Name
Abstract | ||
|---|---|---|
As a new mathematical theory, rough sets have been applied to process imprecise, uncertain and incomplete data. The research of rough sets has been fruitful in finite and non-empty sets. Rough sets, however, only serve as a theoretic tool to discretize the real function. As far as the real function research is concerned, the research work to define rough sets in the real function is infrequent. In this paper, we exploit a new method to define rough sets in normed linear space. We put forward an upper and lower approximation definition, and make preliminary research in the properties of rough sets. A new theoretical tool is provided to study the approximation solutions to differential equation and functional variation in normed linear space.This research is significant in that it extends the application of rough sets to a new field. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1007/11908029_11 | RSCTC |
Keywords | Field | DocType |
real function research,normed linear space,real function,new theoretical tool,rough set,preliminary research,new mathematical theory,new method,new field,research work,differential equation | Applied mathematics,Discrete mathematics,Normed vector space,Linear form,Linear space,Mathematical theory,Rough set,Functional equation,Real-valued function,Mathematics,Dominance-based rough set approach | Conference |
Volume | ISSN | ISBN |
4259 | 0302-9743 | 3-540-47693-8 |
Citations | PageRank | References |
3 | 0.49 | 5 |
Authors | ||
2 | ||