多粒度概率语言TODIM方法在垃圾回收APP评价中的应用

Applying Multi-granularity Probabilistic Linguistic TODIM Method for Evaluating Waste Recycling APP

针对多粒度概率语义环境下垃圾回收APP评价的多属性群决策问题,考虑决策者规避风险的心理行为,提出一种基于前景理论的TODIM决策方法.首先根据群决策中各专家的多粒度概率语言评价值,构建多粒度概率语言信息的转换函数,对决策矩阵进行一致化处理;其次利用BWM方法求出各个指标的权重;随后在概率语义环境中,引入前景理论,计算考虑决策者心理行为的TODIM决策模型,得到两两方案在各属性比较时收益和损失的优势度,整合获得各方案的综合前景优势度;最后,以评价各类垃圾回收APP的表现为实例,验证所提方法的可行性,通过标准粒度的灵敏度分析说明其稳定性,与基于前景理论的TOPSIS和传统TODIM的对比分析验证其优越性.

With respect to the evaluation of sorting and recycling APP with the multi-granular probabilistic linguistic environment,in which the loss aversion behaviors of the decision maker are considered,a TODIM method based on prospect theory is proposed.Firstly,to deal with the multi-granularity probabilistic evaluation value of each expert in the group decision-making,the new transfer function of multi-granular probabilistic linguistic variables is constructed to unify the decision matrix.Then,an innovative BWM is put forward to derive the attributes’weights.Furthermore,introducing prospect theory under probabilistic linguistic environment,the TODIM decision model with considering the psychological behavior of decision makers is calculated,which can derive the priority of benefit-loss value of each alternative relative to other alternatives about attributes.And the global priority of alternatives is obtained by integrating these value.Finally,taking the evaluation of waste sorting and recycling APP as example,the validity of the proposed method is illustrated.In addition,the sensitivity analysis of standard granularity is conducted,in which the multi-granular probabilistic linguistic function has strong stability.And a comparative analysis with the TOPSIS method based on prospect theory and traditional TODIM method are carried out to verify the superiority of the proposed method.