【摘要】 云模型实现了定性概念与其定量表示之间的不确定转换。高斯分布与高斯隶属度函数的普适性奠定了高斯云模型的普适性,目前云模型的理论与应用研究主要集中在高斯云模型。将均匀分布引入到云模型中,扩展了高斯云模型,分别得到了均匀分布云模型和均匀高斯云模型,两类扩展的云模型为不确定性的形式化描述提供了新的途径。最后利用多维均匀高斯云模型模拟分形树生长过程,实验结果表明云模型能有效模拟自然界中不确定的分形现象。更多还原

【Abstract】 The cloud model has established the uncertain transformation between qualitative concepts and their quantitative description.The universality of Gauss distribution and Gauss membership function prepares the ground for the universality of Gauss cloud model,and up to now the theory of cloud model and its applied researches have mainly focused on Gauss cloud model.In this article the uniform distribution was introduced into cloud model and Gauss cloud model was extended,thus resulting in two models:uniformly distributed cloud model and uniform Gauss cloud model which offer a new way for uncertainty description.Finally,the multi-dimensional uniform Gauss cloud model was used to simulate the growth process of fractal tree.The result indicates that the cloud model can be used to effectively simulate the fractal phenomena in nature.更多还原