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Uncertainty measure is a key issue of uncertain systems. In this paper, conditional entropy and increment information are introduced to discuss the two set relations in the same incomplete information systems based on covering approximation space. Two new kinds of measurements about the knowledge of rough set are presented. Furthermore the finer the set is, the lower the conditional entropy and increment...
In incomplete information system, new information entropy and conditional entropy based on general relation are proposed. The results that the information entropy is extended from the general relation to equivalent relation and tolerance relation are found. Then the conclusion that the conditional entropy based on general relation decreases monotonously as the neighbor operators become finer is obtained...
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