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Answers for “在应用熵方法之前,如何对决策矩阵进行归一化?”

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You normalize the decision matrix by dividing each entry by the sum of its own column. This column-wise operation ensures that the sum of the normalized values in each criterion column equals 1.

Conditions: The matrix contains nonnegative numerical attribute values.; The sum of each column must be nonzero.; Normalization is applied independently to each criterion column.

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Entropy weight describes how much different alternatives approach one another with respect to a certain criterion. It is a data-driven measure that determines the objective importance of a criterion based on the variability of the data.

Conditions: Applied in multi-criteria decision making contexts.; Weights are derived from the data pattern itself rather than subjective judgments.

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The entropy method derives weights directly from the data pattern itself, measuring the dispersion of alternatives. Unlike AHP, which requires subjective pairwise comparison judgments from decision makers, the entropy method is objective and data-driven.

Conditions: Comparing the entropy method with the Analytic Hierarchy Process (AHP).; The decision matrix contains the necessary numerical data.