在Γ-algebra上定义的度量及其一些概括

IF 1.1 Q1 MATHEMATICS

JOURNAL OF INTERDISCIPLINARY MATHEMATICS Pub Date : 2023-01-01 DOI:10.47974/jim-1502

M. M. Abbood, Hassan H. Ebrahim, Ali Al-Fayadh, Ahmed J. Obaid

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引用次数: 0

摘要

本工作旨在介绍Γ-algebra相对于Γ-algebra计算的概念，以及与Γ-algebra相关的外测度的概念。之后，我们在它们之间建立关系。引入并研究了作为测度和极值测度的两种推广的零加和弱零加的概念。

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Measure defined on Γ–algebra and some of their generalizations

This work aims to introduce concepts about Γ–algebra calculate relative to Γ–algebra and outer measure in relation to Γ–algebra are examples. After that, we establish a relationship between them. The notions of null-additive and weakly null-additive as two generalizations of measure and extreme measure are introduced and studied too.

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来源期刊

JOURNAL OF INTERDISCIPLINARY MATHEMATICS MATHEMATICS-

CiteScore

2.70

自引率

23.50%

发文量

141

期刊介绍： The Journal of Interdisciplinary Mathematics (JIM) is a world leading journal publishing high quality, rigorously peer-reviewed original research in mathematical applications to different disciplines, and to the methodological and theoretical role of mathematics in underpinning all scientific disciplines. The scope is intentionally broad, but papers must make a novel contribution to the fields covered in order to be considered for publication. Topics include, but are not limited, to the following: • Interface of Mathematics with other Disciplines • Theoretical Role of Mathematics • Methodological Role of Mathematics • Interface of Statistics with other Disciplines • Cognitive Sciences • Applications of Mathematics • Industrial Mathematics • Dynamical Systems • Mathematical Biology • Fuzzy Mathematics The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Editor-in-Chief’s discretion. Special issue proposals in cutting-edge and timely areas of research in interdisciplinary mathematical research are encouraged – please contact the Editor-in-Chief in the first instance.