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Soft Measure Theory

Author

Listed:
  • 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)

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.

Suggested Citation

  • Sujay Goldar & Subhasis Ray, 2022. "Soft Measure Theory," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 325-337, July.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:02:n:s179300572250017x
    DOI: 10.1142/S179300572250017X
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