摘要
针对现实中大量存在的近似分形问题,本文在传统分形理论和模糊分形理论的基础上提出了一种分形维为灰数的新的分形模型,并运用模糊规划法对这一灰数分形维进行了测定研究。实例分析表明,新的分形模型在反映和解决实际分形问题时较之传统分形模型与模糊分形模型更为准确和深刻。
Based on the research of fractal theory and fuzzy fractal theory, a new fractal model with grey number dimension has been presented in this paper, to cope with approximate fractal problems which abound in reality. In order to calculate the grey number dimension, a fuzzy programming method has been applied. Moreover, it has been preliminarily and practically proved that this grey fractal model did have a better performance over the traditional fractal model and the fuzzy fractal model in depicting and solving certain fractal problem.
出处
《中国管理科学》
CSSCI
2008年第6期100-104,共5页
Chinese Journal of Management Science
基金
国家自然科学基金资助项目(70473037、70701017)
教育部哲学社会科学研究后期资助项目(07JHQ0053)
江苏省高等学校首批优秀科技创新团队基金
南京航空航天大学创新集体和科研创新基金项目(Y0488-091)
江苏省哲学社会科学基金资助项目(07EYA017)
关键词
分形
模糊分形
灰数分形维
模糊规划
fractal
fuzzy fractal
grey number dimension
fuzzy programming
