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).
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）。
Tolerance relation is an effective tool in patulous rough set theory to deal with incomplete information systems.
在扩充粗糙集理论中，容差关系是一种处理不完备信息系统的工具。
Based on the profound research of rough set theory, the decision table is default filled by using tolerance relation, which proves efficient.
文章在对粗糙集理论研究的基础上，运用容差关系对含有决策的数据表进行了遗漏补缺，实例表明此方法是行之有效的。
The presentation of rough sets based on tolerance relations expands the application scope of rough set theory.
基于容差关系粗糙集的提出扩大了粗集的应用范围。
The presentation of rough sets based on tolerance relations expands the application scope of rough set theory.
基于容差关系粗糙集的提出扩大了粗集的应用范围。
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