In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new...In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new definition of fuzzy H-continuous [1] which is called HB-continuity on the basis of the notion of H-bounded L-subsets in L-topological space. Then we give characterizations and properties by making use of HB-converges theory of L-molecular nets and L-ideals.展开更多
A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and it...A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented, An iterative algorithm for approximating the solutions of generalized implicit wriational- like inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved,展开更多
We introduced a new class of fuzzy set-valued variational inclusions with (H,η)-monotone mappings. Using the resolvent operator method in Hilbert spaces, we suggested a new proximal point algorithm for finding approx...We introduced a new class of fuzzy set-valued variational inclusions with (H,η)-monotone mappings. Using the resolvent operator method in Hilbert spaces, we suggested a new proximal point algorithm for finding approximate solutions, which strongly converge to the exact solution of a fuzzy set-valued variational inclusion with (H,η)-monotone. The results improved and generalized the general quasi-variational inclusions with fuzzy set-valued mappings proposed by Jin and Tian Jin MM, Perturbed proximal point algorithm for general quasi-variational inclusions with fuzzy set-valued mappings, OR Transactions, 2005, 9(3): 31-38, (In Chinese); Tian YX, Generalized nonlinear implicit quasi-variational inclusions with fuzzy mappings, Computers & Mathematics with Applications, 2001, 42: 101-108.展开更多
This paper is devoted to study the convergence of a new class of generalized system for variational inequalities.The results presented in this paper modify and improve the recent result announced by Chang.[S.S.Chang,H...This paper is devoted to study the convergence of a new class of generalized system for variational inequalities.The results presented in this paper modify and improve the recent result announced by Chang.[S.S.Chang,H.W.Joseph Lee,Generalzed system for relaxed cocoercive variational inequalities in Hilerbert space,doi:10.1016/j.aml.2006.04.017].展开更多
Steven Vickers将拓扑的方法与逻辑理论的结果相结合于专著《Topology via Logic》中建立了拓扑系统,并将这一理论应用于计算机理论的研究.本文借助于拓扑系统的思想和方法,以及Frame结构和Heyting代数的共有性质,以Heyting代数为主体...Steven Vickers将拓扑的方法与逻辑理论的结果相结合于专著《Topology via Logic》中建立了拓扑系统,并将这一理论应用于计算机理论的研究.本文借助于拓扑系统的思想和方法,以及Frame结构和Heyting代数的共有性质,以Heyting代数为主体建立了一种新型的代数系统—Heyting系统,建立了Heyting系统之间的恰当的联系方法—H-连续映射;给出了Heyting系统的H-空间化表示形式并对相关性质进行了讨论.本文的工作进一步丰富了Heyting代数的研究方法和拓扑系统的研究内容.展开更多
为缓解移动机器人同步定位与构图(Simultaneous Localization and Mapping,SLAM)在恶劣噪声干扰下存在估计精度低、不一致及鲁棒性差的问题,提出一种新颖的基于迭代无迹H_∞滤波的SLAM算法。所提算法将无迹变换融入到扩展H_∞滤波中,以...为缓解移动机器人同步定位与构图(Simultaneous Localization and Mapping,SLAM)在恶劣噪声干扰下存在估计精度低、不一致及鲁棒性差的问题,提出一种新颖的基于迭代无迹H_∞滤波的SLAM算法。所提算法将无迹变换融入到扩展H_∞滤波中,以此估计系统状态均值和协方差,无需推导Jacobian矩阵,避免了线性化误差积累,增强了算法的数值稳定性;此外,通过迭代更新方式,利用观测信息不断校正系统状态均值和协方差,进一步减小估计误差。在仿真实验中,在不同环境和不同噪声下对比分析所提算法、EKF-SLAM、UKF-SLAM及CEHF-SLAM。结果表明所提算法在不同恶劣噪声干扰下依然能保持高的估计精度和强鲁棒性,并能适应不同的环境,是一种有效且可行的SLAM算法。展开更多
文摘In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new definition of fuzzy H-continuous [1] which is called HB-continuity on the basis of the notion of H-bounded L-subsets in L-topological space. Then we give characterizations and properties by making use of HB-converges theory of L-molecular nets and L-ideals.
基金Project supported by the Key Science Foundation of Sichuan Education Department of China (No.2003A081)
文摘A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented, An iterative algorithm for approximating the solutions of generalized implicit wriational- like inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved,
基金the Natural Science Foundation of China (No. 10471151)the Educational Science Foundation of Chongqing (KJ051307).
文摘We introduced a new class of fuzzy set-valued variational inclusions with (H,η)-monotone mappings. Using the resolvent operator method in Hilbert spaces, we suggested a new proximal point algorithm for finding approximate solutions, which strongly converge to the exact solution of a fuzzy set-valued variational inclusion with (H,η)-monotone. The results improved and generalized the general quasi-variational inclusions with fuzzy set-valued mappings proposed by Jin and Tian Jin MM, Perturbed proximal point algorithm for general quasi-variational inclusions with fuzzy set-valued mappings, OR Transactions, 2005, 9(3): 31-38, (In Chinese); Tian YX, Generalized nonlinear implicit quasi-variational inclusions with fuzzy mappings, Computers & Mathematics with Applications, 2001, 42: 101-108.
基金This research is supported by National Natural Science Foundation of China(10871226)
文摘This paper is devoted to study the convergence of a new class of generalized system for variational inequalities.The results presented in this paper modify and improve the recent result announced by Chang.[S.S.Chang,H.W.Joseph Lee,Generalzed system for relaxed cocoercive variational inequalities in Hilerbert space,doi:10.1016/j.aml.2006.04.017].
文摘Steven Vickers将拓扑的方法与逻辑理论的结果相结合于专著《Topology via Logic》中建立了拓扑系统,并将这一理论应用于计算机理论的研究.本文借助于拓扑系统的思想和方法,以及Frame结构和Heyting代数的共有性质,以Heyting代数为主体建立了一种新型的代数系统—Heyting系统,建立了Heyting系统之间的恰当的联系方法—H-连续映射;给出了Heyting系统的H-空间化表示形式并对相关性质进行了讨论.本文的工作进一步丰富了Heyting代数的研究方法和拓扑系统的研究内容.
文摘为缓解移动机器人同步定位与构图(Simultaneous Localization and Mapping,SLAM)在恶劣噪声干扰下存在估计精度低、不一致及鲁棒性差的问题,提出一种新颖的基于迭代无迹H_∞滤波的SLAM算法。所提算法将无迹变换融入到扩展H_∞滤波中,以此估计系统状态均值和协方差,无需推导Jacobian矩阵,避免了线性化误差积累,增强了算法的数值稳定性;此外,通过迭代更新方式,利用观测信息不断校正系统状态均值和协方差,进一步减小估计误差。在仿真实验中,在不同环境和不同噪声下对比分析所提算法、EKF-SLAM、UKF-SLAM及CEHF-SLAM。结果表明所提算法在不同恶劣噪声干扰下依然能保持高的估计精度和强鲁棒性,并能适应不同的环境,是一种有效且可行的SLAM算法。