基于区间粗糙数的多属性决策方法及应用

针对传统多属性决策模型中大量指标的复杂性和模糊性导致实际决策结果不准确的问题，提出了一种基于区间粗糙数的改进DEMATEL-VIKOR多属性优化决策模型。首先，在区间粗糙数的基础上对传统的DEMATEL方法和VIKOR方法分别进行改进；其次将一种新的归一化加权几何Bonferroni平均算子运用在改进的DEMATEL-VIKOR混合模型中，根据量化结果对各准则进行影响因素分析进而计算折中的可行解；最后，分别从敏感性分析、理论分析及方法比较三种角度对备选方案进行排序，从而得到最优备选方案，应用城市滨水区景观后期综合评价的算例结果表明，该改进算法在不确定和不完备信息环境下的决策结果更具可行性和有效性。

Multiple attribute decision making method and application based on interval rough numbers

In view of the problem that the complexity and fuzziness of a large number of indexes in traditional multiple attribute decision making model lead to inaccurate decision making results, this paper proposed an improved DEMATEL-VIKOR multiple attribute optimization decision making model based on interval rough numbers. Firstly, it improved the traditional DEMATEL method and VIKOR method on the basis of interval rough numbers respectively. Secondly, it used a new normalized weighted geometric Bonferroni mean operator to improve the DEMATEL-VIKOR mixed mode and it calculated the feasible compromise solution by analyzing the influencing factors of each criterion according to the quantitative results. Finally, it ranked the alternatives from three angles: sensitivity analysis, theories analysis and method comparison, so as to obtain the optimal alternatives. An example of comprehensive evaluation of urban waterfront landscape shows that the improved algorithm is more feasible and effective in decision making under uncertain and incomplete information environment.