毕达哥拉斯犹豫模糊集多属性决策研究  

Research on multi-attribute decision-making for Pythagorean hesitation fuzzy sets

作　　者：关欣 刘赢 GUAN Xin;LIU Ying(Naval Aviation University,Yantai 264000,China)

机构地区：[1]海军航空大学,山东烟台264000

出　　处：《系统工程与电子技术》2024年第3期982-991,共10页Systems Engineering and Electronics

基　　金：泰山学者工程专项经费(ts201712072)资助课题。

摘　　要：针对属性间相互关联,评价信息为毕达哥拉斯犹豫模糊信息的多属性决策问题,首先通过研究犹豫度对决策结果的影响,提出一种新的毕达哥拉斯犹豫模糊集得分函数,解决了现有得分函数中存在的不足。其次,提出一种最小公倍数规范化原则,解决了现有方法容易引入误差的缺陷。最后,针对属性关联的多属性决策问题,基于λ-模糊测度与Choquet积分,提出了一种拓展交互式多准则决策(interative multi-criteria decision-making,TODIM)方法,既解决了属性关联的问题,又通过前景理论反映了决策者的心理行为特征。实例分析与敏感性分析验证了所提算法的正确性与有效性。In view of the multi-attribute decision-making problem in which the attributes are interrelated and the evaluation information is Pythagorean hesitation fuzzy information,first of all,by studying the influence of hesitation on the decision-making results,a new Pythagorean hesitation fuzzy set score function is proposed to solve the shortcomings of the existing score functions.Secondly,a least common multiple standardization principle is proposed to solve the defect that the existing methods are easy to introduce errors.Finally,for the multi-attribute decision-making problem of attribute association,based onλ-fuzzy measure and Choquet integral,an extended interative multi-criteria decision-making(TODIM)method is put forward,which not only solves the problem of criteria interaction,but also reflects the psychological behavior characteristics of decision makers through prospect theory.The correctness and effectiveness of the proposed algorithm are verified through case analysis and sensitivity analysis.

关 键 词：毕达哥拉斯犹豫模糊集 得分函数 最小公倍数规范化原则 属性关联 交互式多准则决策方法 

分 类 号：C934[经济管理—管理学]