圈圈学论文12:基于前景理论的不确定犹豫模糊多属性决策方法研究

点击蓝字，关注我们

分享兴趣，传播快乐，

增长见闻，留下美好！

亲爱的您，这里是LearningYard学苑！

今天小编给大家分享的是论文精读系列12。欢迎您的用心访问！

本次分享的博士论文题目是《基于前景理论的不确定犹豫模糊多属性决策方法研究》，本期将学习第四章内容，一起来看看吧！

编辑切换为居中

添加图片注释，不超过 140 字（可选）

第四章主要讲了犹豫模糊不确定语言VIKOR多属性决策方法，并且同样将此分为了三种情况，第一种是权重已知，第二种是权重部分已知，第三种是权重完全未知。

The fourth chapter mainly talks about the hesitant and uncertain language VIKOR multi-attribute decision-making method, and also divides this into three cases, the first is that the weights are known, the second is that the weights are partially known, and the third is that the weights are completely unknown.

编辑切换为居中

添加图片注释，不超过 140 字（可选）

针对权重已知犹豫模糊不确定语言VIKOR多属性决策方法主要分为两个阶段：即对决策信息的编辑阶段和对决策方案的评价阶段。其中编辑阶段主要是通过前景理论处理犹豫模糊语言变量决策信息并确定价值函数；评价阶段则是采用VIKOR法通过计算群体效应测度和个体后悔测度，并比较妥协度的大小从而进行决策方案排序择优。

The VIKOR multi-attribute decision-making method for the known hesitant and uncertain language for weights is mainly divided into two stages: the editing stage of decision information and the evaluation stage of decision plan. Among them, the editing stage is mainly through the prospect theory to deal with hesitant fuzzy language variable decision information and determine the value function; In the evaluation stage, the VIKOR method is used to calculate the population effect measure and the individual regret measure, and compare the size of the compromise degree to sort the decision plan and select the best.

?

编辑

添加图片注释，不超过 140 字（可选）

针对权重信息不完全的情况，基于满意度最大化来对评价信息为犹豫模糊不确定语言变量的指标属性进行定权研究。权重的设定如果使得所有决策方案的总体值距离负理想解最远而距离正理想解最近，则认为该属性的权重设定为合理的。

Aiming at the incomplete weight information, based on satisfaction maximization, the index attributes of the language variables with hesitant and ambiguous language information are studied. If the weight is set so that the overall value of all decision scenarios is the farthest away from the negative ideal solution and the closest to the positive ideal solution, the weight setting of this property is considered reasonable.

?

编辑切换为居中

添加图片注释，不超过 140 字（可选）

?

编辑

添加图片注释，不超过 140 字（可选）

针对权重信息完全未知的情况，借鉴上一章中相对贴近度的定义思想，对满意度的定义方法加以改进，提出相对满意度的概念，并据此确定权重信息完全未知情况下的属性定权方法。

In view of the situation that the weight information is completely unknown, drawing on the definition of relative proximity in the previous chapter, the definition method of satisfaction is improved, the concept of relative satisfaction is proposed, and the attribute weighting method under the completely unknown weight information is determined accordingly.

?

编辑

添加图片注释，不超过 140 字（可选）

针对第三种权重完全未知的情况，文章采用的是基于改进的TOPSIS的权重信息完全未知的属性定权方法。

In view of the third situation where the weight is completely unknown, the article adopts the attribute weighting method based on the improved TOPSIS weight information that is completely unknown.

总而言之，决策前首先要确定权重是否已知，决策流程图如下图所示，根据不同情况用不同方法确定权重后，确定前景决策矩阵，最后根据VIKOR方法对方案进行排序。

All in all, before making a decision, we must first determine whether the weights are known, the decision flow chart is shown in the following figure, after determining the weights according to different methods according to different situations, determine the prospect decision matrix, and finally sort the scheme according to the VIKOR method.

?

编辑

添加图片注释，不超过 140 字（可选）

本期的分享就到这里，如果您对今天的文章有独特的想法，欢迎给我们留言，让我们相约明天，祝您今天过得开心快乐！

The sharing of this issue is here, if you have a unique idea for today's article, welcome to leave us a message, let us meet tomorrow, I wish you a happy and happy day!

翻译参考来源：Google翻译。

内容参考来源：

[1]李兴江.基于前景理论的不确定犹豫模糊多属性决策方法研究.

部分资料图片来源于参考文献，其余内容由LearningYard学苑原创，仅代表作者个人观点，如有侵权请沟通。

文字、排版｜圈儿

审核｜Tian