基于加权α优势关系的多属性决策排序方法

Sorting Method of Multi-attribute Decision Making Based on Weighted α Dominance Relation

α优势粗糙集模型利用简单平均法赋权多个阈值α的排序结果,忽视数据集本身信息,导致不同数据集的排序质量差异性较大.针对此问题,文中提出基于加权α优势关系的优势度排序方法.首先运用α优势粗糙集方法详细分析决策对象.在此基础上,为了克服α主观赋权导致多属性决策排序结果中"并列"决策现象存在的不足,依据排序结果采用2种准则赋权α,并融合2种准则下所有对象的综合优势度,进一步细化排序结果.最后在具体算例中对比分析其它排序方法,验证文中方法的可行性和有效性.

In the dominance rough set model, simple average method is exploited to weight sorting results of multiple thresholds , but the dataset information is ignored, and a greater difference in the sorting quality of different datasets is generated. Aiming at this problem, a dominance degree sorting method of weighted dominance relation is proposed in this paper. Firstly, dominance rough set method is applied to decision- making objects for detailed analysis. Then, to overcome the problem of parallel decision phenomenon in multi-attribute decision making sorting results caused by the subjective weight of parameter α, two criteria are applied to weight the parameter α by sorting results, and comprehensive dominance degree of allobjects are fused by the two criteria to further refine the sorting result. Finally, through the comparison with other sorting methods on specific cases, the feasibility and the validity of the proposed sorting method are verified.