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| 权重信息未知对方案有偏好的vague集多指标决策 | |
| 引用本文： | 要瑞璞,沈惠璋,崔国梅. 权重信息未知对方案有偏好的vague集多指标决策[J]. 数学的实践与认识, 2010, 40(6) |
| 作者姓名： | 要瑞璞 沈惠璋 崔国梅 |
| 作者单位： | 1. 天津商业大学 信息工程学院,天津,300134 2. 上海交通大学 系统工程研究所,上海,200052 3. 山西省长子县 慈林山学校,山西 长子,046605 |
| 基金项目： | 国家自然科学基金(70671066) |
| 摘 要： | 就指标权重未知,且对方案有偏好的vague集多指标决策问题,提出了通过使决策者的主观偏好值与属性值的相离度最小来建立最优化模型,从而获得指标的权重.通过将vague值转化为模糊值来建立模糊值矩阵,由模糊值矩阵按各指标对应值的大小对方案进行排序,形成多个线性序,进而由线性序来构造模糊优先矩阵,对其进行截割,得到最优方案.最后通过一个实例说明此方法的具体决策过程. |
| 关 键 词： | 多指标决策 vague集 偏好 相离度 |
Multicriteria Decision Making of Vague Sets with Preference Information on Alternatives under Unknown Weight Information |
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| YAO Rui-pu,SHEN Hui-zhang,CUI Guo-mei. Multicriteria Decision Making of Vague Sets with Preference Information on Alternatives under Unknown Weight Information[J]. Mathematics in Practice and Theory, 2010, 40(6) | |
| Authors: | YAO Rui-pu SHEN Hui-zhang CUI Guo-mei |
| Affiliation: | YAO Rui-pu~1,SHEN Hui-zhang~2,CUI Guo-mei~3 (1.School of Information Engineering Tianjin University of Commerce,Tianjin 300134,China) (2.Shanghai Jiao Tong University Institute of System Engineering,Shanghai 200052,China) (3.School of CiLin Shan,Zhang Zi Country,Shanxi Province,Zhang Zi 046605,China) |
| Abstract: | In the light of the uncertain multicriteria decision - making problems with preference information on alternatives,this paper presents the optimization model by making deviation degree of preference value to attribute value minimum.Then attribute weights are obtained.By transforming Vague sets into fuzzy sets,the fuzzy matrix can be gotten.The alternatives are ranked according to every columns of the fuzzy matrix from big to small .Then the fuzzy priority relation matrix is obtained.By cutting the fuzzy pri... |
| Keywords: | multicriteria decision making vague sets preference deviation degree |
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