Article
Version 2
Preserved in Portico This version is not peer-reviewed
On Soft Lebesgue Measure
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and
Version 1
: Received: 18 October 2020 / Approved: 19 October 2020 / Online: 19 October 2020 (11:12:41 CEST)
Version 2 : Received: 7 December 2022 / Approved: 8 December 2022 / Online: 8 December 2022 (07:52:16 CET)
Version 2 : Received: 7 December 2022 / Approved: 8 December 2022 / Online: 8 December 2022 (07:52:16 CET)
A peer-reviewed article of this Preprint also exists.
Goldar, S.; Ray, S. On Soft Lebesgue Measure. Journal of Uncertain Systems 2023, doi:10.1142/s1752890923500058. Goldar, S.; Ray, S. On Soft Lebesgue Measure. Journal of Uncertain Systems 2023, doi:10.1142/s1752890923500058.
Abstract
In this article, we introduce the concept of soft intervals, soft ordering and sequences of soft real numbers, and some of their structural properties are studied. The notion of soft Lebesgue measure on the soft real numbers has been introduced. Also, a correspondence relationship has been established between the soft Lebesgue measure and the classical Lebesgue measure. Furthermore, we have studied some exciting results and relations between the soft Lebesgue measure and the Lebesgue measure of soft real sets.
Keywords
Soft Set, Soft Element, Soft Real Number, Soft Interval, Soft Sequence, Soft Lebesgue Measure.
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Sujay Goldar
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