| 模糊数的小于关系的度量 |
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| 引用本文： | 李丽霞,蔡习宁,李法朝,苏连青.模糊数的小于关系的度量[J].河北科技大学学报,2003,24(2):61-65. |
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| 作者姓名： | 李丽霞 蔡习宁 李法朝 苏连青 |
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| 作者单位： | 河北科技大学理学院,河北,石家庄,050018 |
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| 摘 要： | 在模糊数的应用领域中,需要将模糊数作为整体比较其差异,因此,建立比较模糊数的整体度量的指标是必需的。基于区间A小于区间B的程度<(A,B),借助于模糊集的λ-截集和勒贝格积分,笔者建立了一种从整体上衡量模糊数的小于关系的度量<(A,B),讨论了它们的基本性质,为进一步讨论模糊数的序结构作了必要的准备。
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| 关 键 词： | 模糊数 <(A B)度量 <(A B)度量 |
| 文章编号： | 1008-1542(2003)02-0061-05 |
| 修稿时间： | 2001年12月20 |
The Measure of Less-than Relation to Fuzzy Numbers |
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| LI Li-xia,CAI Xi-ning,LI Fa-chao,SU Lian-qing.The Measure of Less-than Relation to Fuzzy Numbers[J].Journal of Hebei University of Science and Technology,2003,24(2):61-65. |
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| Authors: | LI Li-xia CAI Xi-ning LI Fa-chao SU Lian-qing |
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| Abstract: | In the application fields of Fuzzy numbers, we need to compare their differences as a whole; therefore, it is essential to establish a target about global measure of fuzzy numbers. In this paper.based on a stage <(A.B) at which the interval A is less-than the interval B,we establish a new type of global measure of less-than relation to fuzzy numbers with the aid of a A~cutsets of fuzzy sets and lebesgue integral,discuss some of their basic properties,and make necessary preparations for further discussing the order structure of fuzzy numbers. |
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| Keywords: | fuzzy numbers |
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