| 权重信息不完全的梯形模糊数多属性决策 |
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| 引用本文： | 张伟竞,黄天民,陈尚云.权重信息不完全的梯形模糊数多属性决策[J].太原师范学院学报(自然科学版),2012(3):53-56. |
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| 作者姓名： | 张伟竞 黄天民 陈尚云 |
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| 作者单位： | 西南交通大学数学学院 |
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| 摘 要： | 针对权重信息不完全且属性值为梯形模糊数的模糊多属性决策问题,给出了基于梯形模糊数质心的多属性决策方法,并通过投影法建立了非线性规划模型,通过数学软件得到各属性权重,并通过质心横坐标与纵坐标在虚拟理想方案上的投影率的乘积作为排序指标,进行排序择优.最后通过实例说明了该方法的有效性.
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| 关 键 词： | 梯形模糊数 质心 投影率 多属性决策 |
Multiple Attribute Decision Making of Trapezoid Fuzzy Numbers Based on Attribute Weight Information is Incomplete |
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| Zhang Weijing Huang Tianmin Chen Shangyun.Multiple Attribute Decision Making of Trapezoid Fuzzy Numbers Based on Attribute Weight Information is Incomplete[J].Journal of Taiyuan Normal University:Natural Science Edition,2012(3):53-56. |
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| Authors: | Zhang Weijing Huang Tianmin Chen Shangyun |
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| Institution: | Zhang Weijing Huang Tianmin Chen Shangyun(Department of Mathematic,Southwest Jiaotong University,Chengdu 610031,China) |
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| Abstract: | With respect to multiple attribute decision making problems in which the attribute weight information is incomplete and the attribute values are trapezoid fuzzy numbers.Given a new method based on the centroid point of trapezoid fuzzy numbers,and how decisions by the projection method for nonlinear planning model,using software of mathematics for solve each attribute weight,and ranking with the product on the centroid point on horizontal axis and vertical axis the projection rate on the ideal solution,according to the relational degree,all alternatives are ranked.Finally,a numerical example is provided to illustrate the effectiveness of the method. |
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| Keywords: | trapezoid fuzzy numbers centroid point the projection multiple attribute decision making |
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