Abstract
In this paper, we introduce the concepts of $([r,s], [t,u])$-interval-valued intuitionistic fuzzy generalized preclosed sets and $([r,s], [t,u])$-interval-valued intuitionistic fuzzy generalized preopen sets in the interval-valued intuitionistic smooth topological space and $([r,s], [t,u])$-interval-valued intuitionistic fuzzy generalized precontinuous mappings and then investigate some of their properties.
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