The introduction and utilization of (l, u)-graphs in the extended variable precision rough sets model
โ Scribed by Malcolm J. Beynon
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 258 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
โฆ Synopsis
The extended variable precision rough sets model (VPRS l,u ) is a development of the rough set theory methodology first introduced in the seminal work by Zdzislaw Pawlak. As a technique for data analysis it is based on a set theoretical approach for the possible classification of groups of objects (condition classes) in a decision table to categorical decision attribute values (decision classes). Two measures are considered in this paper which utilize the l and u values necessary within VPRS l,u , the degree of dependency (l, u)-DoD of a decision class and the quality of classification (l, u)-QoC of objects in the model. This article introduces the notion of the (l, u)-graph, which elucidates the effect of the choice of the l and u values on the associated levels of (l, u)-DoD and (l, u)-QoC. A number of descriptive measures including specific lines are defined that utilize the information contained in the (l, u)-graphs. These measures and lines are used to intelligently identify and select subsets of condition attributes described (l, u)-reducts and a choice of the l and u values, based on retaining the underlying (l, u)-DoD or (l, u)-QoC within the associated (l, u)-graph.
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