| 基于联系数的区间数多属性决策非线性模型及应用 |
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| 引用本文： | 刘秀梅,赵克勤.基于联系数的区间数多属性决策非线性模型及应用[J].数学的实践与认识,2011,41(6). |
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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,初等教育系,江苏,连云港,222006
2. 诸暨联系数学研究所,浙江,诸暨,311811;浙江大学,非传统安全与和平发展中心集对分析研究所,浙江,杭州,310058 |
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| 基金项目： | 连云港高等专科学校校级课题，连云港市"学术技术带头人"项目，连云港师范高等专科学校"青蓝工程学术带头人"资助项目 |
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| 摘 要： | 当多属性决策中的属性权重和属性值都是区间数时,把区间数改写成联系数,并让联系数按普通多项式运算法则作加法和乘法运算,进而建立基于联系数的区间数多属性决策非线性决策模型,其决策联系数为关于i的二次函数,从而说明当属性权重和属性值都是区间数时的决策问题是一个含有二次不确定性的问题.
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| 关 键 词： | 多属性决策 区间数 不确定性 非线性模型 集对分析 联系数 |
Connection-Number-Based Nonlinearity Model and its Applications for Multiple Attributes Decision-Making with Interval Numbers |
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| LIU Xiu-mei,ZHAO Ke-qin.Connection-Number-Based Nonlinearity Model and its Applications for Multiple Attributes Decision-Making with Interval Numbers[J].Mathematics in Practice and Theory,2011,41(6). |
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| Authors: | LIU Xiu-mei ZHAO Ke-qin |
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| Abstract: | A connection-number-based nonlinearity model which is constructed on the basis of general linear-weighted-summed model is proposed for multiple attribute decision making problems in which both the attribute weights and the attribute values are interval numbers. The mathematical expression of the nonlinearity model is the monadic quadratic function on i.For the above-mentioned reasons,we can better analyze the uncertainty in multi-attribute decision-making with interval numbers as a whole. |
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| Keywords: | multiple attribute decision making interval number uncertainty nonlinearity model Set Pair Analysis connection number |
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