| 函数粗集生成的粗积分(英文) |
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| 引用本文： | 于秀清,徐凤生. 函数粗集生成的粗积分(英文)[J]. 数学季刊, 2011, 0(2): 296-299 |
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| 作者姓名： | 于秀清 徐凤生 |
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| 作者单位： | Department of Mathematics;Dezhou College; |
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| 基金项目： | Supported by the Natural Science Foundation of Shandong Province(ZR2010AL019); Supported by the Education Science Foundation of Shandong Province(2010JZ123) |
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| 摘 要： | The concepts of the lower approximation integral,the upper approximation integral and rough integrals are given on the basis of function rough sets.Based on these concepts,the relation of the lower approximation integrals,the relation of the upper approximation integrals,the relation of rough integrals,and the double median theorem of rough integrals are discussed.Rough integrals have finite contraction characteristic and finite extension characteristic.
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| 关 键 词： | function rough sets the lower approximation integral the upper approximation integral rough integrals |
Rough Integrals Generated by Function Rough Sets |
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| YU Xiu-qing,XU Feng-sheng. Rough Integrals Generated by Function Rough Sets[J]. Chinese Quarterly Journal of Mathematics, 2011, 0(2): 296-299 |
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| Authors: | YU Xiu-qing XU Feng-sheng |
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| Affiliation: | YU Xiu-qing,XU Feng-sheng(Department of Mathematics,Dezhou College,Dezhou 253014,China) |
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| Abstract: | The concepts of the lower approximation integral,the upper approximation integral and rough integrals are given on the basis of function rough sets.Based on these concepts,the relation of the lower approximation integrals,the relation of the upper approximation integrals,the relation of rough integrals,and the double median theorem of rough integrals are discussed.Rough integrals have finite contraction characteristic and finite extension characteristic. |
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| Keywords: | function rough sets the lower approximation integral the upper approximation integral rough integrals |
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