| Fuzzy测度的Egoroff定理与一致逆自连续性 |
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| 引用本文： | 焦斌.Fuzzy测度的Egoroff定理与一致逆自连续性[J].河北大学学报(自然科学版),1995(1). |
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| 作者姓名： | 焦斌 |
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| 作者单位： | Department of Mathematics，Hebei University，Baoding 071002 |
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| 摘 要： | 本文给出了一般Ｆｕｚｚｙ测度的Ｅｇｏｒｏｆｆ定理引入了Ｆｕｚｚｙ测度的弱（Ｓ）性和一致逆自连续的概念，对具有弱（Ｓ）性的Ｆｕｚｚｙ测度，讨论了绝对连续性的一些等价命题，最后研究了绝对连续性和Ｆ－绝对连续性之间的关系。
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| 关 键 词： | Fuzzy测度，一致自连续，绝对连续 |
On Egoroff’s Theorm in Fuzzy Measure Space and Uniformly Coverse-Autocontinuity of Measure |
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| Jiao Bin.On Egoroff’s Theorm in Fuzzy Measure Space and Uniformly Coverse-Autocontinuity of Measure[J].Journal of Hebei University (Natural Science Edition),1995(1). |
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| Authors: | Jiao Bin |
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| Abstract: | n this paper, we prove Egoroff’s theorm in fuzzv measure space,intro-duce the concepts of weak property(S)and uniformly coverse-autocontinuity of meas-ure. For the fuzzy measure which have weak property(S),We show some equivalentproperties of absolute continuity.At last,we study the relationship between absolute con-tinuity and fuzzy absolute continuity. |
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| Keywords: | Fuzzy measure Absolute continuity Fuzzy absolute continuity |
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