模糊多属性决策法在海底电缆路由方案比选中的应用

海底电缆预选路由方案的比选需要参考多种指标,这些指标包含定量和定性两种,但各指标间的不可公度性,给路由方案的选择提出挑战。文章提出了一种基于离差思想和模糊向量投影的多属性决策法。首先引入三角模糊数,将定性指标合理量化,构建决策矩阵,规范化后运用离差思想求解各指标权重,然后计算各方案在正理想方案和负理想方案上的投影,最后求出相对贴近度,依据其大小比选出最佳方案。

The Application of Fuzzy Multi-attribute Decision Making Method for Routing Scheme Comparison of Submarine Cables

Multi indexes,which include both quantitative indexes and qualitative indexes,should be considered in the selection of routing scheme of submarine cable,however,the incommensurability of these indexes gives a challenge in the scheme selection.In this paper,a hybrid multiple attribute decision making method based on deviation projection was introduced to choose the routing scheme of submarine.Firstly,the qualitative indexes were converted into triangular fuzzy number,reasonably quantifying the qualitative index,and a decision matrix was constructed.Then the weights of each index were calculated by the deviation maximization method,and the projection of each scheme on the positive ideal scheme and the negative ideal scheme was calculated.Finally,the degrees of relative closeness were calculated,and then the closeness degrees were used to compare the routing scheme.Take one offshore wind farm construction project as an example,three routing schemes of submarine cables were compared by this method.It was found that the first scheme had obvious advantages in the cable length,investment,installation costs and the utilization of maritime space,etc.The conclusions were consistent with both the qualitative indicators and quantitative analysis,revealing that the method was feasibility and reliability in the selected of submarine cable routing scheme.