Scholarlink

Starting from the Boolean notion of logical proportion in Piaget’s sense, which turns out to be equivalent to analogical proportion, this note proposes a definition of analogical proportion between numerical values based on triangular norms (and dual co-norms). Frank’s family of triangular norms is particularly interesting from this perspective. The article concludes with a comparative discussion with another very recent proposal for defining analogical proportions between numerical values based on the family of generalized means.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Frank’s Triangular Norms in Piaget’s Logical Proportions

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Henri Prade,
  • Gilles Richard

摘要

Starting from the Boolean notion of logical proportion in Piaget’s sense, which turns out to be equivalent to analogical proportion, this note proposes a definition of analogical proportion between numerical values based on triangular norms (and dual co-norms). Frank’s family of triangular norms is particularly interesting from this perspective. The article concludes with a comparative discussion with another very recent proposal for defining analogical proportions between numerical values based on the family of generalized means.