区间二型模糊前景理论方法及其在多属性决策中的应用  

Interval Type-2 Fuzzy Prospect Theory Method and Its Application to Multi-Attribute Decision-Making Problem

作　　者：潘晓宏 王应明[1,2] PAN Xiaohong;WANG Yingming(School of Decision Sciences Institute,Fuzhou University,Fujian 350116;Key Laboratory of Spatial Data Mining&Information Sharing of Ministry of Education,Fuzhou University,Fujian 350116)

机构地区：[1]福州大学决策科学研究所,福州350116 [2]福州大学空间数据挖掘与信息共享教育部重点实验室,福州350116

出　　处：《系统科学与数学》2021年第6期1533-1547,共15页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(61773123)资助课题。

摘　　要：针对考虑决策者心理行为的区间二型模糊群体决策问题,提出了一种新的决策方法,并将其应用于地铁站选址问题.首先,提出了一种区间二型模糊集合Cosine相似度模型(IT2-Cosine),用于计量各决策专家之间的关联程度.其次,基于所提Cosine相似度模型,定义了一种新的权重确定模型,用于确定各专家的重要性.然后,利用Nie-Tan算法对传统损益值函数进行扩展并构建损益值矩阵.最后,运用前景理论计算各方案的综合损益值,并根据综合损益值选择最优方案.通过案例分析和比较分析,验证了所提方法在确定决策者权重和刻画决策者心理行为方面的优越性.In this paper,we propose a new method to solve decision-making problems under interval type-2 fuzzy sets(IT2FSs)environment.Firstly,an interval type-2 fuzzy sets cosine similarity model(IT2-Cosine)is defined to determine the correlation degree of each decision maker.Secondly,based on the proposed cosine similarity model,a new weight determination model is defined to determine the importance of decision makers.Then,Nie-Tan operator is used to extend the gain-loss function and construct the gain-loss matrix.Finally,the comprehensive gain-loss value of each scheme is calculated by the prospect theory,and the optimal scheme is selected according to the value.In addition,a case study and comparative analysis are made to show the superiority of the proposed method in determining the weight vector and depicting the psychological behavior.

关 键 词：群体决策 IT2-Cosine相似度模型 Nie-Tan算法 前景理论 

分 类 号：O225[理学—运筹学与控制论] O159[理学—数学]