Abstract: The concept of α-CT₂ separation L-fuzzy subsets in L-fuzzy topological spaces is presented by taking the stratiform structure of L-fuzzy subsets as the point of departure,and its basic characterizations and some topological properties are discussed,and the relation between it and other separateness is exposed,and the action is studied of α-CT₂ separateness in N-compact spaces and N-paracompact spaces.

Key words:  , fuzzy topological space, a-CT?separation subset, fuzzy lattice, stratiform structure ,