Measurable Soft Mappings

Abstract

The goal of this paper is to throw light on the novel concept of measurable soft mappings. The criteria for an extended real-valued soft mapping to be a Lebesgue measurable soft mapping would also be presented. The positive and negative parts of an extended real-valued soft mapping are also introduced therein. The measurability of soft mappings would also be the part of discussion. The definition of soft probability measure in connection with its applications to soft σ-algebra will also be briefly discussed. In the end, an application of soft sets would also be represented.