Previous |  Up |  Next

Article

Keywords:
intuitionistic fuzzy set; intuitionistic fuzzy topological space; fuzzy completely continuous function; fuzzy near compactness; fuzzy product space
Summary:
In this paper, after giving the basic results related to the product of functions and the graph of functions in intuitionistic fuzzy topological spaces, we introduce and study the concept of fuzzy completely continuous functions between intuitionistic fuzzy topological spaces.
References:
[1] K. Atanassov: Intuitionistic fuzzy sets. VII. ITKR’s Session, Sofia, 1983. (Bulgarian)
[2] K. Atanassov: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20 (1986), 87–96. MR 0852871 | Zbl 0631.03040
[3] K. K. Azad: On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity. J.  Math. Anal. Appl. 82 (1981), 14–32. DOI 10.1016/0022-247X(81)90222-5 | MR 0626738 | Zbl 0511.54006
[4] D. Coker and A. H. Es: On fuzzy compactness in intuitionistic fuzzy topological spaces. J.  Fuzzy Math. 3 (1995), 899–909. MR 1367023
[5] D. Coker: An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems 88 (1997), 81–89. DOI 10.1016/S0165-0114(96)00076-0 | MR 1449497 | Zbl 0923.54004
[6] H. Gurcay, D. Coker and A. H. Es: On fuzzy continuity in intuitionistic fuzzy topological spaces. J.  Fuzzy Math. 5 (1997), 365–378. MR 1457154
[7] M. N. Mukherjee and B. Ghosh: Some stronger forms of fuzzy continuous mappings on fuzzy topological spaces. Fuzzy Sets and Systems 38 (1990), 375–387. MR 1083069
Partner of
EuDML logo