基于区间二元语言毕达哥拉斯主成分分析的TODIM方法及其应用

TODIM method based on interval 2-tuple linguistic Pythagorean principal component analysis and its application

针对多属性决策问题中属性和决策者维数较多的情况,将主成分分析模型扩展到区间二元语言毕达哥拉斯模糊环境并构造区间二元语言毕达哥拉斯主成分分析模型,通过此模型获得属性和决策者的权重。提出基于区间二元语言毕达哥拉斯主成分分析的TODIM方法,将此方法应用到实例中并与传统方法进行比较分析,验证该方法的可行性和有效性。

To assist multi-attribute decision making with many dimensions of attributes and decision makers,the principal component analysis model is extended to interval 2-tuple linguistic Pythagorean fuzzy environment and interval 2-tuple linguistic Pythagorean principal component analysis model is constructed,and the weights of attributes and decision makers are obtained by the model.The TODIM method based on interval 2-tuple linguistic Pythagorean principal component analysis is proposed.This method is applied to an example,and compared with the traditional method,the feasibility and effectiveness of the method is verified.