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*Corresponding author E-mail: sahadat@ru.ac.bd
AMS Mathematics Subject Classification (2010): 54A40, 03E72, 03F55
The purpose of this paper is to introduce and study the compactness in intuitionistic fuzzy topological spaces. Here we define two new notions of intuitionistic fuzzy compactness in intuitionistic fuzzy topological space and find their relation. Also we find the relationship between intuitionistic general compactness and intuitionistic fuzzy compactness. Here we see that our notions satisfy hereditary and productive property. Finally we observe that our notions preserve under one-one, onto and continuous mapping.
Fuzzy set, intuitionistic fuzzy set, intuitionistic fuzzy topological space, intuitionistic fuzzy compactness