扩展不完备信息系统及知识依赖度量

对不完备信息系统进行扩充，考虑不同对象可能具有不同的重要性，引入了对象重要性函数．使得知识表达系统可以融入主观偏好和领域先验知识等因素。在此基础上，根据一般二元关系新定义了粗糙集的近似精度、粗糙熵、知识的粗糙熵的概念，证明了扩展不完备信息系统中不确定因素的变化与度量强度之间的重要关系。对于知识依赖进行了深入探讨，研究了由知识动态变化所引起的知识依赖度量程度的变化，进行了相关定理的证明。

Expanded Incomplete Information System and Measurement of Knowledge Dependency

The incomplete information systems are expanded for taking into account that different objects may have different importance. The function that can describe the importance of objects is introduced and then some factors such as subjective preferences and transcendent knowledge, etc can be fused into the knowledge representation systems easily. From what have been discussed above, accuracy measure and rough entropy of rough set, rough entropy of knowledge are re-defined in the expanded incomplete information system. Moreover, some important relationships between uncertainty factors and strength of measurement are investigated. Finally, knowledge dependency is deeply discussed, some relative theorems are proved on account of the changing of measurement with the dynamic varieties of the knowledge.