Abstract

In this paper, the notion of soft σ-algebra on the soft sets has been introduced. A correspondence relationship between the soft σ-algebra and the σ-algebra has been established. Consequently, soft measure is defined over the soft σ-algebra and the relationship between the soft measure and the corresponding measure has been drawn. Finally, the soft outer measure on the soft power set is coined and also the correspondence between the soft outer measure and the measure has been depicted.

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