We use $F_\sigma$ sublocales to define a relation on locales called the $F_\sigma$-below relation. This relation is weaker than the rather below relation. Two separation axioms, namely weakly D-completely regularity and $F_\sigma$-regularity, between perfectness and weakly subfitness are introduced using the $F_\sigma$-below relation. We discuss properties of these two locales and find their relationship with other locales such as regularity and subfitness.