为了能够从不完备决策表（IDT）中进行知识发现和数据挖掘，提出一种新的具有对称性的双重可变精度限制容差关系粗集模型（VPLTRST）。
To obtain knowledge and data from incomplete decision table(IDT), the paper presents a new doubly variable precision limited tolerance rough set theory model(VPLTRST).
应用粗集理论可以在决策支持系统中对不完备数据进行分析、推理，提取有用特征，简化信息处理，得出肯定结论。
In the Decision Support System the application of Rough Set could analyze, infer to the incomplete data and pick-up useful character, simplify information processing, and get conclusion in the end.
粗糙集理论作为一种处理不完备信息的有力工具，已广泛应用于人工智能的许多领域，特别是数据挖掘和知识发现领域。
Rough set theory, a powerful tool to deal with incomplete information, has been widely used in the area of artificial intelligence, especially in data mining and knowledge discovery.
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