Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Soft Lebesgue Measure

Version 1 : Received: 18 October 2020 / Approved: 19 October 2020 / Online: 19 October 2020 (11:12:41 CEST)

How to cite: Goldar, S.; Ray, S. On Soft Lebesgue Measure. Preprints 2020, 2020100374 (doi: 10.20944/preprints202010.0374.v1). Goldar, S.; Ray, S. On Soft Lebesgue Measure. Preprints 2020, 2020100374 (doi: 10.20944/preprints202010.0374.v1).

Abstract

In this article, we introduce the concept of soft intervals, soft ordering and sequences of soft real numbers and study their properties and some interesting results. Also the notion of soft Lebesgue measure on the soft real numbers has been introduced. A correspondence relationship between the soft Lebesgue measure and the Lebesgue measure has been established.

Subject Areas

Soft Set; Soft Element; Soft Real Number; Soft Interval; Soft Sequence and Soft Lebesgue Measure

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