Preprint
Article
On Soft Lebesgue Measure
This version is not peer-reviewed.
Submitted:
18 October 2020
Posted:
19 October 2020
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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.
Keywords:
Soft Set
; Soft Element
; Soft Real Number
; Soft Interval
; Soft Sequence and Soft Lebesgue Measure
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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