The theory of the concept lattice is an efficient tool for knowledge representation and knowledge discovery, and is applied to many fields successfully. One focus of knowledge discovery is knowledge reduction. This pa...The theory of the concept lattice is an efficient tool for knowledge representation and knowledge discovery, and is applied to many fields successfully. One focus of knowledge discovery is knowledge reduction. This paper proposes the theory of attribute reduction in the concept lattice, which extends the theory of the concept lattice. In this paper, the judgment theorems of consistent sets are examined, and the discernibility matrix of a formal context is introduced, by which we present an approach to attribute reduction in the concept lattice. The characteristics of three types of attributes are analyzed.展开更多
The theory of concept lattices is an efficient tool for knowledge representation and knowledge discovery, and is applied to many fields successfully. One focus of knowledge discovery is knowledge reduction. Based on t...The theory of concept lattices is an efficient tool for knowledge representation and knowledge discovery, and is applied to many fields successfully. One focus of knowledge discovery is knowledge reduction. Based on the reduction theory of classical formal context, this paper proposes the definition of decision formal context and its reduction theory, which extends the reduction theory of concept lattices. In this paper, strong consistence and weak consistence of decision formal context are defined respectively. For strongly consistent decision formal context, the judgment theorems of consistent sets are examined, and approaches to reduction are given. For weakly consistent decision formal context, implication mapping is defined, and its reduction is studied. Finally, the relation between reducts of weakly consistent decision formal context and reducts of implication mapping is discussed.展开更多
The studies of bionics reveal that some aquatic animals and winged insects have developed an unsmoothed surface possessing good characteristics of drag reduction. In this paper, four types of bionic surfaces, placoid-...The studies of bionics reveal that some aquatic animals and winged insects have developed an unsmoothed surface possessing good characteristics of drag reduction. In this paper, four types of bionic surfaces, placoid-shaped, V-shaped, rib- let-shaped, and ridge-shaped grooved surfaces, are employed as the microchannel surfaces for the purpose of reducing pressure loss. Lattice Boltzmann Method （LBM）, a new numerical approach on mescoscopic level, is used to conduct the numerical investigationsr. The results show that the micro-grooved surfaces possess the drag reduction performance. The existence of the vortices formed within the grooves not only decrease the shear force between fluid and wall but also minimize the contact area between fluid and walls, which can lead to a reduction of pressure loss. The drag reduction coefficient （η） for these four types of micro-structures could be generalized as follows： ηridge_shaped 〉 ηv-shaped 〉 ηplacoid-shaped 〉 ηriblet-shaped. Besides, the geometrical optimizations for the ridge-shaped grooves, which have the highest drag reduction performance, are performed as well. The results suggest that, for the purpose of drag reduction, the ridge-shaped grooves with smaller width to height ratio are recommended for the lower Reynolds number flow, while the ridge-shaped grooves with larger width to height ratio are be more suitable for the larger Reynolds number flow.展开更多
Metal-organic frameworks(MOFs)and MOF-derived materials have attracted great attention as alternatives to noble-metal based electrocatalysts owing to their intriguing structure properties,especially for high efficienc...Metal-organic frameworks(MOFs)and MOF-derived materials have attracted great attention as alternatives to noble-metal based electrocatalysts owing to their intriguing structure properties,especially for high efficiency and stable oxygen reduction reaction(ORR).Herein,we employed a one-pot reaction to make a multimetal(Fe,Co,Cu,and Zn)mixed zeolitic imidazolate framework(MM-ZIF)via adopting a simple in situ redox reaction.Further pyrolysis of the target MM-ZIF,a highly porous carbon polyhedron(FC-C@NC)grafted with abundant carbon nanotubes was obtained,in which ultrasmall Co nanoparticles with partial lattice sites substituted by Fe and Cu were embedded.The obtained FC-C@NC possessed large surface area,highly porous structure,widely-spread metal active sites,and conductive carbon frameworks,contributing to outstanding ORR activity and long-term stability.It displayed superior tolerance to methanol crossover and exceeded the commercial Pt/C catalyst and most previously reported non-noble-metal catalysts.Impressively,the as-produced FC-C@NC-based zinc-air battery afforded an open-circuit potential of 1.466 V,a large specific capacity of 659.5 mAh/g,and a high gravimetric energy density of 784.3 Wh/kgZn,significantly outperforming the Pt/C-based cathode.展开更多
基金This work was supported by the National 973 Program of China(Grant No．2002CB3 1 2200)the National Natural Science Foundation of China(Grant No．60373038) the Natural Scientific Research Project ofthe Education Department ofShaanxi Province in China(Grant No．04JK131)．
文摘The theory of the concept lattice is an efficient tool for knowledge representation and knowledge discovery, and is applied to many fields successfully. One focus of knowledge discovery is knowledge reduction. This paper proposes the theory of attribute reduction in the concept lattice, which extends the theory of the concept lattice. In this paper, the judgment theorems of consistent sets are examined, and the discernibility matrix of a formal context is introduced, by which we present an approach to attribute reduction in the concept lattice. The characteristics of three types of attributes are analyzed.
