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 proved that all r-open sets for L-fuzzy topological space form a new L-fuzzy topology, which is called stratiform L-fuzzy topology. Making use of the stratiform L-fuzzy topology, a series of new characterizations of L-fuzzy continuous mapping and L-fuzzy open mapping and three kinds of separateness (Hausdorff, regular and normal) are presented. (C) 2001 Elsevier Science B.V. All rights reserved.
l-fuzzy topology fuzzy lattice r-open set l-fuzzy continuous mapping l-fuzzy open mapping separation stratiform l-fuzzy topological space