| 一种基于残缺语言判断矩阵的群决策方法 |
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| 引用本文： | 张尧,樊治平.一种基于残缺语言判断矩阵的群决策方法[J].运筹与管理,2007,16(3):31-35. |
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| 作者姓名： | 张尧 樊治平 |
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| 作者单位： | 1. 东北大学,工商管理学院,辽宁,沈阳,110004
2. 东北大学,工商管理学院,辽宁,沈阳,110004;东北大学,流程工业综合自动化教育部重点实验室,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 本文针对具有残缺语言判断矩阵形式方案偏好信息的群决策问题,提出了一种决策分析方法.首先,阐述了二元语义的概念,并提出了一种扩展的二元语义有序加权平均(ETOWA)算子;然后,采用ETOWA算子集结具有残缺语言判断矩阵形式的方案偏好信息,可计算出每个方案优于其他方案的总体偏好程度,进而可得到所有方案的排序结果.最后,通过给出一个算例说明了本文提出方法的可行性和实用性.
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| 关 键 词： | 群决策 残缺语言判断矩阵 ETOWA算子 二元语义 方案排序 |
| 文章编号： | 1007-3221(2007)03-0031-05 |
| 修稿时间： | 2007年1月28日 |
A Method for Group Decision Making Based on Incomplete Linguistic Judgment Matrices |
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| ZHANG Yao,FAN Zhi-ping.A Method for Group Decision Making Based on Incomplete Linguistic Judgment Matrices[J].Operations Research and Management Science,2007,16(3):31-35. |
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| Authors: | ZHANG Yao FAN Zhi-ping |
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| Abstract: | With respect to group decision making problems(GDM) with linguistic preference relations on alternatives in the form of incomplete linguistic judgment matrices,a decision analysis method is proposed.Firstly,the conception of two-tuple is introduced and expanded two-tuple ordered weighted averaging(ETOWA) operator is proposed.Then,each decision maker's opinion is aggregated using the ETOWA operator and the average preference degree of one alternative over all the other alternatives is calculated.Thus,the ranking of alternatives is obtained by the comparison of linguistic two-tuple information.Finally,a numerical example is used to illustrate the feasibility and practicality of the proposed method. |
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| Keywords: | group decision making problems(GDM) incomplete linguistic judgment matrix expanded two-tuple ordered weighted averaging(ETOWA) operator two-tuple alternative ranking |
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