| 一种基于不同粒度语言判断矩阵的群决策方法 |
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| 引用本文： | 陈岩,樊治平,陈侠.一种基于不同粒度语言判断矩阵的群决策方法[J].东北大学学报(自然科学版),2007,28(7):1057-1060. |
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| 作者姓名： | 陈岩 樊治平 陈侠 |
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| 作者单位： | 东北大学,工商管理学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金，教育部高等学校优秀青年教师教学科研奖励计划，高等学校博士学科点专项科研项目，辽宁省教育厅资助项目，流程工业综合自动化教育部重点实验室资助项目 |
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| 摘 要： | 针对基于不同粒度语言判断矩阵的群决策问题,提出了一种新的群决策分析方法.对有序语言短语集中的语言短语进行“量化”,通过变量转换关系将语言判断矩阵转换为互补判断矩阵,并进行了判断信息转换的一致性分析;采用OWA算子将每个决策者给出语言判断矩阵所对应的互补判断矩阵集结为群的偏好矩阵,并通过计算每个方案的优势度来确定最优方案;最后给出一个算例说明了所提出的方法的有效性与实用性.
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| 关 键 词： | 群决策 语言判断矩阵 OWA算子 集结 方案优选 |
| 文章编号： | 1005-3026（2007）07-1057-04 |
| 修稿时间： | 2006-07-05 |
A Method for Group Decision-Making Based on Linguistic Judgment Matrices with Different Granularities |
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| CHEN Yan,FAN Zhi-ping,CHEN Xia.A Method for Group Decision-Making Based on Linguistic Judgment Matrices with Different Granularities[J].Journal of Northeastern University(Natural Science),2007,28(7):1057-1060. |
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| Authors: | CHEN Yan FAN Zhi-ping CHEN Xia |
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| Institution: | School of Business Administration, Northeastern University, Shenyang 110004, China |
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| Abstract: | With regard to the group decision-making based on linguistic judgment matrices with different granularities,a new method of analysis is proposed.The linguistic terms in ordered linguistic terms sets are "quantized" to transform the original linguistic judgment matrices into complementary ones through variables' conversion,with a consistency analysis done for the transformation of judgement matrices.Then,the complementary judgment matrices are aggregated into a group preference matrix by the OWA operator and the best alternative is determined by computing the dominance of every alternative.A numerical example is given to illustrate the practicability and usefullness of the method proposed. |
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| Keywords: | group decision-making linguistic judgment matrix OWA operator aggregation alternative selection |
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