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<p>In this paper, we introduce the rough convergence of sequences of fuzzy numbers with respect to the sendograph metric. We investigate the algebraic behaviour of the rough convergence with respect to the sendograph metric under the linear operations on the family of fuzzy numbers. In the sequel, we examine some properties of the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(r-\)</EquationSource> </InlineEquation>sendograph limit set of a sequence of fuzzy numbers.</p>

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Rough Convergence of Sequences of Fuzzy Numbers with Respect to the Sendograph Metric

  • 期刊论文

  • 发表日期：

    2026年6月30日

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  • Öznur Ölmez,
  • Salih Aytar,
  • Hüseyin Albayrak

摘要

In this paper, we introduce the rough convergence of sequences of fuzzy numbers with respect to the sendograph metric. We investigate the algebraic behaviour of the rough convergence with respect to the sendograph metric under the linear operations on the family of fuzzy numbers. In the sequel, we examine some properties of the \(r-\) sendograph limit set of a sequence of fuzzy numbers.