考虑决策者行为的概率不确定语言决策方法  

Probabilistic Uncertain Linguistic Decision-Making for Considering the Behavior of Decision Makers

作　　者：陈业华[1] 岳小云 刘一健[1,3] 张志宇 孙多青 CHEN Ye-hua;YUE Xiao-yun;LIU Yi-jian;ZHANG Zhi-yu;SUN Duo-qing(Economic and Management College,Yanshan University,Qinhuangdao 066004,China;School of Mathematics and Information Technology,Hebei Normal University of Science and Technology, Qinhuangdao 066004,China;School of Chemical Engineering,Hebei Normal University of Science and Technology,Qinhuangdao 066004, China;Qinhuangdao Vocational and Technical College,Qinhuangdao 066004,China)

机构地区：[1]燕山大学经济管理学院,河北秦皇岛066004 [2]河北科技师范学院数学与信息科技学院,河北秦皇岛066004 [3]河北科技师范学院化学工程学院,河北秦皇岛066004 [4]秦皇岛职业技术学院,河北秦皇岛066004

出　　处：《数学的实践与认识》2019年第1期152-161,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71171174);河北省自然科学基金(G2014203219);河北科技师范学院科学基金(2018HY021)

摘　　要：针对属性权重未知的不确定语言多属性群决策问题,提出一种考虑决策者行为的概率不确定语言决策方法.首先,定义概率不确定语言的海明距离,根据与负理想方案的距离偏差最大建立模型,从而确定属性权重.其次,改进经典TODIM方法适用于概率不确定语言决策环境中,得到了方案排序.最后,通过实例验证了所给方法的可行性,并对比传统的TOPSIS方法进行敏感度分析,进一步验证所提方法的有效性.Based on probabilistic uncertain linguistic term set(PULTS), a group decisionmaking approach is proposed considering the behavior of decision makers, which is used for dealing with uncertain linguistic multi-attribute group decision-making problem with completely unknown attribute weights. First, the hamming distance between any two probabilistic uncertain linguistic term sets(PULTSs) is defined. A maximum deviation model is established based on the distance between each alternative and the negative ideal solution.All the attribute weights are obtained by solving the model. Second, the classical TODIM(an acronym in Portuguese for interactive and multi-criteria decision-making) method is extended and improved, and the rank of all the initiative is gotten by calculating the prospect value of each initiative based on the established TODIM method. Finally, a selection problem of the initiatives is presented to illustrate the practicality of the proposed method. Analyzing the sensitivity of the parameter and comparing it with the TOPSIS(the technique for order of preference by similarity to ideal solution) method, it was revealed to be more effective.

关 键 词：概率不确定语言集 属性权重 多属性群决策 TODIM方法 

分 类 号：O225[理学—运筹学与控制论]