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<p>This work presents a novel approach to measuring centrality within <i>m</i>-polar fuzzy graphs (mPFG). Several properties, along with detailed descriptions of the centrality measure, influence nodes, and related indices, are thoroughly investigated. The proposed approach accounts for the various merits of each member in a network by considering individual merits (self-weight) in the centrality measurement. A limited group of people has been examined to highlight the issue and showcase the potential applications of this novel centrality evaluation technique. This comprehensive method allows for a more nuanced and detailed understanding of node influence in complex, multi-dimensional networks.</p>

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Centrality Measure of m-polar Fuzzy Graph and its Application

  • 期刊论文

  • 发表日期：

    2026年5月12日

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  • Saroj Ghosh,
  • Tanmoy Mahapatra,
  • Anita Pal

摘要

This work presents a novel approach to measuring centrality within m-polar fuzzy graphs (mPFG). Several properties, along with detailed descriptions of the centrality measure, influence nodes, and related indices, are thoroughly investigated. The proposed approach accounts for the various merits of each member in a network by considering individual merits (self-weight) in the centrality measurement. A limited group of people has been examined to highlight the issue and showcase the potential applications of this novel centrality evaluation technique. This comprehensive method allows for a more nuanced and detailed understanding of node influence in complex, multi-dimensional networks.