Pythagorean模糊环境下的三支多属性决策方法  

A three-way multi-attribute decision-making method under a Pythagorean fuzzy environment

作　　者：刘崟 张海东[1] LIU Yin;ZHANG Haidong(College of Mathematics and Computer Science,Northwest Minzu University,Lanzhou,Gansu 730000,China)

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730000

出　　处：《闽南师范大学学报（自然科学版）》2024年第3期17-27,共11页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金项目(61966032);西北民族大学中央高校基本科研业务费项目(31920230176)。

摘　　要：将后悔理论与逼近理想解排序(TOPSIS)法相结合,提出了一种新的三支多属性决策方法,旨在减少决策者的后悔情绪,提高决策满意度.首先,通过评价信息表确定各属性下备选方案的状态集,计算各方案的条件概率.其次,结合TOPSIS和后悔理论,计算相对损失函数,进而确定期望损失,并建立三支决策规则,对方案进行排序并划分为接受域、延迟决策域或拒绝域.最后,以城市轨道交通站点选择为例,进行案例对比分析,验证了该方法的可行性和有效性;接着进行参数分析,以验证该方法的稳定性.A new three-way multi-attribute decision-making method that combines regret theory with the TOPSIS(technique for order preference by similarity to an ideal solution)approach is proposed,aiming to reduce decision-makers’regret and improve decision satisfaction.First,the status set of alternative solutions under each attribute is determined through the evaluation information form,and the conditional probabilities of each solution are calculated.Second,combining TOPSIS and regret theory,the relative loss function is calculated to determine the expected loss,and a three-way decision rule is established to rank and divide the solutions into the acceptance domain,postponement decision domain,or rejection domain.Finally,taking the selection of urban rail transit stations as an example,a case comparison analysis is conducted to validate the feasibility and effectiveness of this method.Next,parameter analysis is conducted to validate the stability of the method.

关 键 词：三支决策 Pythagorean模糊β覆盖 多属性决策 后悔理论 逼近理想解排序(TOPSIS)法 

分 类 号：C934[经济管理—管理学]