In order to raise the efficiency of Bayesian decision analysis, the comparison analysisof added information structure with noise are considered by using the correlative coefficient of information structures. The entropy measures the indefiniteness of information system in information theory. It is possible to conduct the evaluation of information reliability, which through defining the decrease of object's indefiniteness by using of conditional entropy, and further to measure the volume of information content in the added information structures. An expression about information correlation and distance that matched to Bayesian decision analysis is derived by considering the standardization of information content. Such analysis demonstrates the correlative coefficient of information structures can be used to compare and appraise the information structures with noise.
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