| Title of paper:
|
Weak and strong forms of intuitionistic fuzzy sg-irresolute mappings
|
| Author(s):
|
| R. Santhi
|
| Department of Mathematics, Nallamuthu Gounder Mahalingam College, Pollachi - 642 001, Tamil Nadu, India
|
| santhifuzzy@yahoo.co.in
|
| K. Arun Prakash
|
| Department of Mathematics, Kongu Engineering College, Perundurai - 638 052, Tamil Nadu, India
|
|
|
|
| Published in:
|
"Notes on IFS", Volume 16 (2010) Number 1, pages 27—39
|
| Download:
|
 PDF (194 Kb, File info)
|
| Abstract:
|
In this paper we consider new weak and strong forms of intuitionistic fuzzy irresolute and intuitionistic fuzzy semi-closed maps via the concept of intuitionistic fuzzy sg-closed sets, which we call intuitionistic fuzzy ap-irresolute maps, intuitionistic fuzzy ap-semi closed maps, intuitionistic fuzzy contra-irresolute maps and intuitionistic fuzzy contra sg-irresolute maps and use them to obtain a characterization of intuitionistic fuzzy semi-T1/2 spaces.
|
| Keywords:
|
Intuitionistic fuzzy topology, Intuitionistic fuzzy semi-generalized closed set, Intuitionistic fuzzy semi-open sets, Intuitionistic fuzzy SG-continuous, Intuitionistic fuzzy contra SG-continuous intuitionistic fuzzy irresolute and intuitionistic fuzzy sg-irresolute maps.
|
| References:
|
- K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87- 96.
- M. Caldas, Weak and strong forms of Irresolute maps, International Journal of Mathematics and Mathematical Sciences, Vol.23, No.4 (2000) 253-259.
- M.Caldas and S.Jafari, Weak and Strong Forms of β-Irresoluteness, The Arabian Journal for Science and Engineering, Volume 31, Number1A (2006), 31-39.
- C.L.Chang, Fuzzy topological spaces, J.Math.Anal.Appl. 24 (1986), 182-190.
- D.Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems, 88 (1997), 81-89.
- E.El-Shafei and A.Zakai, Semi-generalized continuous mappings in fuzzy topological spaces, J.Egypt.Math.Soc. Vol.15 (1) (2007), pp.57-67.
- H.Gurcay, D.Coker, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy. Math, 5 (1997), 365-378.
- I.M.Hanafy, Completely continuous functions in Intuitionistic fuzzy topological spaces, Czechoslovak Mathematical journal , 53(128)(2003), 793-803.
- S.J.Lee and S.J.Lee, The category of intuitionistic fuzzy topological spaces, Bull. Korean. Math. Soc. 37 (2000). no.1, 63-71.
- R.Santhi and K.Arun Prakash, Intuitionistic fuzzy semi-generalized closed sets (Submitted to Korean Mathematical Society).
- R.Santhi and K.Arun Prakash, Intuitionistic fuzzy semi-generalized Irresolute Mappings (Submitted to Iranian Journal of Fuzzy Systems).
- R.Santhi and K.Arun Prakash, Intuitionistic fuzzy Contra Semi-generalized closed sets (Under Preparation).
- R.K.Saraf, Seema Mishra and M.Caldas, Weak and strong forms of Irresolute Fuzzy maps, Proc.Pakistan Acad.Sci, 45(2), (2008), 75-80.
- Young Bae Jun, Jung ok Kang and Seok Zun Kang, Intuitionistic fuzzy irresolute and continuous mappings, Far East J.Math.Sci[FJMS] 17(2) (2005), 201-216.
- Zhen-Guo Xu and Fu-Gui Shi, Some weakly mappings on intuitionistic fuzzy topological spaces, Tamkang Journal of Mathematics, Volume 39, Spring 2008, 25-35.
- L. A. Zadeh, Fuzzy sets, Information Control, 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.
|
|
