| 基于联系数复运算的区间数多属性决策方法及应用 |
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| 引用本文： | 刘秀梅,赵克勤.基于联系数复运算的区间数多属性决策方法及应用[J].数学的实践与认识,2008,38(23). |
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| 作者姓名： | 刘秀梅 赵克勤 |
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| 作者单位： | 1. 连云港师范高等专科学校,数学系,江苏,连云港,222006
2. 浙江诸暨联系数学研究所上,浙江,诸暨,311811 |
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| 基金项目： | 江苏省现代教育技术规划滚动课题
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连云港师范高等专科学校校级团队招标课题
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连云港师范高等专科学校校级教改课题
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| 摘 要： | 针对属性权重与属性值都为区间数的多属性决策问题,先把区间数转换成a+bi形式的联系数,再按联系数的复运算要求改写成三角函数表达式,在此基础上得到一种多属性加权决策综合主值模型.实例应用表明:该方法在一定程度上客观地反映出区间数多属性决策问题中确定性与不确定性的相互联系和相互影响,算法简便,结论可靠.
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| 关 键 词： | 区间数 多属性决策 联系数a+bi 三角函数表达式 复运算 |
Multiple Attribute Decision Making and Its Applications Based on Complex Number Arithmetic Operation of Connection Number with Interval Numbers |
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| LIU Xiu-mei,ZHAO Ke-qin.Multiple Attribute Decision Making and Its Applications Based on Complex Number Arithmetic Operation of Connection Number with Interval Numbers[J].Mathematics in Practice and Theory,2008,38(23). |
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| Authors: | LIU Xiu-mei ZHAO Ke-qin |
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| Institution: | 1.Department of Mathematics;Lianyungang Teachers College;Lianyungang 222006;China;2.Zhuji Institute of Connection Mathematics;Zhuji 311811;China |
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| Abstract: | This paper discusses multiple attribute decision making question that the project' attribute numerical value and the attribute weights are expressed with interval numbers.By transforming interval numbers into connection numbers,and transforming connection numbers into the expressions used in trigonometric function according to the complex number arithmetic operation,we can obtain multi-attribute weighting synthesis decision-making principal value model.This method objectively reflected the mutual relation a... |
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| Keywords: | interval number multiple attribute decision making question connection number a+bi the expressions used in trigonometric function the complex number arithmetic operation |
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