| Fuzzy数集上的度量结构 |
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| 引用本文： | 金晨辉,王德谋.Fuzzy数集上的度量结构[J].首都师范大学学报(自然科学版),1989,10(3):1-9. |
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| 作者姓名： | 金晨辉 王德谋 |
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| 作者单位： | 北京师范学院数学系
(金晨辉)，北京师范学院数学系(王德谋) |
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| 摘 要： | 在对fuzzy数稍加限制后,本文定义了一种新的度量,这种度量用积分表示并引入了权函数,因此应用方便且更为合理。fuzzy数集中这一种度量结构除具有myope拓朴所保持的实数集的重要性质外,还真有其它好的性质。
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| 关 键 词： | fuzzy数 h-fuzzy数 函数对 度量结构 权函数 |
A Metric Structure on the Set of Fuzzy Numbers |
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| Jin Chenhui Wang Demou.A Metric Structure on the Set of Fuzzy Numbers[J].Journal of Capital Normal University(Natural Science Edition),1989,10(3):1-9. |
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| Authors: | Jin Chenhui Wang Demou |
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| Institution: | Department of Mathematics |
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| Abstract: | With a weak restriction to fuzzy numbers, We introduce a new metric which can be expressed by an integral as well as introduce a weight function. It is convenient and reasonable in application. Besides having some important properties of real number set, which myope topology possesses, in fuzzy number set, it has other good properties. |
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| Keywords: | fuzzy number h-fuzzy number function pair metric structure weight function |
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