| 区间直觉模糊统计判决与决策 |
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| 引用本文： | 樊雷,雷英杰,段索力. 区间直觉模糊统计判决与决策[J]. 系统工程理论与实践, 2011, 31(9): 1790-1797. DOI: 10.12011/1000-6788(2011)9-1790 |
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| 作者姓名： | 樊雷 雷英杰 段索力 |
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| 作者单位： | 1. 空军工程大学教育技术中心, 西安 710051;2. 空军工程大学导弹学院, 三原 713800 |
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| 基金项目： | 国家自然科学基金(60773209); 陕西省自然科学基金(2006F18) |
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| 摘 要： | 针对统计判决与决策中存在的模糊性, 给出了模糊性区间直觉模糊集的描述方法. 首先, 给出了区间直觉模糊事件概率的概念; 其次, 在定义区间直觉模糊$t$模及$s$ 模的基础之上, 给出了区间直觉模糊事件概率所满足的基本性质, 证明了区间直觉模糊乘法定理、全概率公式和贝叶斯公式; 再次, 根据给出的区间直觉模糊概率的性质, 依据信息源类型的不同, 详细分析区间直觉模糊统计判决与决策的方法; 最后, 验证了该方法的有效性.
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| 关 键 词： | 区间直觉模糊集 区间直觉模糊概率 统计判决与决策 |
| 收稿时间： | 2010-01-08 |
Interval-valued intuitionistic fuzzy statistic adjudging and decision-making |
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| FAN Lei,LEI Ying-jie,DUAN Suo-li. Interval-valued intuitionistic fuzzy statistic adjudging and decision-making[J]. Systems Engineering —Theory & Practice, 2011, 31(9): 1790-1797. DOI: 10.12011/1000-6788(2011)9-1790 |
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| Authors: | FAN Lei LEI Ying-jie DUAN Suo-li |
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| Affiliation: | 1. Education Technology Center, Air Force Engineering University, Xi’an 710051, China;2. Missile Institute, Air Force Engineering University, Sanyuan 713800, China |
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| Abstract: | Handling fuzzy characteristics in statistic adjudging and decision-making by interval-valued intuitionistic fuzzy sets had been proposed in this paper.Firstly,the conception of interval-valued intuitionistic fuzzy events probability had been given;secondly,the conception of interval-valued intuitionistic fuzzy t-norm,s-norm had been proposed,the characteristics of interval-valued intuitionistic fuzzy events probability had been detailed testified and the theorems of multiplication,absolute probability and B... |
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| Keywords: | interval-valued intuitionistic fuzzy sets interval-valued intuitionistic fuzzy probability statistic adjudging and decision-making |
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