Mappings and products in soft L-topological spaces

Abstract

Fuzzy set, soft set and their extensions have been successful in being a raapproachment between precise classical mathematics and imprecise real world. In particular, soft lattices as a generalization of soft set is a new mathematical approach to study uncertainity. Soft L-topological spaces are defined over a soft lattice L with a fixed set of parameter P and the continuity of mappings of soft L-topological spaces has also been studied. In this paper, we introduce the concept of soft L-continuous mapping between two soft L-topological spaces. Further some results based on soft L-homeomorphism are also obtained. Finally, the concept of cartesian product of soft L-sets are defined and explored some results relating to this.