This paper deals with different types of generalized versions of fuzzy continuity, introducing the concept of \(fg{\alpha}^{\theta}\) - continuity, based on \(fg{\alpha}^{\theta}\) - closed sets and  \(fg{\alpha}^{\theta}\) - open sets. Also, using \(fg{\alpha}^{\theta}\) - closed sets and  \(fg{\alpha}^{\theta}\) - open sets, new types of fuzzy separation axioms and fuzzy compactness are studied. Some applications of \(fg{\alpha}^{\theta}\) - continuous functions are established.