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Applying λ -Statistical Convergence in Fuzzy Paranormed Spaces to Supply Chain Inventory Management Under Demand Shocks ( D S )

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  • Hasan Öğünmez

    (Department of Mathematics, Faculty of Science and Literature, Afyon Kocatepe University, Afyonkarahisar 03200, Turkey)

  • Muhammed Recai Türkmen

    (Department of Mathematics and Science Education, Faculty of Education, Afyon Kocatepe University, Afyonkarahisar 03200, Turkey)

Abstract

This paper introduces and analyzes the concept of λ -statistical convergence in fuzzy paranormed spaces, demonstrating its relevance to supply chain inventory management under demand shocks. We establish key relationships between generalized convergence methods and fuzzy convex analysis, showing how these results extend classical summability theory to uncertain demand environments. By exploring λ -statistical Cauchy sequences and ( V , λ ) -summability in fuzzy paranormed spaces, we provide new insights applicable to adaptive inventory optimization and decision-making in supply chains. Our findings bridge theoretical aspects of fuzzy convexity with practical convergence tools, advancing the robust modeling of demand uncertainty.

Suggested Citation

  • Hasan Öğünmez & Muhammed Recai Türkmen, 2025. "Applying λ -Statistical Convergence in Fuzzy Paranormed Spaces to Supply Chain Inventory Management Under Demand Shocks ( D S )," Mathematics, MDPI, vol. 13(12), pages 1-21, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:12:p:1977-:d:1679579
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    References listed on IDEAS

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    1. Vatan Karakaya & Necip Şimşek & Müzeyyen Ertürk & Faik Gürsoy, 2012. "Statistical Convergence of Sequences of Functions in Intuitionistic Fuzzy Normed Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-19, November.
    2. Vatan Karakaya & Necip Şimşek & Müzeyyen Ertürk & Faik Gürsoy, 2012. "Statistical Convergence of Sequences of Functions in Intuitionistic Fuzzy Normed Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Karakus, S. & Demirci, K. & Duman, O., 2008. "Statistical convergence on intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 763-769.
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