| 区间数相似度研究 |
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| 引用本文： | 许瑞丽,徐泽水.区间数相似度研究[J].数学的实践与认识,2007,37(24):1-8. |
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| 作者姓名： | 许瑞丽 徐泽水 |
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| 作者单位： | 解放军理工大学,理学院,南京,211101 |
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| 基金项目： | 中国博士后科学基金;国家自然科学基金 |
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| 摘 要： | 对区间数相似性问题进行了探讨.定义了区间数相似度的概念,给出了度量区间数相似度的一个简洁公式,详细研究了它的一些优良性质,如:自反性、对称性和传递性等,并且研究了区间数相似度公式与区间数排序的可能度公式之间的关系,从而为区间数的实际应用奠定了理论基础.
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| 关 键 词： | 区间数 相似度 可能度 |
| 修稿时间： | 2005年10月20 |
On Similarity Degrees of Interval Numbers |
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| XU Rui-li,XU Ze-shui.On Similarity Degrees of Interval Numbers[J].Mathematics in Practice and Theory,2007,37(24):1-8. |
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| Authors: | XU Rui-li XU Ze-shui |
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| Abstract: | The similarity of interval numbers is discussed.The concept of similarity degree of interval numbers is defined,and a simple formula is proposed for measuring the similarity degrees of interval numbers.Some desirable properties of the formula are studied in detail,including anti-reflexivity,symmetry and transitivity,etc.The relationship between the formula for measuring the similarity degree of two interval numbers and the formula for measuring the possibility degree of one interval number over another is also studied.Accordingly,a theoretic basis has been developed for the actual application of interval numbers. |
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| Keywords: | interval number similarity degree possibility degree |
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