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Answers for “在多准则决策中,熵权重意味着什么?”

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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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You calculate the final objective weights wjw_j by normalizing the degree of diversification. The formula is wj=1−ej∑j=1n(1−ej)w_j = \frac{1 - e_j}{\sum_{j=1}^n (1 - e_j)}, which divides each criterion's degree of diversification by the sum of all degrees of diversification.

Conditions: The entropy values eje_j have been calculated for all criteria.; The sum of all degrees of diversification is nonzero.

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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.