基于前景理论的区间直觉模糊双向投影决策方法  

Bidirectional projection method with interval-valued intuitionistic fuzzy information based on prospect theory

作　　者：邵良杉[1] 赵琳琳[1] 温廷新[2] 孔祥博[2] 

机构地区：[1]辽宁工程技术大学系统工程研究所,辽宁葫芦岛125000 [2]辽宁工程技术大学工商管理学院,辽宁葫芦岛125000

出　　处：《控制与决策》2016年第6期1143-1147,共5页Control and Decision

基　　金：国家自然科学基金项目(71371091);辽宁省社会科学规划基金项目(L14BTJ004)

摘　　要：针对准则权重不完全确定,方案准则值为区间直觉模糊数的多准则决策问题,提出一种基于前景理论的双向投影决策方法.首先,给出一个考虑犹豫度的区间记分函数;其次,以零点为参考点计算各准则下的综合前景值;然后,利用定义的方案和理想点以及临界点形成的向量表达方式,建立双向投影测度方法,构建并求解基于方案区间投影总偏差最小的非线性规划模型,并结合最大熵原理获得准则权重;接着,利用所提出的基于两个方向区间贴近度公式对各方案进行排序;最后,通过算例验证了该方法的有效性和可行性.Studying the multiple criteria decision-making problem where criteria values are interval-valued intuitionistic fuzzy number and the information of criteria weights is incompletely unknown. A bidirectional projection method based on the prospect theory is proposed. Firstly, an interval score function is defined. Secondly, the prospect decision-making matrix is constructed by calculating the prospect value of each alternative, which uses the zero as the reference point. Then, an optimization model, in which the goal of the sum of variance is based on minimizing, is established to obtain the criteria weights via defining the vectors of an alternative and an ideal（critical） alternative. Furthermore, a relative closeness degree formula based on the alternatives is presented in order to rank the alternatives. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the proposed method.

关 键 词：多准则决策 双向投影 前景理论 Jaynes最大熵 区间直觉模糊数 

分 类 号：C934[经济管理—管理学]