论软勒贝格测度

Q4 Mathematics

Journal of Uncertain Systems Pub Date : 2023-04-28 DOI:10.1142/s1752890923500058

S. Goldar, S. Ray

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引用次数: 0

摘要

本文引入了软实数的软区间、软序和软序列的概念，并研究了它们的一些结构性质。在软实数上引入了软勒贝格测度的概念。此外，还建立了软勒贝格测度与经典勒贝格测度的对应关系。此外，我们还研究了软实集的软勒贝格测度与软实集的勒贝格测度之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Soft Lebesgue Measure

In this paper, 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.

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来源期刊

Journal of Uncertain Systems Mathematics-Control and Optimization

CiteScore

1.40

自引率

0.00%

发文量