基于TOPSIS和隶属度函数的混合多属性决策模型及算例分析

Model and calculation example analysis for hybrid multiple attribute decision-making based on TOPSIS and membership function

针对确数、灰数和模糊数指标与递增性、递减性和固定性数值相结合的复杂混合多属性决策问题,以TOPSIS法、灰色系统理论、模糊数和隶属度函数的思想为基础构建了混合多属性决策模型.设计业务流程再造绩效评估算例,验证了该模型的有效性与可行性,并对模型进行了敏感性分析.分析结果表明,该混合决策模型能够准确地对候选方案进行定量排序,且模型中评价指标的选取在决策中起着至关重要的作用.

In order to solve the complex hybrid multiple attribute decision-making problem of combining such indexes as definite number,grey number and fuzzy number with the increasing,decreasing and constant numerical values,a model for hybrid multiple attribute decision-making was established based on TOPSIS method,grey system theory,fuzzy number and membership function.The calculation examples for the performance evaluation of business process reengineering（BPR） were designed.Both validity and feasibility of the model were verified.Moreover,the sensitivity analysis was also carried out for the model.The analysis results show that the model for hybrid multiple attribute decision-making can perform the quantitative ordering of candidate schemes accurately.Furthermore,the selection of evaluation indexes in the model plays an important role in decision-making.