Advances in Fuzzy Mathematics, Vol. 5, 2010, No. 2, 173–186.
- Smets, P. The degree of belief in a fuzzy event, Information sciences, Vol. 25, 1981, 1–19.
- Sugeno, M. An Introductory survey of fuzzy control, Information sciences, Vol. 36, 1985, 59–83.
- Zadeh, L. A. Fuzzy sets, Inform. and Control, Vol. 8, 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.
|
|
