On the Lattice of Conceptual Measurements

Autor:	Hanika, Tom, Hirth, Johannes
Rok vydání:	2020
Předmět:	Computer Science - Artificial Intelligence Computer Science - Machine Learning Computer Science - Logic in Computer Science 03G10 68T27
Zdroj:	Information Sciences, 613, 2022, 453-468
Druh dokumentu:	Working Paper
DOI:	10.1016/j.ins.2022.09.005
Popis:	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. Comment: 19 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.05267 Zobrazit plný text záznamu View this record from Arxiv