大连理工大学学报2012，Vol.52Issue(6)：921-927,7.
基于相对熵的多粒度不确定语言型群决策方法
A multi-granularity uncertain linguistic group decision-making method based on relative entropy
摘要
Abstract
For multiple attributes group decision-making problems with multi-granularity uncertain linguistic information and incomplete attribute weighted information of the decision-makers,a decision analysis method is proposed.The method,firstly,uniforms the multi-granularity linguistic information using a two-tuple linguistic transformation function.Then,an optimization model,which aims to minimize the relative entropy of the alternatives to the positive ideal solution and maximize the relative entropy of the alternatives to the negative ideal solution,is established to determine the attribute weights of the decision-makers.Finally,the uncertain two-tuple ordered weighted averaging(OWA)operator is utilized to obtain the decision group′s evaluation on the alternatives.By calculating the possibility degree to which the alternative is superior to others,the alternatives can be ranked.The numerical example illustrates the feasibility and effectiveness of the proposed method.关键词
多属性群决策/多粒度不确定语言/区间相对熵/二元语义/不完全权重信息Key words
multiple attributes group decision-making/multi-granularity uncertain linguistic/interval relative entropy/two-tuple linguistic/incomplete weighted information分类
管理科学引用本文复制引用
张震,郭崇慧..基于相对熵的多粒度不确定语言型群决策方法[J].大连理工大学学报,2012,52(6):921-927,7.基金项目
国家自然科学基金资助项目（重点项目71031002 （）
71171030） （）
教育部新世纪优秀人才支持计划资助项目 （）
