| 算术半格的信息系统表示 |
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| 引用本文： | 张清霞,李庆国.算术半格的信息系统表示[J].模糊系统与数学,2020,34(1):163-170. |
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| 作者姓名： | 张清霞 李庆国 |
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| 作者单位： | 湖南大学数学与计量经济学院,湖南长沙410082 |
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| 摘 要： | 本文给出了算术信息系统的概念,证明了算术信息系统是算术半格的表示。基于算术信息系统之间的逼近映射,我们得到了算术信息系统范畴和算术半格范畴之间的范畴等价。
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| 关 键 词： | 算术半格 算术信息系统 范畴等价 |
A Representation of Arithmetic Semilattices by Information Systems |
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| ZHANG Qing-xia,LI Qing-guo.A Representation of Arithmetic Semilattices by Information Systems[J].Fuzzy Systems and Mathematics,2020,34(1):163-170. |
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| Authors: | ZHANG Qing-xia LI Qing-guo |
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| Institution: | (College of Mathematics and Econometrics,Hunan University,Changsha 410082,China) |
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| Abstract: | In this paper, we introduce the notion of the arithmetic information system, we prove that the arithmetic information system represent the arithmetic semilattice. Moreover, based on the notion of approximable mappings between the arithmetic information system, we show that the category of arithmetic information systems is equivalent to that of arithmetic semilattices. |
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| Keywords: | Arithmetic Semilattice Arithmetic Information System Category Equivalence |
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