基于概率不确定犹豫模糊偏好关系的决策模型  

Decision-making model based on probability uncertainty hesitant fuzzy preference relations

作　　者：朱轮[1] 杨波 ZHU Lun;YANG Bo(School of Information Science&Engineering,Changzhou University,Changzhou,Jiangsu 213016,China;Huaide College,Changzhou University,Jingjiang,Jiangsu 214513,China)

机构地区：[1]常州大学信息科学与工程学院,江苏常州213016 [2]常州大学怀德学院,江苏靖江214513

出　　处：《计算机工程与应用》2018年第20期110-114,183,共6页Computer Engineering and Applications

基　　金：江苏省高校自然科学基金面上项目(No.16KJB520001);江苏省科技支撑计划(工业)重点项目(No.BE2013005-3)

摘　　要：针对犹豫模糊信息在现实决策中难以准确和充分的提供决策者评价信息的问题,引入了概率不确定犹豫模糊偏好关系(PUHFPR)的概念,其能够有效处理概率不确定犹豫模糊元(PUHFE)中元素发生概率信息部分已知和完全未知的决策问题;给出了PUHFPR的期望加行一致性、满意加性期望一致性定义,并以偏差最小化为目标函数构建最优化模型确定PUHFPR元素的发生概率;建立基于一致性调整算法的概率不确定犹豫模糊偏决策模型,得到方案的排序权重向量,从而选择最佳的方案;通过遴选上市公司进行投资的实例说明决策模型的有效性。Aiming at it is difficult to provide accurately and fully decision maker’s evaluation information by using hesitant fuzzy information in the real decision-making situation,the Probability Uncertainty Hesitant Fuzzy Preference Relation(PUHFPR)is first introduced,which can effectively deal with the Probability Uncertain Hesitant Fuzzy Element(PUHFE)decision problem elements in probability information partly known and completely unknown.Then,the expected additive consistency and acceptable expected additive consistency of PUHFPR are defined,and an optimization model is constructed to determine the probability of occurrence of PUHFPR elements by minimizing the deviation.In addition,based on consistency adjusted algorithm,the probability uncertainty hesitant fuzzy decision-making model is developed to derive priority weights of alternatives.Finally,an example of the investment through the selection of listed companies shows the effectiveness of the decision-making model.

关 键 词：概率不确定犹豫模糊偏好关系 期望加性一致性 一致性调整算法 决策模型 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]