基于属性测度的有差异区间型多准则双边匹配决策方法研究

Research on Discrepant Interval-Based Multi-Criteria Bilateral Matching Decision-Making Method Based on Attribute Measure

针对具有主体期望水平的有差异区间型多准则双边匹配决策问题,提出了一种基于属性测度的双边匹配决策方法。首先,针对有差异区间型准则,依据属性测度计算各准则值相对于各期望水平的匹配度,并建立双方在各准则下的匹配度矩阵;然后根据简单加权法原则,建立双方综合匹配度矩阵;进一步,根据双方综合匹配度矩阵,以双方主体的匹配度总和最大为目标,构建多目标优化模型,并根据线性加权法将多目标优化模型转换为单目标优化模型,进而通过模型求解得到双边匹配结果;最后,通过实例验证了所提出的双边匹配决策方法的可行性和有效性。

In view of the discrepant interval multi-criteria bilateral matching decision-making problem with subject expectation level,a proposed method has been applied to of the bilateral matching decision-making based on attribute measure.Firstly,the matching degrees of each criterion relative to each expected level can be calculated according to attribute measures with respect to the discrepant interval criteria,thus establishing the matching degree matrix of each criterion.Then,according to the principle of simple weighting method,the comprehensive matching degree matrices of both sides can be established.Furthermore,a multi-objective optimization model is constructed based on the comprehensive matching matrices of both parties and the maximum sum of matching degrees of both parties.By adopting the linear weighted method,the multi-objective optimization model is transformed into a single-objective optimization model,thus obtaining the bilateral matching results by solving the model.Finally,an example is provided to verify the feasibility and effectiveness of the proposed matching decision method.