| Fuzzy数的扩张运算及其性质 |
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| 引用本文： | 刘道远.Fuzzy数的扩张运算及其性质[J].大学数学,1995(3). |
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| 作者姓名： | 刘道远 |
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| 作者单位： | 郑州航空工业管理学院 |
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| 摘 要： | 本文讨论了Ｆ数的扩张加法和扩张数乘运算的性质；并举反例说明这样的扩张运．算不能使Ｆ数全体Ｆ＊构成线性空间；最后对可列个Ｆ数的运算进行了讨论．
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| 关 键 词： | F数，扩张运数，线性空间 |
The Extension Operations and its Properties of Fuzzy Numbers |
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| Liu Daoyuan.The Extension Operations and its Properties of Fuzzy Numbers[J].College Mathematics,1995(3). |
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| Authors: | Liu Daoyuan |
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| Institution: | Zhengzhou Aeronautrial Institute of Industrial Management |
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| Abstract: | In this paper,the properties of the extension operations of addition and multiplication (with real scalars)of fuzzy numbers are investigated. By means of inverse examples,it is shown that these extension operations don't make the set of the whole fuzzy numbers a linear space. Finally,Some properties of the Operations of sequences of fuzzy number are given. |
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| Keywords: | Fuzzy number Extension operations Linear spaces |
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