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F粗积分与它的度量(英文)
引用本文:于秀清,徐风生,韩忠月.F粗积分与它的度量(英文)[J].数学季刊,2011(3):440-444.
作者姓名:于秀清  徐风生  韩忠月
作者单位:Department of Mathematics;Dezhou University;
基金项目:Supported by the Shandong Province Natural Science Foundation-funded Projects(ZR2010AL019)
摘    要:F-rough integrals is defined on the basis of the dual of function one direction S-rough sets,which has dynamic characteristics.Using F-rough integrals,the concepts of expansion measurement-expansion degree and expansion ratio are given.By expansion degree and expansion ratio the changing extent can be expressed with numbers,and the recognition principle of attribute effect on function equivalences is got.

关 键 词:F-rough  integrals  dynamic  characteristics  measurement

F-Rough Integrals and Its Measurements
YU Xiu-qing,XU Feng-sheng,HAN Zhong-yue.F-Rough Integrals and Its Measurements[J].Chinese Quarterly Journal of Mathematics,2011(3):440-444.
Authors:YU Xiu-qing  XU Feng-sheng  HAN Zhong-yue
Institution:YU Xiu-qing,XU Feng-sheng,HAN Zhong-yue (Department of Mathematics,Dezhou University,Dezhou 253023,China)
Abstract:F-rough integrals is defined on the basis of the dual of function one direction S-rough sets,which has dynamic characteristics.Using F-rough integrals,the concepts of expansion measurement-expansion degree and expansion ratio are given.By expansion degree and expansion ratio the changing extent can be expressed with numbers,and the recognition principle of attribute effect on function equivalences is got.
Keywords:F-rough integrals  dynamic characteristics  measurement  
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