| 广义实型密度加权平均中间算子及应用 |
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| 引用本文： | 易平涛,郭亚军.广义实型密度加权平均中间算子及应用[J].系统工程学报,2010,25(2). |
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| 作者姓名： | 易平涛 郭亚军 |
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| 作者单位： | 东北大学工商管理学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金，中国博士后科学基金，中国博士后科学基金特别资助项目，辽宁省博士科研启动基金 |
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| 摘 要： | 针对普遍存在的向量、矩阵等多维的数据形式,将面向点值的密度加权平均中间(DWA)算子拓展为广义实型密度加权平均中间(GR-DWA)算子.给出了通用的数据元素聚类过程,该过程能够对点、向量、矩阵等3种类型的数据进行有效分组.研究了一种兼顾"规模"与"功能"信息的密度加权向量设置方法,并给出了3种参数确定思路,以支持主观、客观或主客观结合等多种决策方式.定义广义实型密度算术平均(GR-DWAAA)算子,并探讨了GR-DWA算子在多属性群决策中的多种运用途径.最后,给出了GR-DWAAA算子处理多属性群决策问题的一个应用算例,算例的结果验证了算子的有效性.
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| 关 键 词： | 信息集结 广义实型密度加权平均中间算子 数据元素聚类 密度加权向量 多属性群决策 |
Generalized real density weighted averaging middle operator and its application |
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| YI Ping-tao,GUO Ya-jun.Generalized real density weighted averaging middle operator and its application[J].Journal of Systems Engineering,2010,25(2). |
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| Authors: | YI Ping-tao GUO Ya-jun |
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| Institution: | YI Ping-tao,GUO Ya-jun(School of Business Administration,Northeastern University,Shenyang 110004,China) |
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| Abstract: | The density weighted averaging(DWA) middle operators are extended to the generalized real density weighted averaging(GR-DWA) middle operators to deal with multi-dimensional data forms.A generalized clustering process is suggested,which is responsible for the effective grouping of points,vectors and matrices.A density weighted vectors assignment method giving attention to both scale and functional information is studied and three methods are put forward in order to support multiple decision-making methods in... |
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| Keywords: | information aggregation generalized real density weighted averaging middle operators argument clustering density weighted vector multi-attribute group decision making |
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