针对移动机器人寻找最优路径问题,提出了一种融合无标度网络、自适应权重和黄金正弦算法变异策略的樽海鞘群算法BAGSSA(Adaptive Salp Swarm Algorithm with Scale-free of BA Network and Golden Sine)。首先,生成一个无标度网络来映...针对移动机器人寻找最优路径问题,提出了一种融合无标度网络、自适应权重和黄金正弦算法变异策略的樽海鞘群算法BAGSSA(Adaptive Salp Swarm Algorithm with Scale-free of BA Network and Golden Sine)。首先,生成一个无标度网络来映射跟随者的关系,增强算法全局寻优的能力,在追随者进化过程中集成自适应权重ω,以实现算法探索和开发的平衡;同时选用黄金正弦算法变异进一步提高解的精度。其次,对12个基准函数进行仿真求解,实验数据表明平均值、标准差、Wilcoxon检验和收敛曲线均优于基本樽海鞘群和其他群体智能算法,证明了所提算法具有较高的寻优精度和收敛速度。最后,将BAGSSA应用于移动机器人路径规划问题中,并在两种测试环境中进行仿真实验,仿真结果表明,改进樽海鞘群算法较其他算法所寻路径更优,并具有一定理论与实际应用价值。展开更多
The primary objective of this study is to apply the Evaluation Grid Method(EGM)and the continuous fuzzy Kano quality model to explore the cognitive preferences of Taiwan China residents regarding the beauty of Taiwan...The primary objective of this study is to apply the Evaluation Grid Method(EGM)and the continuous fuzzy Kano quality model to explore the cognitive preferences of Taiwan China residents regarding the beauty of Taiwan’s China landscape paintings.The aim is to contribute to the development of social and cultural art and promote the widespread appeal of art products.Through a literature review,consultations with aesthetic experts,and the application of Miryoku Engineering’s EGM,this paper consolidates the factors that contribute to the attractiveness of painting art products among Taiwan China residents,taking into account various aesthetic qualities.Simultaneously,the paper introduces the use of the triangular fuzzy golden ratio scale semantics,specifically the equal-ratio aesthetic scale semantics,as a replacement for the traditional subjective consciousness model.Departing from the traditional discrete Kano model that employs the mode as the standard for evaluating quality,this study applies triangular fuzzy numbers to the continuous Kano quality model to analyze the diverse preferences and evaluation standards of the public.The hope is that this research methodology will not only deepen Taiwan China residents’understanding and aesthetic literacy of painting art but also serve as a reference for the popularization of art products.展开更多
提出一种基于形态特征的月季单株植株建模及大规模园林场景模拟方法。精确采集月季植株各主要器官的真实形态数据;对这些数据特征进行深入分析,获取诸如黄金分割等形态特性;以这些特性为基础建立单株植株主枝与各层分枝间、枝与叶间的...提出一种基于形态特征的月季单株植株建模及大规模园林场景模拟方法。精确采集月季植株各主要器官的真实形态数据;对这些数据特征进行深入分析,获取诸如黄金分割等形态特性;以这些特性为基础建立单株植株主枝与各层分枝间、枝与叶间的拓扑关系,同时模拟茎、叶、花、刺等各器官以生成完整的植株;通过基于角策略的Poisson Disk Tiles分布模型生成大规模园林月季场景。实验结果表明:算法能够真实、有效地生成多种不同形态的单株月季植株并模拟大规模园林月季场景,具有广泛应用价值和广阔发展前景。展开更多
Realizing the physical reality of ‘tHooft’s self similar and dimensionaly regularized fractal-like spacetime as well as being inspired by a note worthy anecdote involving the great mathematician of Alexandria, Pytha...Realizing the physical reality of ‘tHooft’s self similar and dimensionaly regularized fractal-like spacetime as well as being inspired by a note worthy anecdote involving the great mathematician of Alexandria, Pythagoras and the larger than life man of theoretical physics Einstein, we utilize some deep mathematical connections between equivalence classes of equivalence relations and E-infinity theory quotient space. We started from the basic principles of self similarity which came to prominence in science with the advent of the modern theory of nonlinear dynamical systems, deterministic chaos and fractals. This fundamental logico-mathematical thread related to partially ordered sets is then applied to show how the classical Newton’s kinetic energy E = 1/2mv<sup>2</sup> leads to Einstein’s celebrated maximal energy equation E = mc<sup>2</sup> and how in turn this can be dissected into the ordinary energy density E(O) = mc<sup>2</sup>/22 and the dark energy density E(D) = mc<sup>2</sup>(21/22) of the cosmos where m is the mass;v is the velocity and c is the speed of light. The important role of the exceptional Lie symmetry groups and ‘tHooft-Veltman-Wilson dimensional regularization in fractal spacetime played in the above is also highlighted. The author hopes that the unusual character of the analysis and presentation of the present work may be taken in a positive vein as seriously attempting to propose a different and new way of doing theoretical physics by treating number theory, set theory, group theory, experimental physics as well as conventional theoretical physics on the same footing and letting all these diverse tools lead us to the answer of fundamental questions without fear of being labelled in one way or another.展开更多
