基于关联熵与复合物元的公交系统综合测度模型

Compressive measurement of urban public traffic system based on relational entropy and complex matter element

针对城市公交系统的发展态势问题,利用可拓学中的物元分析理论和信息论中的熵理论进行了定量研究.在考虑城市公交系统多种因素的基础上,构建了城市公交系统综合测度的指标体系,并用强弱准则对测度指标进行了有效性检验.利用定量分析为主、定性分析和定量分析相结合的方法,将信息熵、隶属函数和复合物元有机地结合起来,建立了城市公交系统综合测度的复合物元模型.最后在关联熵确定测度指标权重系数的基础上,通过计算复合物元,将公交系统的多层次测定转化为单级测定,并用定量的数值来表示测度结果,该测度值能够简明确切地反映出城市公交系统发展现状水平.应用结果表明复合物元模型计算过程简单、实用性强,同时也为多层次多目标测定问题提供了一种合理可行的测度方法.

Aimed to the planning problem of urban public traffic system,a new method based on matter element analysis theory and information entropy theory is presented.On the basis of considering each factor of urban public traffic system,the measurement indexes of urban public traffic system is set up. Coming information entropy,grey system theory and matter element,analyzing the elements that influence urban public traffic system,a complex matter-element model for urban public traffic system is constructed based on information entropy and grey relational degree.The multi-ingredient urban public traffic system measurement is transformed into the single-object decision and the results can directly show the integrative level of urban public traffic system.It has very great guidance to accelerate urban public traffic system. Thus we provide another reasonable and effective method for the multiple attribute measurement problems.