CATEGORICAL PROPERTY OF INTUITIONISTIC TOPOLOGICAL SPACES Lee, Seok-Jong; Chu, Jae-Myoung;
We obtain some characterizations of continuous, open and closed functions in intuitionistic topological spaces. Moreover we reveal that the category of topological spaces is a bireflective full subcategory of the category of intuitionistic topological spaces.
FUZZY δ-TOPOLOGY AND COMPACTNESS, Communications of the Korean Mathematical Society, 2012, 27, 2, 357
K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96.
K. T. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33 (1989), no. 1, 37-45.
K. T. Atanassov, Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk and H. Prade's paper: Terminological difficulties in fuzzy set theory-the case of 'intuitionistic fuzzy sets', Fuzzy Sets and Systems 156 (2005), no. 3, 496-499
K. T. Atanassov and S. P. Stoeva, Intuitionistic fuzzy sets,in Proceedings of the Polish Symposium on Interval & Fuzzy Mathematics (Poznan, 1983), (Poznan), Wydawn. Politech. Poznan. (1983), 13-16
S. Bayhan and D. Coker, On separation axioms in intuitionistic topological spaces, Int. J. Math. Math. Sci. 27 (2001), no. 10, 621-630
S. Bayhan and D. Coker, Pairwise separation axioms in intuitionistic topological spaces, Hacet. J. Math. Stat. 34S (2005), 101-114
D. C¸ oker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81–89
D. Coker, An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 4 (1996), no. 4, 749-764
D. Coker, An introduction to intuitionistic topological spaces, Bulletin for Studies and Exchanges on Fuzziness and its Applications 81 (2000), 51–56
H. Herrlich and G. E. Strecker, Category Theory: an introduction. Boston, Mass.: Allyn and Bacon Inc., 1973.