Characterization of lacunary ℐ-convergent sequences in credibility space

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-03 DOI:10.1515/anly-2023-0084

Mousami Das, Ömer Kişi, B. Tripathy, Birojit Das

引用次数: 0

Abstract

Abstract This research paper aims to introduce the concept of lacunary ideal Cauchy sequences of fuzzy variables in a credibility space. We establish the interrelationships between this notion with lacunary ideal convergent sequences in the same structure from several aspects of credibility. Furthermore, we explore the concepts of strongly lacunary Cauchy, strongly ℐ {\mathcal{I}} -lacunary Cauchy, and strongly ℐ ∗ {\mathcal{I}^{\ast}} -lacunary Cauchy sequences of fuzzy variables within the context of credibility. We also examine the interconnections between these concepts and analyze their relationships.

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可信空间中裂隙ℐ-收敛序列的特征

摘要本文旨在介绍可信度空间中模糊变量的无穷理想考奇序列的概念。我们从可信度的几个方面建立了这一概念与同一结构中的有缺陷理想收敛序列之间的相互关系。此外，我们还探讨了强缺陷考奇、强 ℐ {mathcal{I}} -缺陷考奇的概念。-和强ℐ ∗ {mathcal{I}^{\ast}} 的概念。-lacunary Cauchy 序列。我们还研究了这些概念之间的相互联系，并分析了它们之间的关系。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.