文摘针对移动机器人寻找最优路径问题,提出了一种融合无标度网络、自适应权重和黄金正弦算法变异策略的樽海鞘群算法BAGSSA(Adaptive Salp Swarm Algorithm with Scale-free of BA Network and Golden Sine)。首先,生成一个无标度网络来映射跟随者的关系,增强算法全局寻优的能力,在追随者进化过程中集成自适应权重ω,以实现算法探索和开发的平衡;同时选用黄金正弦算法变异进一步提高解的精度。其次,对12个基准函数进行仿真求解,实验数据表明平均值、标准差、Wilcoxon检验和收敛曲线均优于基本樽海鞘群和其他群体智能算法,证明了所提算法具有较高的寻优精度和收敛速度。最后,将BAGSSA应用于移动机器人路径规划问题中,并在两种测试环境中进行仿真实验,仿真结果表明,改进樽海鞘群算法较其他算法所寻路径更优,并具有一定理论与实际应用价值。
文摘The primary objective of this study is to apply the Evaluation Grid Method(EGM)and the continuous fuzzy Kano quality model to explore the cognitive preferences of Taiwan China residents regarding the beauty of Taiwan’s China landscape paintings.The aim is to contribute to the development of social and cultural art and promote the widespread appeal of art products.Through a literature review,consultations with aesthetic experts,and the application of Miryoku Engineering’s EGM,this paper consolidates the factors that contribute to the attractiveness of painting art products among Taiwan China residents,taking into account various aesthetic qualities.Simultaneously,the paper introduces the use of the triangular fuzzy golden ratio scale semantics,specifically the equal-ratio aesthetic scale semantics,as a replacement for the traditional subjective consciousness model.Departing from the traditional discrete Kano model that employs the mode as the standard for evaluating quality,this study applies triangular fuzzy numbers to the continuous Kano quality model to analyze the diverse preferences and evaluation standards of the public.The hope is that this research methodology will not only deepen Taiwan China residents’understanding and aesthetic literacy of painting art but also serve as a reference for the popularization of art products.
文摘提出一种基于形态特征的月季单株植株建模及大规模园林场景模拟方法。精确采集月季植株各主要器官的真实形态数据;对这些数据特征进行深入分析,获取诸如黄金分割等形态特性;以这些特性为基础建立单株植株主枝与各层分枝间、枝与叶间的拓扑关系,同时模拟茎、叶、花、刺等各器官以生成完整的植株;通过基于角策略的Poisson Disk Tiles分布模型生成大规模园林月季场景。实验结果表明:算法能够真实、有效地生成多种不同形态的单株月季植株并模拟大规模园林月季场景,具有广泛应用价值和广阔发展前景。
文摘Realizing the physical reality of ‘tHooft’s self similar and dimensionaly regularized fractal-like spacetime as well as being inspired by a note worthy anecdote involving the great mathematician of Alexandria, Pythagoras and the larger than life man of theoretical physics Einstein, we utilize some deep mathematical connections between equivalence classes of equivalence relations and E-infinity theory quotient space. We started from the basic principles of self similarity which came to prominence in science with the advent of the modern theory of nonlinear dynamical systems, deterministic chaos and fractals. This fundamental logico-mathematical thread related to partially ordered sets is then applied to show how the classical Newton’s kinetic energy E = 1/2mv<sup>2</sup> leads to Einstein’s celebrated maximal energy equation E = mc<sup>2</sup> and how in turn this can be dissected into the ordinary energy density E(O) = mc<sup>2</sup>/22 and the dark energy density E(D) = mc<sup>2</sup>(21/22) of the cosmos where m is the mass;v is the velocity and c is the speed of light. The important role of the exceptional Lie symmetry groups and ‘tHooft-Veltman-Wilson dimensional regularization in fractal spacetime played in the above is also highlighted. The author hopes that the unusual character of the analysis and presentation of the present work may be taken in a positive vein as seriously attempting to propose a different and new way of doing theoretical physics by treating number theory, set theory, group theory, experimental physics as well as conventional theoretical physics on the same footing and letting all these diverse tools lead us to the answer of fundamental questions without fear of being labelled in one way or another.