Rough Ideal Convergence of Double Sequences of Fuzzy Numbers

Year 2024, Volume: 2 Issue: 1, 30 - 37, 31.05.2024

Funda Babaarslan , Muhammed Emin Çayar

Abstract

In this paper, we introduce the concepts of rough ideal convergence, rough ideal limit set and rough ideal Cauchy sequence for double sequences of fuzzy numbers. We establish some properties of this convergence and obtain relation between rough ideal limit set and extreme ideal limit points of such sequences. Next, we explore the relation between ideal convergence and its rough analogue. Finally, we examine the connections between the set of cluster points and rough ideal limit set within double sequences of fuzzy numbers.

Keywords

Double sequence, Fuzzy numbers, Ideal convergence, Rough convergence

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