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F-Rough Integrals and Its Measurements

F-Rough Integrals and Its Measurements
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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.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第3期440-444,共5页 数学季刊(英文版)
基金 Supported by the Shandong Province Natural Science Foundation-funded Projects(ZR2010AL019)
关键词 F-rough integrals dynamic characteristics MEASUREMENT F 不平的积分;动态特征;测量;
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参考文献4

  • 1SHI Kai-quan. Function singular rough sets and function transfer[J]. International Journal Advances in Systems Science and Applications, 2005, 5(1): 1-8.
  • 2SHI Kai-quan. S-rough sets and its application in diagnosis recognition for disease[J]. IEEE Proceedings of the First International Conference on Machine Learning and Cybernetics, 2002, 1(1): 50-54.
  • 3SHI Kai-quan, ZHANF Ting-cheng. One direction S-rough sets[J]. International Journal of Fuzzy Mathe- matics, 2005, 3(12): 319-334.
  • 4YU Xiu-qing, ZHANG Yue-yun, SHI Kai-quan. F-rough integrals generated by the dual of function one direction S-rough sets[J]. Liaocheng University Journal(Natural Science), 2007, 12(4): 15-19(in Chinese).

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