Abstract
We introduce the concept of intuitionistic fuzzy bitopological spaces as a generalization of fuzzy bitopological spaces. Next, we introduce different types of open sets in intuitionistic fuzzy bitopological spaces, and investigate some of their basic properties. Using these concepts, the characterizations for the intuitionistic fuzzy pairwise semicontinuous and precontinuous mappings are obtained. The relationships between intuitionistic fuzzy pairwise semicontinuous and precontinuous mappings are discussed. Finally, we prove that the category of all fuzzy bitopological spaces and pairwise continuous mappings is a bireflective full subcategory of the category of all intuitionistic fuzzy bitopological spaces and intuitionistic fuzzy pairwise continuous mappings.
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