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A Fermatean fuzzy set (FFS), an extension of fuzzy set, is highly effective in handling uncertainty in decision-making (DM) problems. The ranking of Fermatean fuzzy numbers (FFNs) is a critical part of the DM process. Therefore, this article introduces the possibility degree measure (PDM) for ranking of FFNs. The developed PDM of FFNs indicates the likelihood that one FFN is superior than another FFN. Moreover, we construct a ranking algorithm for ranking of n FFNs using the developed PDM. Furthermore, we conduct a thorough examination of the desirable properties of the developed PDM of FFNs. The proposed ranking algorithm rectifies the deficiencies of the current ranking algorithm. Finally, we provide numerical examples to demonstrate the proposed PDM’s superiority and effectiveness.

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A Ranking Method for Fermatean Fuzzy Numbers Based on Possibility Degree Measure

  • 会议论文

  • 发表日期：

    2026年

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  • Pooja Yadav,
  • Reeta Bhardwaj,
  • Kamal Kumar,
  • Rishu Arora

摘要

A Fermatean fuzzy set (FFS), an extension of fuzzy set, is highly effective in handling uncertainty in decision-making (DM) problems. The ranking of Fermatean fuzzy numbers (FFNs) is a critical part of the DM process. Therefore, this article introduces the possibility degree measure (PDM) for ranking of FFNs. The developed PDM of FFNs indicates the likelihood that one FFN is superior than another FFN. Moreover, we construct a ranking algorithm for ranking of n FFNs using the developed PDM. Furthermore, we conduct a thorough examination of the desirable properties of the developed PDM of FFNs. The proposed ranking algorithm rectifies the deficiencies of the current ranking algorithm. Finally, we provide numerical examples to demonstrate the proposed PDM’s superiority and effectiveness.