多型异构数据下关联变权空间多属性决策方法

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.

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

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.