多型异构数据下关联变权空间多属性决策方法

Association variable weight space multi-attribute decision method under multi-type heterogeneous data

针对当前空间多属性决策方法对空间特性的考虑不足,提出一种综合考虑多型异构性、空间复杂关联性以及空间动态性的空间多属性决策新方法.首先,定义了多型异构数据的D-U空间映射法则,提出了一种使多型异构数据能在空间中得以同构化的方法.其次,考虑空间复杂关联性及动态性,构造了2可加模糊测度下的广义Banzhaf关联变权及关联状态变权.然后,为客观确定关联属性的重要程度,建立了基于2可加模糊测度的广义Banzhaf Choquet逼近理想解优化模型,在此基础上融合关联属性信息实现备选方案的排序优选.最后,将所建模型用于干热岩勘探选区决策案例中,验证了方法的可行性,对比分析证明了方法的有效性及优越性.

In view of the insufficient consideration of spatial characteristics in current spatial multi-attribute decision making methods,it is proposed that a new space multi-attribute decision-making method considering multi-type heterogeneity,spatial complex correlation and spatial dynamics.Firstly,the D-U space mapping rule for multi-type heterogeneous data is defined,and a method is proposed to make multi-type heterogeneous data isomorphic in space.Secondly,considering the complex correlation and dynamics of space,a generalized Banzhaf association variable weight theory system based on 2 additive fuzzy measures is constructed.Then,in order to objectively determine the importance degree of the association attributes,a generalized Banzhaf Choquet Topsis optimization model based on 2-additive fuzzy measure is established.On this basis,the ranking optimization of alternatives is realized by integrating the information of association attributes.Finally,the model is applied to the decision-making example of hot dry rock exploration selection,which verifies the feasibility of the method,and the effectiveness and superiority of the method are proved by comparative analysis.