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<p>Using the Fibonacci matrix, we introduce the Fibonacci sequence of fuzzy variables in four directions of credibility theory: almost surely, credibility, mean, and <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40010_2025_930_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(p-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation> distance. We also discuss the <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40010_2025_930_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(p-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>distance convergence of a sequence of fuzzy variables in terms of credibility. In this context, we demonstrate some relationship between the aforementioned Fibonacci convergence and the existent ones.</p>

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A Study on Fuzzy Variable Fibonacci Sequence Via Credibility Theory

  • 期刊论文

  • 发表日期：

    2025年5月30日

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  • Sangeeta Saha,
  • Binod Chandra Tripathy

摘要

Using the Fibonacci matrix, we introduce the Fibonacci sequence of fuzzy variables in four directions of credibility theory: almost surely, credibility, mean, and \(p-\) p - distance. We also discuss the \(p-\) p - distance convergence of a sequence of fuzzy variables in terms of credibility. In this context, we demonstrate some relationship between the aforementioned Fibonacci convergence and the existent ones.