We first introduce a new sort of fuzzy K-subalgebra called, an (Á;Á _¨)¤- fuzzy K-subalgebra
of K-algebras using the notion of an anti fuzzy point and its besideness to and non-quasi-coincidence with a
fuzzy set, and investigate some of its interesting properties. Then we introduce the concept of an anti fuzzy
K-subalgebra with thresholds. Finally, we discuss generalization of an (Á;Á _¨)¤- fuzzy K-subalgebra.