Characterization of lacunary ℐ-convergent sequences in credibility space-Reference-Cited by-同舟云学术

Characterization of lacunary ℐ-convergent sequences in credibility space

Published:2024-01-03 Issue: Volume: Page:
ISSN:0174-4747
Container-title:Analysis
language:en
Short-container-title:

Author:

Das Mousami¹^ORCID,Kişi Ömer²^ORCID,Tripathy Binod Chandra¹^ORCID,Das Birojit³^ORCID

Affiliation:

1. Department of Mathematics , Tripura University , Agartala , 799046 , India

2. Department of Mathematics , BartÄ±n University , BartÄ±n , Türkiye

3. Department of Mathematics , Dr. Ambedkar Center of Excellence , Tripura University , Agartala , 799046 , India

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/anly-2023-0084/pdf

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