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The study of functional equations involving fuzzy logic connectives, especially fuzzy implications, has found immense utility both in the advancement of theory and applications. In this work, we discuss the pseudo-homogeneity functional equation involving fuzzy implications. An interesting outcome of this work is a novel sufficient condition on the triple ( \(S,T_\textbf{P},N\) ) such that the QL-operation obtained from it is also a QL-implication.

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On Pseudo-homogeneity of Fuzzy Implications

  • 会议论文

  • 发表日期：

    2025年

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  • Kavit Nanavati,
  • Balasubramaniam Jayaram

摘要

The study of functional equations involving fuzzy logic connectives, especially fuzzy implications, has found immense utility both in the advancement of theory and applications. In this work, we discuss the pseudo-homogeneity functional equation involving fuzzy implications. An interesting outcome of this work is a novel sufficient condition on the triple ( \(S,T_\textbf{P},N\) ) such that the QL-operation obtained from it is also a QL-implication.