Soft Measure Theory

Sujay Goldar and Subhasis Ray ()
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Sujay Goldar: Department of Mathematics, Pingla Thana Mahavidyalaya, Maligram, West Midnapore, West Bengal 721140, India
Subhasis Ray: ��Department of Mathematics, Visva-Bharati University, Santiniketan 731235, West Bengal, India

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 02, 325-337

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.

Keywords: Soft set; soft element; soft real number; soft σ-algebra; soft measure and soft outer measure (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S179300572250017X

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