Name
Abstract | ||
|---|---|---|
Neighborhood System(NS) is revisited from the view of Formal GrC Model. NS formalize the ancient intuition, infinitesimals, which led to the invention of calculus, topology and non-standard analysis. In this paper, we show that Ziarko's variable precision model can be expressed by NS. Together with previously known results (NS includes topology, binary relation(binary neighborhood system) and covering as special cases), NS is the most general rough set model. A new operation "and" is introduced that generates a base of a topology; we will call it knowledge base. The approximations based on such knowledge base can be interpreted as learning. This is different from traditional rough set approximations. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/GRC.2009.5255031 | GrC |
Keywords | Field | DocType |
rough set theory,knowledge engineering,topological space,rough set models,topology,granular computing,neighborhood systems,grc model,neighborhood system,rough set,titanium,computational modeling,knowledge base,binary relation,knowledge based systems,data mining,mathematical model | Binary relation,Computer science,Artificial intelligence,Knowledge base,Binary number,Discrete mathematics,Topological space,Algorithm,Knowledge-based systems,Rough set,Granular computing,Machine learning,Infinitesimal | Conference |
ISBN | Citations | PageRank |
978-1-4244-4830-2 | 7 | 0.54 |
References | Authors | |
2 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xi-bei Yang | 1 | 1211 | 66.36 |
| Xinzhe Li | 2 | 14 | 3.67 |
| Tsau Young Lin | 3 | 1101 | 164.42 |