毕达哥拉斯群决策方法及其在绿色供应商选取中的应用

针对专家权重未知且属性值为毕达哥拉斯模糊数的多属性群决策问题,基于证据理论和混合加权毕达哥拉斯MSM算子,提出了一种群决策方法。 首先,由决策信息矩阵获取专家的模糊测度,并赋予其相应的权重;其次,基于新构造的混合加权毕达哥拉斯MSM算子对专家所提供的属性信息分别进行集结,得到各个专家的综合评价信息;再次,利用证据合成方法,对专家综合评价信息进行融合,获得候选方案的综合证据信息,进而可知备选方案的信任区间,并据此对候选方案进行优选决策;最后,绿色供应商选取案例的分析与对比验证了方法的可行性与合理性。

Pythagorean Group Decision Making Method and Its Application in Green Supplier Selection

In view of multi attribute group decision making problems in which the attribute valuesare Pythagorean fuzzy numbers and the criteria weights are unknown, a method based on D-S theory and PFHWMSM operator is proposed. Firstly, the expert’s fuzzy measures and weights are obtained from decision information matrix. Then, a Pythagorean fuzzy hybrid weight MSM operator is introduced to aggregate the attribute information, and obtain the comprehensive evaluation information of expert. Then, using the evidence combination method to infuse the comprehensive evaluation information, the comprehensive evidential information is obtained. Moreover, the trust interval of alternatives can be built, which is used for decision making. Finally, the green supply chain selection case analysis and comparison illustrate the feasibility and rationality of the proposed group decision method.