Soft Topological Group from Classical View Point and Soft Borel Measure

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, 513-524

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.

Keywords: Soft set; soft element; soft group; soft topology; soft topological group; soft Borel set; soft Borel measure (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500259

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