On stratiform L-fuzzy topologies and their application

For a given L-fuzzy topological space and a fixed prime element r of fuzzy lattice L, the concept of L-fuzzy r-open sets is introduced, and it is prov ed that all r-open sets for L-fuzzy topological space form a new L-fuzzy to pology, which is called stratiform L-fuzzy topology. Making use of the stra tiform L-fuzzy topology, a series of new characterizations of L-fuzzy conti nuous mapping and L-fuzzy open mapping and three kinds of separateness (Hau sdorff, regular and normal) are presented. (C) 2001 Elsevier Science B.V. A ll rights reserved.