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Soft Computing

, Volume 13, Issue 2, pp 185–201 | Cite as

Random fuzzy variable foundation for Grey differential equation modeling

  • R. Guo
  • D. Guo
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Abstract

Grey differential equation (GDE) theory, which is a young branch of mathematical theory, deals with a system dynamic modeling having only a small size of system sampling information available for the investigation. Deng’s creation is very delicate and consequently forms one of the core parts of Grey system methodologies. However, what is the appropriate mathematical foundation for GDE modeling remains debatable. In this paper, we analyze the sources of error contributions and accordingly propose a random fuzzy variable foundation for GDE modeling based on the classical Gauss error law and the fuzzy credibility measure theory.

Keywords

Grey system Grey differential equation Coupling principle Random fuzzy variable Differential equation motivated regression models 

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of Statistical SciencesUniversity of Cape TownCape TownSouth Africa
  2. 2.South African National Biodiversity InstituteCape TownSouth Africa

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