基于前景理论的毕达哥拉斯二元语义PROMETHEE决策方法  

Pythagorean 2-tuple linguistic PROMETHEE decision making method based on prospect theory

作　　者：常娟[1] 刘卫锋[1] Chang Juan;Liu Weifeng(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China)

机构地区：[1]郑州航空工业管理学院数学学院,郑州450046

出　　处：《计算机应用研究》2021年第5期1449-1454,共6页Application Research of Computers

基　　金：国家自然科学基金青年基金项目(11501525);河南省高等学校重点科研项目(20A110035);河南省高等学校重点科研项目计划基础研究专项资助项目(20zx003);河南省科技攻关计划(212102110206)。

摘　　要：针对属性值为毕达哥拉斯二元语义数(P2TLN)的多属性决策问题,考虑到决策者的有限理性行为,提出基于前景理论的偏好顺序结构排序法(PROMETHEE)的决策方法。首先,介绍毕达哥拉斯二元语义集的相关概念,并对现有P2TLN的距离进行改进,提出一种基于得分函数和精确函数的P2TLN距离,并证明其性质;其次,为体现决策者在比较决策信息时的风险偏好,利用前景价值函数构造P2TLN的优先函数,并以此对方案进行两两比较,从而计算各方案的净流量,进而对各方案进行排序。最后,通过物流公司的评估实例说明所提方法的可行性和有效性。In view of the multi-attribute decision problem in which the value of attribute was in the form of Pythagorean 2-tuple linguistic numbers,considering the bounded rational behavior of decision maker,this paper proposed the decision making method of the preference ranking organization method for enrichment evaluations(PROMETHEE)based on prospect theory.Firstly,this paper introduced the related concepts of the Pythagorean 2-tuple linguistic set,improved the existing distance of P2TLN,and defined the improved distance by use of the score function and the exact function of P2TLN,and verified the properties of the improved distance.Secondly,in order to reflect the risk preference of decision makers when comparing decision information,it constructed the priority function of P2TLN by combining the prospect value function.Then,it compared the alternatives in pairs by use of the priority function,and ranked the alternatives by calculating the net flow of each scheme.Finally,this paper gave an example about the evaluation of logistics companies to show the feasibility and effectiveness of the proposed method.

关 键 词：毕达哥拉斯二元语义集 前景理论 PROMETHEE 多属性决策 

分 类 号：C934[经济管理—管理学] O223[理学—运筹学与控制论]