In China,approximately,4.41 million individuals sustain fractures every year.With the rapid development of economy,industrialization,and urbanization as well as the aging of the Chinese population,it is predictable th...In China,approximately,4.41 million individuals sustain fractures every year.With the rapid development of economy,industrialization,and urbanization as well as the aging of the Chinese population,it is predictable that the number of traumatic fractures will inevitably increase dramatically in the near future.According to the nation-wide data on the clinical epidemiology of orthopedic trauma during 2010-2011,展开更多
This paper deals with reductions of ideals in various settings of pullback constructions.Precisely,we investigate reductions of several types of ideals in both generic and classical pullbacks.We also characterize pull...This paper deals with reductions of ideals in various settings of pullback constructions.Precisely,we investigate reductions of several types of ideals in both generic and classical pullbacks.We also characterize pullbacks where reductions of a class of ideals extend to reductions of their respective extended ideals.All results are illustrated with original examples.展开更多
Several strategies for the minimal attribute reduction with polynomial time complexity (O(nk)) have been developed in rough set theory. Are they complete? While investigating the attribute reduction strategy based on ...Several strategies for the minimal attribute reduction with polynomial time complexity (O(nk)) have been developed in rough set theory. Are they complete? While investigating the attribute reduction strategy based on the discernibility matrix (DM),a counterexample is constructed theoretically, which demonstrates that these strategies are all incomplete with respect to the minimal reduction.展开更多
文摘In China,approximately,4.41 million individuals sustain fractures every year.With the rapid development of economy,industrialization,and urbanization as well as the aging of the Chinese population,it is predictable that the number of traumatic fractures will inevitably increase dramatically in the near future.According to the nation-wide data on the clinical epidemiology of orthopedic trauma during 2010-2011,
文摘This paper deals with reductions of ideals in various settings of pullback constructions.Precisely,we investigate reductions of several types of ideals in both generic and classical pullbacks.We also characterize pullbacks where reductions of a class of ideals extend to reductions of their respective extended ideals.All results are illustrated with original examples.
文摘Several strategies for the minimal attribute reduction with polynomial time complexity (O(nk)) have been developed in rough set theory. Are they complete? While investigating the attribute reduction strategy based on the discernibility matrix (DM),a counterexample is constructed theoretically, which demonstrates that these strategies are all incomplete with respect to the minimal reduction.