Gradation of Continuity for Fuzzy Soft Mappings

Abstract

This paper is devoted to describe the notion of a parameterized degree of continuity for mappings between $L$ -fuzzy soft topological spaces, where $L$ is a complete De Morgan algebra. The degrees of openness, closedness, and being a homeomorphism for the fuzzy soft mappings are also presented. The properties and characterizations of the proposed notions are pictured. Besides, the degree of continuity for a fuzzy soft mapping is unified with the degree of compactness and connectedness in a natural way.