| 有序加权平均算子权重确定新方法及其应用 |
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| 引用本文： | 王小楠,徐迎军,尹世久.有序加权平均算子权重确定新方法及其应用[J].聊城师院学报,2014(2):82-87. |
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| 作者姓名： | 王小楠 徐迎军 尹世久 |
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| 作者单位： | 曲阜师范大学经济学院,山东日照276826 |
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| 基金项目： | 国家自然科学基金项目（71203122,71371107）;教育部人文社会科学研究青年基金项目（13YJC790169）;山东省自然科学基金项目（ZR2013GL002）;曲阜师范大学博士科研启动基金项目（BSQD20110135）;曲阜师范大学科研基金项目（XJ201239） |
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| 摘 要： | 在应用OWA算子进行决策分析过程中,OWA算子权重的确定是关键的一环.提出了一种确定OWA算子权重的新方法,并把新方法应用于数据为区间数的不确定环境中,基于区间数两两比较的可能度公式和互补判断矩阵的排序公式,提出了一种不确定型OWA算子,给出了其在应用过程中的具体步骤.数值例子表明了新算子的有效性和可行性.
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| 关 键 词： | 有序加权平均算子 权重 区间数 |
A New Model for Determining OWA Operator Weights and Its Application |
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| WANG Xiao-nan,XU Ying-jun,YIN Shi-jiu.A New Model for Determining OWA Operator Weights and Its Application[J].Journal of Liaocheng Teachers University(Natural Science Edition),2014(2):82-87. |
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| Authors: | WANG Xiao-nan XU Ying-jun YIN Shi-jiu |
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| Institution: | (School of Economics, Qufu Normal University, Rizhao 276826, China) |
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| Abstract: | The determination of ordered weighted averaging （OWA） operator weights is a very crucial issue of applying OWA operator for decision making. This paper proposes a new model for determining the OWA operator weights, and applies the new method to accommodate uncertain conditions where all input arguments take the forms of interval numbers. Based on the possibility degree formula for the comparison between interval numbers and the priority method of complementary judgement matrix, an uncertain OWA operator and its application procedures are proposed. A numerical example is given to show the feasibility and effectiveness of the method. |
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| Keywords: | ordered weighted averaging （OWA） operator weights interval number |
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