| 基于目标规划和投影的模糊多属性决策法 |
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| 引用本文： | 赵振宏,周宏安.基于目标规划和投影的模糊多属性决策法[J].陕西理工学院学报(自然科学版),2012,28(5):55-59. |
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| 作者姓名： | 赵振宏 周宏安 |
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| 作者单位： | 1. 汉中职业技术学院 基础课部,陕西汉中,723000
2. 陕西理工学院数学与计算机科学学院,陕西汉中,723000 |
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| 基金项目： | 陕西省教育厅自然科学研究基金资助项目(11JK0501) |
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| 摘 要： | 针对部分权重信息下对方案有模糊互反偏好关系的决策问题,首先,基于决策者的主客观偏好信息偏差最小化建立一个目标规划模型获得属性权重,其次,利用各方案的模糊加权属性值在正理想解上的投影对方案进行排序,最后进行了实例验证.
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| 关 键 词： | 模糊多属性决策 目标规划 权重 模糊正理想解 投影 排序 |
Method of fuzzy multi-attribute decision-making based on goal programming model and projection |
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| ZHAO Zhen-hong
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ZHOU Hong-an.Method of fuzzy multi-attribute decision-making based on goal programming model and projection[J].Journal of Shananxi University of Technology:Natural Science Edition,2012,28(5):55-59. |
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| Authors: | ZHAO Zhen-hong ZHOU Hong-an |
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| Institution: | 1.Department of Basic Science,Hanzhong Vocational and Technical College, Hanzhong 723000,China; 2.School of Mathematics and Computer Science,Shaanxi University of Technology, Hanzhong 723000,China) |
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| Abstract: | The problem to be solved is fuzzy multi-attribute decision-making with fuzzy reciprocal preference on alternatives under partial weight information.Firstly,based on the minimum deviation between subjective and objective preference information on alternatives,a goal programming model is established and the attribute weights are obtained by solving the model.Secondly,the alternatives are ranked by using the projection of the weighted attribute values of every alternative on fuzzy positive ideal solution(FPIS) of alternatives.Finally,a practical example is illustrated. |
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| Keywords: | fuzzy multi-attribute decision making goal programming model weight fuzzy positive ideal solution(FPIS) projection prioritizing |
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