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针对多属性不完备信息系统,提出了一种主客观权重相结合的权重计算方法。在对缺失数据进行修补的基础上,利用粗糙集理论计算各属性的客观权重,利用G1法计算各属性的主观权重。与此同时,通过引入权重因子α构建了属性综合权重的计算公式,有效的避免了属性权重为零和权重分配不合理的现象。最后,利用该方法对边坡系统进行了分析,结果表明边坡角和岩石容重对边坡的稳定性影响最大,进一步验证了该方法的有效性和可行性。
Aiming at the multi-attribute incomplete information system, a weight calculation method based on subjective and objective weights is proposed. On the basis of repairing the missing data, the objective weight of each attribute is calculated by rough set theory and the subjective weight of each attribute is calculated by the method of G1. At the same time, by introducing the weight factor α, the formula for calculating the comprehensive weight of attributes is constructed, which effectively avoids the phenomenon that the attribute weight is zero and the weight distribution is unreasonable. Finally, the method is used to analyze the slope system. The results show that the slope angle and rock mass density have the greatest influence on the slope stability, further verifying the effectiveness and feasibility of the method.