基坑支护方案的灰色模糊可变决策模型

Grey fuzzy variable decision-making model of supporting schemes for foundation pit

针对影响基坑支护方案决策因素所具有的不确定性、模糊性以及影响因素与评价指标间的相互关联性特点,基于灰色理论和模糊数学理论,建立了基坑支护方案的灰色模糊可变决策模型。应用基于贴近度最大的组合赋权方法确定评价指标权重,并用集值统计法对定性指标进行量化,以解决影响模型决策结果准确程度的关键问题。工程实例分析表明,采用该模型更为科学、有效,易于实现程序化。更重要的是,该方法能够提高优选决策的合理性和可信度,为决策者提供有力的参考,具有一定推广和应用价值。

According to the characteristics of the decision factor of supporting schemes for foundation pit, such as fuzziness, uncertainty and their gray correlation, a grey fuzzy variable decision-making model is established based on gray theory and fuzzy mathematics theory. In order to more rationally solve the critical problems which affect the accurate degree of the result of the model, a combination weighting approach for the weight of evaluation indexes is put forward based on the maximum closeness degree; and qualitative indexes are quantified by set-valued statistics methods. The model is proved to be scientifical and effective by a case study and easy to realize programmed. More importantly, the present method can heighten the rationality and reliability of decision-making and provide worthy reference for decision-maker. So it has some generalization and application value.