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<p>This paper is motivated by the emerging framework of rough ideal convergence which provides a tolerance parameter that allows sequences to converge within a certain margin and is studied in the context of fuzzy sequences. We introduce detailed notations for rough ideal convergence of fuzzy sequences and define the corresponding rough ideal limit sets. We then explore their fundamental properties and relationships, and present counterexamples to illustrate the concepts more clearly.</p>

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On \(r\)-\({\mathcal {I}}\) limit set of a fuzzy number sequence

  • 期刊论文

  • 发表日期：

    2025年9月3日

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  • Debjani Rakshit

摘要

This paper is motivated by the emerging framework of rough ideal convergence which provides a tolerance parameter that allows sequences to converge within a certain margin and is studied in the context of fuzzy sequences. We introduce detailed notations for rough ideal convergence of fuzzy sequences and define the corresponding rough ideal limit sets. We then explore their fundamental properties and relationships, and present counterexamples to illustrate the concepts more clearly.