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Soft Topological Group from Classical View Point and Soft Borel Measure

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, we introduce the notion of the soft topological group as a general topological group of soft elements and study their properties. Some interesting results and relation between soft topological group and ordinary topological group of soft elements are studied. Also, soft Borel set and soft Borel measure have been depicted and the relationship between the soft Borel measure and the corresponding Borel measure has been drawn.

Suggested Citation

  • Sujay Goldar & Subhasis Ray, 2022. "Soft Topological Group from Classical View Point and Soft Borel Measure," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 513-524, July.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:02:n:s1793005722500259
    DOI: 10.1142/S1793005722500259
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