Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at nifs.journal@gmail.com

Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.

Issue:Alpha generalized homeomorphism in intuitionistic fuzzy topological spaces

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/17/1/30-36
Title of paper: Alpha generalized homeomorphism in intuitionistic fuzzy topological spaces
Author(s):
R. Santhi
Department of Mathematics, NGM College, Pollachi, Tamilnadu, India
santhir2004@yahoo.co.in
K. Sakthivel
Department of Mathematics, SVS College of Engineering, Coimbatore, Tamilnadu, India
sakthivel.aug15@gmail.com
Published in: "Notes on IFS", Volume 17 (2010) Number 1, pages 30—36
Download:  PDF (186  Kb, Info)
Abstract: This paper introduces intuitionistic fuzzy alpha generalized homeomorphism and intuitionistic fuzzy M - alpha generalized homeomorphism in intuitionistic fuzzy topological spaces. Also they are related to the fundamental concepts of intuitionistic continuous mappings and intuitionistic fuzzy open mappings.
Keywords: Intuitionistic fuzzy topology, intuitionistic fuzzy alpha generalized closed set, intuitionistic fuzzy alpha generalized continuous mapping, intuitionistic fuzzy alpha generalized homeomorphism, intuitionistic fuzzy M-alpha generalized homeomorphism
References:
  1. Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986),87-96.
  2. Chang, C., Fuzzy topological spaces, J. Math. Anal. Appl., 24, 1968, 182-190.
  3. Coker, D., An introduction to fuzzy topological space, Fuzzy Sets and Systems, 88, 1997, 81-89.
  4. El-Shafhi, M.E., and Zhakari, A., Semi generalized continuous mappings in fuzzy topological spaces, J. Egypt. Math. Soc. 15 (1) (2007), 57-67.
  5. Gurcay, H., Coker. D., and Haydar, A., On fuzzy continuity in intuitionistic fuzzy topological spaces, jour. of fuzzy math., 5 (1997), 365-378.
  6. Hanafy, I.M., Intuitionistic fuzzy continuity, Canad. Math Bull. XX(2009),1-11.
  7. Joung Kon Jeon, Young Bae Jun, and Jin Han Park, Intuitionistic fuzzy alpha continuity and intuitionistic fuzzy pre continuity, International Journal of Mathematics and Mathematical Sciences, 19 (2005), 3091-3101.
  8. Neelamegarajan Rajesh et al On semi homeomorphism in topological spaces. Annals of University of cralova math.comp.sci. ser. 33(2006), 208-215.
  9. Sakthivel. K., Intuitionistic fuzzy alpha generalized continuous mappings and Intuitionistic fuzzy alpha irresolute mappings, App. Math. Sci., 4(2010), 1831-1842
  10. Santhi, R., and Sakthivel. K., Intuitionistic fuzzy almost alpha generalized continuous mappings Advances in Fuzzy Mathematics, 2(2010), 209-219.
  11. Thakur, S.S., and Rekha Chaturvedi, Regular generalized closed sets in intuitionistic fuzzy topological spaces, Universitatea Din Bacau, Studii Si Cercetari Stiintifice, Seria: Matematica, 16 (2006), 257-272.
  12. Zadeh, L. A., Fuzzy sets, Information and 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.