Abstract
In this paper, we introduce certain types of continuous functions and intuitionistic fuzzy <TEX>${\theta}$</TEX>-compactness in intuitionistic fuzzy topological spaces. We show that intuitionistic fuzzy <TEX>${\theta}$</TEX>-compactness is strictly weaker than intuitionistic fuzzy compactness. Furthermore, we show that if a topological space is intuitionistic fuzzy retopologized, then intuitionistic fuzzy compactness in the new intuitionistic fuzzy topology is equivalent to intuitionistic fuzzy <TEX>${\theta}$</TEX>-compactness in the original intuitionistic fuzzy topology. This characterization shows that intuitionistic fuzzy <TEX>${\theta}$</TEX>-compactness can be related to an appropriated notion of intuitionistic fuzzy convergence.
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