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<p>Link prediction plays a vital role in the growth and sustainability of social and telecom networks by facilitating the formation of new connections and enhancing user engagement. In this context, m-polar fuzzy graphs provide a flexible framework for modeling complex networks with multiple interacting attributes. This study introduces an RMS index-based approach for link prediction in m-polar fuzzy graphs, where multi-polar membership degrees effectively capture the diverse influence patterns among non-adjacent nodes. The proposed index reflects the multidimensional nature of network interactions and supports a comprehensive analysis of structural dynamics. Theoretical properties of the method are examined to demonstrate its robustness. Practical applicability is illustrated through real-world scenarios such as matrimonial networking platforms, where multiple simultaneous influences are essential for meaningful relationship formation.</p>

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Link prediction in m-polar fuzzy environment and its application

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年2月6日

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  • Tanmoy Mahapatra,
  • Rupkumar Mahapatra,
  • Sovan Samanta,
  • J. G. Lee,
  • Madhumangal Pal

摘要

Link prediction plays a vital role in the growth and sustainability of social and telecom networks by facilitating the formation of new connections and enhancing user engagement. In this context, m-polar fuzzy graphs provide a flexible framework for modeling complex networks with multiple interacting attributes. This study introduces an RMS index-based approach for link prediction in m-polar fuzzy graphs, where multi-polar membership degrees effectively capture the diverse influence patterns among non-adjacent nodes. The proposed index reflects the multidimensional nature of network interactions and supports a comprehensive analysis of structural dynamics. Theoretical properties of the method are examined to demonstrate its robustness. Practical applicability is illustrated through real-world scenarios such as matrimonial networking platforms, where multiple simultaneous influences are essential for meaningful relationship formation.