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结合轨道交通建设特点,基于物元可拓数学方法、熵权理论和关联度函数,建立轨道交通建设时序决策的熵权物元可拓模型。该方法首先结合熵权理论,根据指标差异度对评价指标进行客观赋权;其次通过客观标准对评价指标的经典域进行区间界定,利用综合关联度将多指标的评价模型转化为单目标决策;然后依据定量测算的加权综合关联度值综合判定建设时序,最后以成都市轨道交通线网进行实例分析。结果表明:该决策算法所确定的结果与实际建设时序一致,且该算法可以极大拓展研究范围,表征更多分异信息,有效支撑城市轨道交通线网建设时序的综合决策。
Combined with the characteristics of rail transit construction, based on matter-element extension mathematics method, entropy theory and correlation degree function, an entropy weight matter-element extension model for decision-making of rail transit construction is established. This method firstly combines the theory of entropy weight, objectively weights the evaluation index according to the degree of index difference, secondly defines the classical domain of the evaluation index through objective criteria, and converts the evaluation model of multi-index into the single-objective decision-making using the comprehensive correlation degree; Then, the construction sequence is judged synthetically according to the weighted comprehensive relevance value of the quantitative calculation. Finally, the case analysis of Chengdu Metro Line is carried out. The results show that the result of the decision algorithm is consistent with the actual construction sequence, and the algorithm can greatly expand the scope of research, characterize more divergent information, and effectively support the comprehensive decision-making of the urban rail transit network construction timing.