Granularity of knowledge, indiscernibility and rough sets
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TL;DR
Basic concepts of rough set theory are defined and their granular structure pointed out and the consequences of granularity of knowledge for reasoning about imprecise concepts are discussed.
Abstract
Granularity of knowledge has attracted attention of many researchers. This paper concerns this issue from the rough set perspective. Granularity is inherently connected with the foundation of rough set theory. The concept of the rough set hinges on classification of objects of interest into similarity classes, which form elementary building blocks (atoms, granules) of knowledge. These granules are employed to define basic concepts of the theory. In the paper basic concepts of rough set theory are defined and their granular structure pointed out. Next the consequences of granularity of knowledge for reasoning about imprecise concepts are discussed.