| 基于模糊距离的模糊数的排序及应用 |
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| 引用本文： | 顾翠伶,王亚子,贾利新.基于模糊距离的模糊数的排序及应用[J].河南教育学院学报(自然科学版),2014(1):17-21. |
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| 作者姓名： | 顾翠伶 王亚子 贾利新 |
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| 作者单位： | [1] 周口师范学院数学与统计学院,河南周口466000 [2] 信息工程大学理学院,河南郑州450000 |
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| 基金项目： | 周口师范学院青年科学基金重点资助项目（ZKSYQN201310B）;国家自然基金委一河南省人民政府人才培养联合基金项（U1204618） |
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| 摘 要： | 引用模糊数之间的模糊距离,结合模糊数的权重面积,建立一种基于模糊距离的模糊数的排序方法,数值例子说明了排序指标的合理性;排序结果与已有的排序方法进行比较,说明方法的优越性.将该方法用于解决具体的模糊多属性决策问题,进一步验证该排序方法的合理性与有效性.
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| 关 键 词： | 模糊数 模糊距离 权重面积 多属性决策 |
Ranking Fuzzy Numbers Based on Fuzzy Distance |
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| GU Cui-ling,WANG Ya-zi,JIA Li-xin.Ranking Fuzzy Numbers Based on Fuzzy Distance[J].Journal of Henan Education Institute(Natural Science Edition),2014(1):17-21. |
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| Authors: | GU Cui-ling WANG Ya-zi JIA Li-xin |
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| Institution: | 2 College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466000, China; 2. School of Science, Information Technology University, Zhengzhou 450000, China) |
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| Abstract: | A new ranking indicator of fuzzy numbers is established based on the distance measure and the diver- gence of fuzzy numbers. Numerical examples are displayed to illustrate the validity and advantages of the new pro- posed ranking method. Comparisons with other methods are provided in the concluding tables to prove the new method＇ s advantage. The ranking of fuzzy numbers is applied to the model of fuzzy multi-attribute decision-mak- ing, thus further explains the rationality and effectiveness of the new approach. |
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| Keywords: | fuzzy number fuzzy distance divergence multi-attribute decision-making |
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