基于粗集理论的系统不确定性度量方式研究

Study on System Uncertainty Measures Based on Rough Set Theory

不确定性是决策信息系统的固有特征,对系统的性能具有重要影响.有效地度量决策信息系统的不确定性具有重要意义.粗集理论是处理不确定信息最成功的工具之一.本文评述多种基于粗集理论的系统不确定性度量方式;分析它们的代数特征和数量关系;并通过仿真实验系统地比较它们的性能.结果表明"全知熵不确定率"是最有效的不确定性度量方式,其合理性通过它的成功应用得到进一步验证.

Uncertainty is an intrinsic feature of decision information systems,usually,which affects system performances heavily.Thus,effectively measuring the uncertainty of decision information systems is practically with great significance.Rough set theory is one of the most successful tools for handling uncertain information.Herein,various approaches based on rough set theory for measuring system uncertainty are briefly introduced and remarked,then some of their algebraic characteristics and quantitative relations are disclosed,and their performances are also comprehensively compared through a series of simulation experiments.The results suggest that the method of uncertainty ratio based on all known entropy should be most effective for measuring system uncertainty.Its rationality is further confirmed in a certain sense by its successful application.