Characterization of lacunary ℐ-convergent sequences in credibility space

IF 1.1 1区哲学 0 PHILOSOPHY

ANALYSIS 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

ANALYSIS PHILOSOPHY-

CiteScore

1.30

自引率

12.50%

发文量

期刊介绍： Analysis is the most established and esteemed forum in which to publish short discussions of topics in philosophy. Articles published in Analysis lend themselves to the presentation of cogent but brief arguments for substantive conclusions, and often give rise to discussions which continue over several interchanges. A wide range of topics are covered including: philosophical logic and philosophy of language, metaphysics, epistemology, philosophy of mind, and moral philosophy.