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<p>In this paper, we introduce a novel colouring method called I-fuzzy graph colouring for inverse fuzzy graphs. It defines the chromatic number of inverse fuzzy graphs and explores the relationship between the resultant I-fuzzy graph’s chromatic number and those of individual inverse fuzzy graphs. Various operations, including I-fuzzy union, I-fuzzy intersection, quasi I-fuzzy union, and restricted I-fuzzy union, are employed to establish these relationships. Moreover, we investigate the chromatic number relationship by replacing edge values. The practical application of I-fuzzy graph colouring is demonstrated in determining the simultaneous intake of drugs. Additionally, we observe the MCA problem in inverse fuzzy graphs by considering only I-fuzzy graph colouring functions.</p>

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Inverse fuzzy graph colouring and its application

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • Kadeeja Mole Koyalinte Purakkal,
  • Sameena Kalathodi

摘要

In this paper, we introduce a novel colouring method called I-fuzzy graph colouring for inverse fuzzy graphs. It defines the chromatic number of inverse fuzzy graphs and explores the relationship between the resultant I-fuzzy graph’s chromatic number and those of individual inverse fuzzy graphs. Various operations, including I-fuzzy union, I-fuzzy intersection, quasi I-fuzzy union, and restricted I-fuzzy union, are employed to establish these relationships. Moreover, we investigate the chromatic number relationship by replacing edge values. The practical application of I-fuzzy graph colouring is demonstrated in determining the simultaneous intake of drugs. Additionally, we observe the MCA problem in inverse fuzzy graphs by considering only I-fuzzy graph colouring functions.