基金the National 973 Program of China (Grant No.2002CB312200)the National Natural Science Foundation of China (Grant Nos.60703117, 60433010 and 60673096)the Doctor Research Fund of Northwest University in China
文摘The theory of concept lattices is an efficient tool for knowledge representation and knowledge discovery, and is applied to many fields successfully. One focus of knowledge discovery is knowledge reduction. Based on the reduction theory of classical formal context, this paper proposes the definition of decision formal context and its reduction theory, which extends the reduction theory of concept lattices. In this paper, strong consistence and weak consistence of decision formal context are defined respectively. For strongly consistent decision formal context, the judgment theorems of consistent sets are examined, and approaches to reduction are given. For weakly consistent decision formal context, implication mapping is defined, and its reduction is studied. Finally, the relation between reducts of weakly consistent decision formal context and reducts of implication mapping is discussed.
基金国家重点基础研究发展规划(973)(the National Grand Fundamental Research 973 Program of China under Grant No.2002CB312200)国家自然科学基金(the National Natural Science Foundation of China under Grant No.60703117)
文摘The studies of bionics reveal that some aquatic animals and winged insects have developed an unsmoothed surface possessing good characteristics of drag reduction. In this paper, four types of bionic surfaces, placoid-shaped, V-shaped, rib- let-shaped, and ridge-shaped grooved surfaces, are employed as the microchannel surfaces for the purpose of reducing pressure loss. Lattice Boltzmann Method （LBM）, a new numerical approach on mescoscopic level, is used to conduct the numerical investigationsr. The results show that the micro-grooved surfaces possess the drag reduction performance. The existence of the vortices formed within the grooves not only decrease the shear force between fluid and wall but also minimize the contact area between fluid and walls, which can lead to a reduction of pressure loss. The drag reduction coefficient （η） for these four types of micro-structures could be generalized as follows： ηridge_shaped 〉 ηv-shaped 〉 ηplacoid-shaped 〉 ηriblet-shaped. Besides, the geometrical optimizations for the ridge-shaped grooves, which have the highest drag reduction performance, are performed as well. The results suggest that, for the purpose of drag reduction, the ridge-shaped grooves with smaller width to height ratio are recommended for the lower Reynolds number flow, while the ridge-shaped grooves with larger width to height ratio are be more suitable for the larger Reynolds number flow.
基金This study was financially supported by the Natural Science Foundation of China(Grant no.51825201 and 51772008)the National Key Research and Development Program of China(Grant no.2017YFA0206701)National Program for Support of Top-notch Young Professionals,and Changjiang Scholar Program.
文摘Metal-organic frameworks(MOFs)and MOF-derived materials have attracted great attention as alternatives to noble-metal based electrocatalysts owing to their intriguing structure properties,especially for high efficiency and stable oxygen reduction reaction(ORR).Herein,we employed a one-pot reaction to make a multimetal(Fe,Co,Cu,and Zn)mixed zeolitic imidazolate framework(MM-ZIF)via adopting a simple in situ redox reaction.Further pyrolysis of the target MM-ZIF,a highly porous carbon polyhedron(FC-C@NC)grafted with abundant carbon nanotubes was obtained,in which ultrasmall Co nanoparticles with partial lattice sites substituted by Fe and Cu were embedded.The obtained FC-C@NC possessed large surface area,highly porous structure,widely-spread metal active sites,and conductive carbon frameworks,contributing to outstanding ORR activity and long-term stability.It displayed superior tolerance to methanol crossover and exceeded the commercial Pt/C catalyst and most previously reported non-noble-metal catalysts.Impressively,the as-produced FC-C@NC-based zinc-air battery afforded an open-circuit potential of 1.466 V,a large specific capacity of 659.5 mAh/g,and a high gravimetric energy density of 784.3 Wh/kgZn,significantly outperforming the Pt/C-based cathode.
