| 对方案有偏好的区间粗糙数多属性决策方法 |
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| 引用本文： | 曾智,钱伟懿,赵芳芳.对方案有偏好的区间粗糙数多属性决策方法[J].渤海大学学报(自然科学版),2012,33(2):101-105. |
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| 作者姓名： | 曾智 钱伟懿 赵芳芳 |
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| 作者单位： | 渤海大学数理学院,辽宁锦州,121013 |
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| 基金项目： | 国家自然科学基金，辽宁省自然科学基金 |
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| 摘 要： | 针对属性权重信息不完全且属性值和对方案的偏好值均为区间粗糙数的多属性决策问题,首先引入区间粗糙数的一些运算法则,然后给出了基于投影思想的目标规划模型来确定属性权重,基于区间粗糙数集成算子对区间粗糙信息进行集结,计算出各方案的期望效用值,从而获得各方案的排序择优.最后,实例分析说明了该方法的实用性和有效性.
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| 关 键 词： | 区间粗糙数 区间粗糙数加权平均算子(IRWA) 偏好 |
Interval rough numbers decision making with preference multiple attribute information on alternatives |
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| ZENG Zhi,QIAN Wei-yi,ZHAO Fang-fang.Interval rough numbers decision making with preference multiple attribute information on alternatives[J].Journal of Bohai University:Natural Science Edition,2012,33(2):101-105. |
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| Authors: | ZENG Zhi QIAN Wei-yi ZHAO Fang-fang |
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| Institution: | (College of Mathematics and Physics,Bohai University,Jinzhou 121013,China) |
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| Abstract: | With respect to interval rough numbers multiple attribute decision making problems with preference information on alternatives and incomplete weight information,some operational rules are firstly adduced for interval rough numbers.Secondly,a mini optimization model based on projection idea is established.Based on the number of integrated operators interval rough numbers range of information gathered,utility values of the alternatives are calculated for ranking all alternatives.Finally,a numerical example is given to show the effectiveness and usefulness of the method. |
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| Keywords: | interval rough numbers interval rough weighted average number of operator (IRWA) prefer-enees |
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