CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Regular Weakly Generalized Closed Sets in Intuitionistic Fuzzy Topological Spaces

by P. Rajarajeswari, L. Senthil Kumar
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 43 - Number 18
Year of Publication: 2012
Authors: P. Rajarajeswari, L. Senthil Kumar
10.5120/6202-8743

P. Rajarajeswari, L. Senthil Kumar . Regular Weakly Generalized Closed Sets in Intuitionistic Fuzzy Topological Spaces. International Journal of Computer Applications. 43, 18 ( April 2012), 13-17. DOI=10.5120/6202-8743

@article{ 10.5120/6202-8743,
author = { P. Rajarajeswari, L. Senthil Kumar },
title = { Regular Weakly Generalized Closed Sets in Intuitionistic Fuzzy Topological Spaces },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 43 },
number = { 18 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 13-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume43/number18/6202-8743/ },
doi = { 10.5120/6202-8743 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:33:43.729116+05:30
%A P. Rajarajeswari
%A L. Senthil Kumar
%T Regular Weakly Generalized Closed Sets in Intuitionistic Fuzzy Topological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 43
%N 18
%P 13-17
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper is devoted to the study of intuitionistic fuzzy topological spaces. In this paper an intuitionistic fuzzy regular weakly generalized closed set and intuitionistic fuzzy regular weakly generalized open set are introduced. Some of its properties are studied. Also we have provided some applications of intuitionistic fuzzy weakly generalized closed set namely intuitionistic fuzzy rwT1/2 space and intuitionistic fuzzy rwgT1/2 space.

References
  1. K. T. Atanassov,Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96.
  2. P. Bhattacharyya and B. K. Lahiri, Semi generalized closed sets in topology, Indian J. Math, 29(1987), 375-382.
  3. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl, 24(1968), 182-190.
  4. D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems, 88(1997), 81-89.
  5. H. Gurcay, A. Haydar and D. Coker, On fuzzy continuity in intuitionistic fuzzy topological spaces, jour. of fuzzy math, 5(1997), 365-378.
  6. I. M. Hanafy,Intuitionistic fuzzy ? continuity, Canad. Math Bull. XX (2009), 1-11.
  7. C. Mukundhan and N. Nagaveni, A Weaker form of a Generalized closed set, Int. J. Contemp. Math. Sciences, 20(2011), 949-961.
  8. N. Nagaveni, Studies on generalized on homeomorphisms in topological spaces, Ph. D Thesis, Bharathiar University, Coimbatore 1999.
  9. Sakthivel, K. , 2010, "Intuitionistic Fuzzy Alpha Generalized Continuous Mappings and Intuitionistic Alpha Generalized Irresolute Mappings," Applied Mathematical Sciences. , Vol. 4, no. 37. , pp. 1831 – 1842.
  10. Santhi, R. and Sakthivel, K. , Intuitionistic fuzzy generalized semicontinuous mappings, Advances in Theoretical and Applied Mathematics, 5 (2009), 73-82.
  11. T. Shyla Isac Mary and P. Thangavelu, On Regular Pre-Semiclosed Sets in Topological Spaces, KBM Journal of Mathematical Sciences & Computer Applications 1(2010), 9- 17.
  12. S. S. Thakur and Rekha Chaturvedi, R. G-closed sets in intuitionistic fuzzy topological spaces ,Universitatea Din Bacau Studii Si Cercertar Stiintifice, 6(2006), 257-272.
  13. Young Bae Jun and Seok-Zun Song, Intuitionistic fuzzy semi-pre open sets and Intuitionistic semi-pre continuous mappings, Jour. of Appl. Math and Computing, 19(2005), 464-474.
  14. L. A. Zadeh, Fuzzy sets, Information control, 8 (1965) 338-353.
Index Terms

Computer Science
Information Sciences

Keywords

Intuitionistic Fuzzy Topology Intuitionistic Fuzzy Regular Weakly Generalized Closed Set Intuitionistic Fuzzy Regular Weakly Generalized Open Set Intuitionistic Fuzzy Rwt1/2 Space And Intuitionistic Fuzzy Rwgt1/2 Space

Powered by PhDFocusTM