模糊分形及其在级配骨料研究中的应用

Fuzzy Fractal and Its Application to Graded Aggregate Research

结合模糊集理论和分形理论提出了模糊分形集的概念,将分形论的应用范围从清晰现象推广到了模糊现象领域。模糊分形系统大量存在于自然界中,例如海岸线、混凝土的断裂表面、级配骨料的粒度分布等。级配骨料的分形特征具有模糊性,模糊分维是其粒度分布复杂程度的度量。文中给出模糊分形集在级配骨料研究中的应用实例。

Integrating the theory of fuzzy set and fractal theory, the concept of fuzzy fractal was put forward in this paper. And the applied range of fractal theory is generalized from accurate domain to fuzzy domain. A large number of fuzzy fractal systems exist in nature, such as coastline, fracture surface of concrete, size distribution of graded aggregate and so on. The fractal characteristics of graded aggregate have fuzziness. And fuzzy fractal dimension is the measuring of graded aggregate＇s size distribution. And two examples about its application on the research of graded aggregate was given in this article.