In this paper, we introduce certain types of continuous functions and intuitionistic fuzzy ${ heta}$-compactness in intuitionistic fuzzy topological spaces. We show that intuitionistic fuzzy ${ heta}$-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 ${ heta}$-compactness in the original intuitionistic fuzzy topology. This characterization shows that intuitionistic fuzzy ${ heta}$-compactness can be related to an appropriated notion of intuitionistic fuzzy convergence.