毕达哥拉斯犹豫模糊数灰集转换及在多属性决策中的应用

Pythagoras hesitant fuzzy number grey set transformation and its application in multi-attribute decision making

在解决多属性决策问题中,尤其面对涉及毕达哥拉斯犹豫模糊信息的情形,通过分析补充元素对决策的影响,提出一种灰集转换规范化方法,该方法有效地解决了传统毕达哥拉斯犹豫模糊处理中易于引入误差的问题;进一步地提出了一种毕达哥拉斯犹豫模糊灰集转换模型,该模型特别适用于数据稀缺和信息匮乏的场景,显著增强了处理不确定性信息的能力,也提高了模型在面对各种不确定环境时的适应性和鲁棒性,通过案例分析和对比验证,证实了毕达哥拉斯犹豫模糊灰集转换方法在实际决策过程中的有效性和可行性。

In solving multi-attribute decision-making problems,especially in case of Pythagorean Hesitation Fuzzy information,this study proposes a Gray Set Transformation Normalization method,by analyzing the impact of supplementary elements on decision-making;and this method effectively solves the problem that it is likely to introduce errors in Pythagorean Hesitant Fuzzy processing.Furthermore,this study proposes a Pythagorean Hesitant Fuzzy Gray Set Conversion model,which applies to the cases where data is insufficient and information is scarce;and the model significantly enhances the ability of processing uncertain information,as well as improves the model's adaptability and robustness in various uncertain circumstances.Through case analysis and comparative verification,this study confirms the effectiveness and feasibility of the Pythagorean Hesitation Fuzzy Gray Set Conversion method in the practical decision-making process.