In this paper, we define the notion of fuzzy neighborhood filter at a set and we use it to
introduce and study the fuzzy separation axioms T3 and T4. These axioms are defined using only
the usual points and ordinary subsets as in the axioms T0; T1; T2 which introduced and studied
in part I. A similar study for T0; T1; T2 will be done for these axioms.
Keywords: Fuzzy filters, Principal fuzzy filters, Fuzzy neighborhood filters, Valued fuzzy neighborhoods,
Fuzzy topologies, Fuzzy separation axioms.