| 摘要: |
| 【目的】针对当前病险水库大坝除险加固方案优选理论方法的缺失和不足，提出基于区间数GRA决策与AHP-Entropy主客观综合赋权的除险加固方案决策方法。【方法】考虑决策信息的模糊不确定性，采用区间数表达决策信息，结合GRA决策方法，求解各备选方案对理想最优方案与临界最优方案的灰色关联系数，通过建立最优化模型得出考虑理想最优与临界最优方案的综合关联系数；综合AHP主观赋权与Entropy客观赋权方法对各属性指标进行赋权，对主客观权重建立相对熵最小化优化模型，得出主客观综合权重，进而求解各指标的加权综合关联度，以此对各备选方案进行排序决策，并通过实际算例验证决策方法的合理性。【结果】建立了基于区间数GRA决策和AHP-Entropy主客观综合赋权的病险水库除险加固方案的灰色关联度优选决策方法。实例计算表明，该方法有效地解决了病险水库除险加固方案优选中属性值为区间数的灰色多属性决策及AHP-Entropy主客观综合赋权问题。【结论】所构建的基于区间数GRA与AHP-Entropy主客观综合赋权的除险加固方案决策方法具有一定的合理性，为水库大坝除险加固方案决策提供了一条有效途径。 |
| 关键词: 病险水库 除险加固 方案优选 区间数GRA AHP-Entropy综合权重 |
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| 基金项目:国家自然科学基金项目(1301597)；陕西省重点科技创新团队项目(2013KCT-015) |
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| Deciding reinforcement scheme for dangerous dam |
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YANG Jie,JIANG De-jun,ZHENG Cheng-cheng,et al
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| Abstract: |
| 【Objective】This study proposed a dam reinforcement scheme decision-making method based on interval numbers GRA decision-making and AHP-Entropy subjective and objective comprehensive weight to overcome the absence and insufficient of dam reinforcement program optimal selection theory.【Method】This method considered the fuzzy uncertainty of the decision-making information,used interval numbers to express the decision-making information,and combined the GRA decision-making method to solve the gray correlation coefficient between various alternatives and ideal optimal and critical optimal programs.It solved the comprehensive correlation coefficient considering ideal optimal and critical optimal programs by establishing an optimization model.AHP subjective weight and Entropy objective weight method were used to empower each attribute index and established a minimum relative entropy optimization model to figure out the subjective and objective comprehensive weight.These alternatives were prioritized and the rationality of the decision-making method was verified by practical example.【Result】Grey correlation degree optimization decision-making method for reinforcement scheme of dangerous dam was established based on interval numbers GRA decision-making and AHP-Entropy subjective and objective comprehensive weight.Results show that this method effectively solved the interval numbers of grey multi-criteria decision-making and decided comprehensive weights of AHP-Entropy.【Conclusion】The established dangerous dam reinforcement scheme decision-making method based on interval number GRA and AHP-Entropy comprehensive weight was valid and practical. |
| Key words: dangerous reservoir dam reinforcement scheme optimization interval number GRA AHP-Entropy comprehensive weight |
