| 论模糊性 |
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| 引用本文： | 陈国祯.论模糊性[J].重庆交通大学学报(自然科学版),1989,8(3):15-25. |
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| 作者姓名： | 陈国祯 |
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| 作者单位： | 不详 |
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| 摘 要： | Yager在1980年首先注意到模糊性的数学定义。本文指出,他的定义并不太成功。我们在半序集上给出了模糊性的新定义。并把模糊度作为模糊性的相容非负实数表示来重新定义。相应地、提出了模糊集的模糊性和模糊度的概念。讨论了它们的一些性质。 许多作者(1972-)都致力于用一些公设来界定模糊度、或者研究在一些公设下模糊度的表示形式。按照本文的观点,这些公设都是模糊度的自然推论。事实将证明,用模糊性来定义模糊度比之用公设来定义熵或模糊性测度要深刻得多。
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| 关 键 词： | 糊模性的数学定义 模糊程度 模糊集的模糊性 模糊集的模糊度 |
On Fuzziness |
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| Abstract: | Yager (1930) was the first to consider the mathematical definition of fuzziness. His definition is not achieved for a general lattice. A "good" definition is required. In this paper, the fuzziness is newly defined on the poset. We also introduce some related concepts such as measure of fuzziness, fuzziness of fuzzy set, and measure of fuzziness of fuzzy set, and investigate their properties in detail. |
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| Keywords: | mathematical definition of fuzziness measure of fuzziness fuzziness of fuzzy set measure of fuzziness of fuzzy set |
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