一种结合勾股模糊相似度的多属性决策方法  

A multi-attribute decision-making approach with pythagorean fuzzy similarity

作　　者：蔡香香 王磊[1,2] 王冲 刘斌 Cai Xiangxiang;Wang Lei;Wang Chong;Liu Bin(School of Information Engineering,Nanchang Institute of Engineering,Nanchang,330099,China;Jiangxi Rrovince Key Laboratory of Water Information Cooperative Sensing and Intelligent Processing,School of Information Engineering,Nanchang Institute of Engineering,Nanchang,330099,China)

机构地区：[1]南昌工程学院信息工程学院,南昌330099 [2]江西省水信息协同感知与智能处理重点实验室,南昌工程学院信息工程学院,南昌330099

出　　处：《南京大学学报（自然科学版）》2023年第1期35-42,共8页Journal of Nanjing University（Natural Science）

基　　金：国家自然科学基金(61562061);江西省教育厅科技项目(GJJ170995)。

摘　　要：为了解决现有勾股模糊相似度度量中由于忽略犹豫度而造成度量不精确的问题,提出一种新的相似度的度量方法.首先,在属性值为勾股模糊数的条件下,将勾股模糊相似度定义结合灰色关联分析的思想应用于多属性决策,提出一种新的结合勾股模糊相似度的灰色关联分析多属性决策方法,并设计了该方法的算法.通过一个翔实的算例分析证实了提出方法的正确性和有效性,证明其为多属性决策的一种新的可行方法.通过两组实验结果的对比,提出的方法比其他方法的决策更贴近实际结果,验证了该方法的可靠性.该算法还避免了人工计算,具有高效性.In order to solve the problem of inaccuracy of the existing Pythagorean fuzzy similarity measure due to the neglect of hesitation degree,a new measure of similarity is proposed.First,a new multi-attribute decision making method is proposed by combining the definition of Pythagorean fuzzy similarity with the idea of grey relational analysis under the condition that the attribute values are Pythagorean fuzzy numbers,and the algorithm of this method is designed.The correctness and validity of the proposed method are confirmed by an informative case study,and it is proved to be a new feasible method for multiattribute decision making.By comparing the results of the two sets of experiments,the proposed method is closer to the actual results than the decisions of other methods,and the reliability of the proposed method is verified.The algorithm also avoids manual computation and is more efficient.

关 键 词：多属性决策 勾股模糊集 犹豫度 相似度 灰色关联分析 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程] TP391[自动化与计算机技术—控制科学与工程]