| 基于拓展算子的灰色随机多准则决策方法 |
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| 引用本文： | 任剑,高阳. 基于拓展算子的灰色随机多准则决策方法[J]. 计算机集成制造系统, 2010, 16(2) |
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| 作者姓名： | 任剑 高阳 |
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| 作者单位： | 1. 中南大学,商学院,湖南,长沙,410083;湖南农业大学,科学技术师范学院,湖南,长沙,410128
2. 中南大学,商学院,湖南,长沙,410083 |
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| 基金项目： | 国家自然科学基金资助项目(70771115);;湖南省哲学社会科学基金资助项目(09YBA072)~~ |
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| 摘 要： | 为解决准则权重为区间数、准则值为梯形灰色随机数的灰色随机多准则决策问题,设计了一种基于梯形连续区间有序加权平均算子的方法。该方法首先定义梯形灰色随机数描述不完全确定的准则值;然后根据基本单位区间单调函数的性质拓展连续区间有序加权平均算子形成梯形连续区间有序加权平均算子;再利用梯形连续区间有序加权平均算子集结梯形灰色随机数;通过规范化决策矩阵和目标权重向量得到各方案的综合评价值;最后确定各方案的排序。算例结果验证了该方法的有效性和可行性。
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| 关 键 词： | 灰色随机多准则 决策 梯形灰色随机数 梯形连续区间 有序加权平均算子 基本单位区间 单调函数 |
Grey-stochastic multi-criterion decision-making method based on extended operator |
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| REN Jian,GAO Yang. Grey-stochastic multi-criterion decision-making method based on extended operator[J]. Computer Integrated Manufacturing Systems, 2010, 16(2) |
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| Authors: | REN Jian GAO Yang |
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| Affiliation: | 1.School of Business/a>;Central South University/a>;Changsha 410083/a>;China/a>;2.Normal School of Science Technology/a>;Hunan Agriculture University/a>;Changsha 410128/a>;China |
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| Abstract: | To solve the Grey-Stochastic Multi-Criterion Decision-Making (GSMCDM) problems with the criterion weights evaluated interval numbers and the alternatives evaluated Trapezoidal Grey-Stochastic Numbers (TGSN) on the criterion,a new method based on the Trapezoidal Continuous-interval-argument Ordered Weighted Averaging (TC-OWA) operator was designed. In this method,the TGSN was firstly defined to describe the incomplete certain evaluations of the alternatives on the criterion. On the other hand,according to th... |
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| Keywords: | grey-stochastic multi-criterion decision-making trapezoidal grey-stochastic number trapezoidal continuous-interval-argument ordered weighted averaging operator basic unit-interval monotonic function |
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