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在广义粗集覆盖约简理论中,由于集合的上下近似是由其覆盖约简来确定的,因此有必要寻求一种新的度量来刻画知识和粗集的粗糙性.通过引入信息熵以刻画广义粗集覆盖约简的知识粗糙性以及粗集粗糙性,提出了一种新的知识粗糙性和粗集粗糙性度量.得到知识粗糙熵和粗糙集的粗糙熵都随广义覆盖约简的变细而单调减少的结论,从信息论观点出发,对不完备信息系统粗集理论进行了探讨.
In the theory of generalized rough set coverage reduction, since the upper and lower approximation of a set is determined by its coverage reduction, it is necessary to find a new metric to characterize the rough set of knowledge and rough set.By introducing information entropy to describe A new knowledge roughness and rough set rough measure is proposed.With knowledge rough entropy and rough set rough set entropy, the rough entropy of rough set rough set decreases as the generalized cover reduced Narrow and monotonous reduction conclusion, starting from the information theory point of view, the incomplete information system rough set theory is discussed.