It is proved that rough set is equivalent to non-measurable set in measure theory. Hence, rough set is not a new concept in some sense. At the same time, we defined the measurable degree of a set by inner measure and ...It is proved that rough set is equivalent to non-measurable set in measure theory. Hence, rough set is not a new concept in some sense. At the same time, we defined the measurable degree of a set by inner measure and outer measure. Its special case is the accuracy measure of rough set.展开更多
A fusion prediction method is introduced on the basis of attribute clustering network and radial basis functions. An algorithm of quasi-self organization for developing the model for the fusion prediction is introduce...A fusion prediction method is introduced on the basis of attribute clustering network and radial basis functions. An algorithm of quasi-self organization for developing the model for the fusion prediction is introduced. Some simulation results for chaotic time series are presented to show the performance of the method.展开更多
To attenuate white noise, nonstationary noise and impulse noise are important for signal processing. In this letter, we present nonlinear fusion filters (NFF) based on prediction and smoothing. By means of least squar...To attenuate white noise, nonstationary noise and impulse noise are important for signal processing. In this letter, we present nonlinear fusion filters (NFF) based on prediction and smoothing. By means of least square fitting of a polynomial, we define and give the operators of left prediction and right prediction, left smoothing and right smoothing, central smoothing and cross-validation smoothing. In simulated experiments, it is shown that the present method is an effective one.展开更多
文摘It is proved that rough set is equivalent to non-measurable set in measure theory. Hence, rough set is not a new concept in some sense. At the same time, we defined the measurable degree of a set by inner measure and outer measure. Its special case is the accuracy measure of rough set.
基金This work was supported by the National Natural Science Foundation of China (Grant Nos. 69872003 and 40035010).
文摘A fusion prediction method is introduced on the basis of attribute clustering network and radial basis functions. An algorithm of quasi-self organization for developing the model for the fusion prediction is introduced. Some simulation results for chaotic time series are presented to show the performance of the method.
文摘To attenuate white noise, nonstationary noise and impulse noise are important for signal processing. In this letter, we present nonlinear fusion filters (NFF) based on prediction and smoothing. By means of least square fitting of a polynomial, we define and give the operators of left prediction and right prediction, left smoothing and right smoothing, central smoothing and cross-validation smoothing. In simulated experiments, it is shown that the present method is an effective one.
