基于相似性的类比比例

AI总结：

本文在泛代数框架下用相似性表述类比比例，使二者联系内建且显明，并便于将相似性的未来成果直接迁移到类比比例。

摘要：

作者近期在泛代数的一般背景下提出了类比比例与相似性的抽象代数框架。本文旨在通过用相似性来表述类比比例，在相似性与类比比例之间架起一座桥梁。这种基于相似性的方法的优势在于，比例与相似性之间的联系被内置于框架中，因此显而易见，这颇具吸引力，因为比例与相似性都处于类比的核心；此外，未来关于相似性的成果可以直接应用于类比比例。

英文摘要：

The author has recently introduced abstract algebraic frameworks of analogical proportions and similarity within the general setting of universal algebra. The purpose of this paper is to build a bridge from similarity to analogical proportions by formulating the latter in terms of the former. The benefit of this similarity-based approach is that the connection between proportions and similarity is built into the framework and therefore evident which is appealing since proportions and similarity are both at the center of analogy; moreover, future results on similarity can directly be applied to analogical proportions.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。