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考虑决策者行为的概率不确定语言决策方法
引用本文:陈业华,岳小云,刘一健,张志宇,孙多青. 考虑决策者行为的概率不确定语言决策方法[J]. 数学的实践与认识, 2019, 0(1): 152-161
作者姓名:陈业华  岳小云  刘一健  张志宇  孙多青
作者单位:燕山大学经济管理学院;河北科技师范学院数学与信息科技学院;河北科技师范学院化学工程学院;秦皇岛职业技术学院
基金项目: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.

关 键 词:概率不确定语言集  属性权重  多属性群决策  TODIM方法

Probabilistic Uncertain Linguistic Decision-Making for Considering the Behavior of Decision Makers
CHEN Ye-hua,YUE Xiao-yun,LIU Yi-jian,ZHANG Zhi-yu,SUN Duo-qing. Probabilistic Uncertain Linguistic Decision-Making for Considering the Behavior of Decision Makers[J]. Mathematics in Practice and Theory, 2019, 0(1): 152-161
Authors:CHEN Ye-hua  YUE Xiao-yun  LIU Yi-jian  ZHANG Zhi-yu  SUN Duo-qing
Affiliation:(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)
Abstract: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)
Keywords:probabilistic uncertain linguistic term set  attribute weight  multi-attribute group decision-making  TODIM method
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