一种基于区间信度结构的混合型多属性决策方法

A hybrid multi-attribute decision-making method based on interval belief structure

考虑决策者对语言评估的不确定性,用区间值表示语言评价等级,并将证据理论(DST)和数据包络分析(DEA)两种方法相结合,提出一种基于区间信度结构的混合型多属性决策方法.首先,通过区间型交叉效率模型构造决策单元定量指标的区间信度结构,利用证据推理非线性优化模型对区间信度结构进行集结,并将集结后的区间信度结构进行效用等价转换,得到一个信度为区间型的分布式等级评估向量;然后,通过证据推理非线性优化模型对定量指标和定性指标的区间信度结构进行融合,得到决策单元总的区间信度结构分布式评估向量,并结合期望效用理论对决策单元进行排序;最后,通过具体算例进行比较分析,结果验证了所提出方法的有效性和合理性.

Considering the uncertainty of language assessment in decision makers, the interval value is used to indicate the language evaluation grade. Combining the Dempster-Shafer theory(DST) and data envelopment analysis(DEA), a hybrid multi-attribute decision making method based on the interval belief structure is proposed. Firstly, by using the interval cross efficiency model to construct the decision-making units interval belief structure of quantitative indicators, taking the evidence reasoning nonlinear optimization model to aggregate the interval belief structure, the interval belief structure of the quantitative indicators of decision-making units is converted into distributed evaluation vectors with interval belief according to the principle of utility(value) equivalence. Then, the interval belief structure of the quantitative and qualitative indicators is integrated through the evidence reasoning nonlinear optimization model, and the distributed evaluation vectors of the total interval belief structure of the decision-making units are obtained, and the expected utility theory is used to rank decision-making units. Finally, a numerocal example is given to illustrate the feasibility and effectiveness of the proposed method.