JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Intuitionistic Fuzzy Rough Approximation Operators
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Intuitionistic Fuzzy Rough Approximation Operators
Yun, Sang Min; Lee, Seok Jong;
  PDF(new window)
 Abstract
Since upper and lower approximations could be induced from the rough set structures, rough sets are considered as approximations. The concept of fuzzy rough sets was proposed by replacing crisp binary relations with fuzzy relations by Dubois and Prade. In this paper, we introduce and investigate some properties of intuitionistic fuzzy rough approximation operators and intuitionistic fuzzy relations by means of topology.
 Keywords
Intuitionistic fuzzy topology;Intuitionistic fuzzy approximation space;
 Language
English
 Cited by
1.
Intuitionistic Fuzzy Topologies Induced by Intuitionistic Fuzzy Approximation Spaces, International Journal of Fuzzy Systems, 2016  crossref(new windwow)
 References
1.
C. L. Chang, “Fuzzy topological spaces,” J. Math. Anal. Appl., vol. 24, pp. 182–190, 1968. crossref(new window)

2.
D. Coker, “An introduction to intuitionistic fuzzy topological spaces,” Fuzzy Sets and Systems, vol. 88, pp. 81–89, 1997. crossref(new window)

3.
K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, pp. 87–96, 1986. crossref(new window)

4.
D. Coker and M. Demirci, “An introduction to intuitionistic fuzzy topological spaces in Sostak’s sense,” BUSEFAL, vol. 67, pp. 67–76, 1996.

5.
S. J. Lee and E. P. Lee, “The category of intuitionistic fuzzy topological spaces,” Bull. Korean Math. Soc., vol. 37, no. 1, pp. 63–76, 2000.

6.
S. J. Lee and Y. S. Eoum, “Intuitionistic fuzzy 𝜃-closure and 𝜃-interior,” Commun. Korean Math. Soc., vol. 25, no. 2, pp. 273–282, 2010. crossref(new window)

7.
R. K. Thumbakara, “Intuitionistic fuzzy topological spaces and frames,” J. Fuzzy Math., vol. 18, no. 3, pp. 751–756, 2010.

8.
K. K. Azad and S. Mittal, “On Hausdorffness and compactness in intuitionistic fuzzy topological spaces,” Mat. Vesnik, vol. 63, no. 2, pp. 145–155, 2011.

9.
K. Bageerathi, “A generalization of some open sets in intuitionistic fuzzy topological spaces,” Bull. Kerala Math. Assoc., vol. 11, no. 2, pp. 137–147, 2014.

10.
Z. Pawlak, “Rough sets,” Internat. J. Comput. Inform. Sci., vol. 11, no. 5, pp. 341–356, 1982. crossref(new window)

11.
W. Tang, J. Wu, and D. Zheng, “On fuzzy rough sets and their topological structures,” Mathematical Problems in Engineering, vol. 2014, pp. 1–17, 2014.

12.
D. Dubois and H. Prade, “Rogh fuzzy sets and fuzzy rough sets,” Int. J. Gen. Syst., vol. 17, pp. 191–209, 1990. crossref(new window)

13.
H. Lai and D. Zhang, “Fuzzy preorder and fuzzy topology,” Fuzzy Sets and Systems, vol. 157, no. 14, pp. 1865–1885, 2006. crossref(new window)

14.
Z. M. Ma and B. Q. Hu, “Topological and lattice structures of l-fuzzy rough sets determined by lower and upper sets,” Inform. Sci., vol. 218, pp. 194–204, 2013. crossref(new window)

15.
Y. C. Kim, “Join-meet approximation operators induced by Alexandrov fuzzy topologies,” The Korean Journal of Mathematics, vol. 22, no. 3, pp. 553–565, 2014. crossref(new window)

16.
E. Szmidt and J. Kacprzyk, “Distances between intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 114, no. 3, pp. 505–518, 2000. crossref(new window)

17.
L. Zhou and W.-Z. Wu, “On intuitionistic fuzzy topologies based on intuitionistic fuzzy reflexive and transitive relations,” Soft Computing, no. 15, pp. 1183–1194, 2011.

18.
R. Lowen, “Fuzzy topological spaces and fuzzy compactness,” J. Math. Anal. Appl., vol. 56, pp. 621–633, 1976. crossref(new window)

19.
P. T. Johnstone, Stone Spaces. Cambridge: Cambridge University Press, 1982.

20.
H. Bustince and P. Burillo, “Structures on intuitionistic fuzzy relations,” Fuzzy Sets and Systems, vol. 78, no. 3, pp. 293–303, 1996. crossref(new window)

21.
L. Zhou, W.-Z. Wu, and W.-X. Zhang, “On intuitionistic fuzzy rough sets and their topological structures,” Int. J. Gen. Syst., vol. 38, no. 6, pp. 589–616, 2009. crossref(new window)

22.
S. J. Lee and S. M. Yun, “Intuitionistic fuzzy topology and intuitionistic fuzzy preorder,” International Journal of Fuzzy Logic and Intelligent Systems, vol. 15, no. 1, pp. 79–86, 2015. crossref(new window)