论概念测量格
On the Lattice of Conceptual Measurements
摘要：
本文提出了一种基于形式概念分析的尺度度量的数据集尺度度量方法，封闭系统之间的连续映射，并导出一个规范表示。此外，我们还证明了所述标度测度关于闭包系统是格序的。这使得通过使用meet和join操作来探索尺度度量集成为可能。此外，我们表明，格的规模措施是同构的子闭包系统，从原始数据产生的格。最后，我们提供了另一种表示的规模措施，使用命题逻辑的数据集的功能。我们的理论研究结果进行了讨论的例子。
英文摘要：
We present a novel approach for data set scaling based on scale-measures from formal concept analysis, i.e., continuous maps between closure systems, and derive a canonical representation. Moreover, we prove said scale-measures are lattice ordered with respect to the closure systems. This enables exploring the set of scale-measures through by the use of meet and join operations. Furthermore we show that the lattice of scale-measures is isomorphic to the lattice of sub-closure systems that arises from the original data. Finally, we provide another representation of scale-measures using propositional logic in terms of data set features. Our theoretical findings are discussed by means of examples.
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。
