INTUITIONISTIC FUZZY θ-CLOSURE AND θ-INTERIOR

Title & Authors
INTUITIONISTIC FUZZY θ-CLOSURE AND θ-INTERIOR
Lee, Seok-Jong; Eoum, Youn-Suk;

Abstract
The concept of intuitionistic fuzzy $\small{\theta}$-interior operator is introduced and discussed in intuitionistic fuzzy topological spaces. As applications of this concept, intuitionistic fuzzy strongly $\small{\theta}$-continuous, intuitionistic fuzzy $\small{\theta}$-continuous, and intuitionistic fuzzy weakly continuous functions are characterized in terms of intuitionistic fuzzy $\small{\theta}$-interior operator.
Keywords
intuitionistic fuzzy $\small{\theta}$-interior;intuitionistic fuzzy strongly $\small{\theta}$-continuous;intuitionistic fuzzy $\small{\theta}$-continuous;intuitionistic fuzzy weakly continuous;
Language
English
Cited by
1.
FUZZY δ-TOPOLOGY AND COMPACTNESS,;;

대한수학회논문집, 2012. vol.27. 2, pp.357-368
2.
Intuitionistic Fuzzy Theta-Compact Spaces,;;

International Journal of Fuzzy Logic and Intelligent Systems, 2013. vol.13. 3, pp.224-230
3.
Intuitionistic Fuzzy δ-continuous Functions,;;

International Journal of Fuzzy Logic and Intelligent Systems, 2013. vol.13. 4, pp.336-344
4.
Intuitionistic Fuzzy Rough Approximation Operators,;;

International Journal of Fuzzy Logic and Intelligent Systems, 2015. vol.15. 3, pp.208-215
1.
FUZZY δ-TOPOLOGY AND COMPACTNESS, Communications of the Korean Mathematical Society, 2012, 27, 2, 357
2.
Intuitionistic Fuzzy Theta-Compact Spaces, International Journal of Fuzzy Logic and Intelligent Systems, 2013, 13, 3, 224
3.
Intuitionistic Fuzzy Topologies Induced by Intuitionistic Fuzzy Approximation Spaces, International Journal of Fuzzy Systems, 2017, 19, 2, 285
4.
Intuitionistic Fuzzy δ-continuous Functions, International Journal of Fuzzy Logic and Intelligent Systems, 2013, 13, 4, 336
5.
Intuitionistic Fuzzy Rough Approximation Operators, The International Journal of Fuzzy Logic and Intelligent Systems, 2015, 15, 3, 208
References
1.
K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), no. 1, 87-96.

2.
D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), no. 1, 81-89.

3.
D. Coker, An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 4 (1996), no. 4, 749-764.

4.
D. Coker and M. Demirci, On intuitionistic fuzzy points, Notes IFS 1 (1995), no. 2, 79-84.

5.
I. M. Hanafy, Intuitionistic fuzzy functions, International Journal of Fuzzy Logic and Intelligent Systems 3 (2003), no. 2, 200-205.

6.
I. M. Hanafy, A. M. Abd El-Aziz, and T. M. Salman, Intuitionistic fuzzy $\theta$ -closure operator, Bol. Asoc. Mat. Venez. 13 (2006), no. 1, 27-39.

7.
S. J. Lee and E. P. Lee, Fuzzy r-preopen sets and fuzzy r-precontinuous maps, Bull. Korean Math. Soc. 36 (1999), no. 1, 91-108.

8.
M. N. Mukherjee and S. P. Sinha, On some near-fuzzy continuous functions between fuzzy topological spaces, Fuzzy Sets and Systems 34 (1990), no. 2, 245-254.

9.
M. N. Mukherjee and S. P. Sinha, Fuzzy $\Theta$-closure operator on fuzzy topological spaces, Internat. J. Math. Math. Sci. 14 (1991), no. 2, 309-314.