Theory and applications of granular labelled partitions in multi-scale decision tables

WZ Wu, Y Leung - Information Sciences, 2011 - Elsevier
WZ Wu, Y Leung
Information Sciences, 2011Elsevier
Granular computing and acquisition of if-then rules are two basic issues in knowledge
representation and data mining. A formal approach to granular computing with multi-scale
data measured at different levels of granulations is proposed in this paper. The concept of
labelled blocks determined by a surjective function is first introduced. Lower and upper label-
block approximations of sets are then defined. Multi-scale granular labelled partitions and
multi-scale decision granular labelled partitions as well as their derived rough set …
Abstract
Granular computing and acquisition of if-then rules are two basic issues in knowledge representation and data mining. A formal approach to granular computing with multi-scale data measured at different levels of granulations is proposed in this paper. The concept of labelled blocks determined by a surjective function is first introduced. Lower and upper label-block approximations of sets are then defined. Multi-scale granular labelled partitions and multi-scale decision granular labelled partitions as well as their derived rough set approximations are further formulated to analyze hierarchically structured data. Finally, the concept of multi-scale information tables in the context of rough set is proposed and the unravelling of decision rules at different scales in multi-scale decision tables is discussed.
Elsevier