一种分形维为灰数的分形模型及其应用初探

Chinese Journal of Management Science ›› 2008, Vol. 20 ›› Issue (6): 100-104.

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Probe into The Fractal Model with Grey Number Dimension and Its Application

SHI Hong-xing^1,2, ZHANG Hao-wei¹, FANG Zhi-geng¹, LIU Si-feng¹

1. School of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. Bengbu College of Automobile Management, Bengbu 233011, China

Received:2007-09-17 Revised:2008-10-28 Online:2008-12-31 Published:2008-08-20

Abstract

Abstract: 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.

Key words: fractal, fuzzy fractal, grey number dimension, fuzzy programming

CLC Number:

PMN941.5

SHI Hong-xing, ZHANG Hao-wei, FANG Zhi-geng, LIU Si-feng. Probe into The Fractal Model with Grey Number Dimension and Its Application[J]. Chinese Journal of Management Science, 2008, 20(6): 100-104.

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Probe into The Fractal Model with Grey Number Dimension and Its Application

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