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Chinese Journal of Management Science ›› 2001, Vol. ›› Issue (5): 38-44.

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Morbidity Problem in Grey Model

ZHENG Zhao-ning, WU Yu-ying, BAO Han-ling   

  1. School of Economics and Management, Beijing Polytechnic University, Beijing 100022, China
  • Received:2000-11-03 Online:2001-10-28 Published:2012-03-06

Abstract: This paper points out that the sysstem of equations of grey model(GM model)has very serious morbidity problem We discuss the reasons why GM model has morbidity problem:1)Matrices are composed of accumulating numbers which have very large scalar difference among them;2)Degeneration in some grey model makes very large scalar difference among elements of matrices;3)The way to build matrices in grey model let us hardly reduce morbidity of the system of equations A widely referrenced example is analyiedin this paper At the end,we suggest that it must be careful to use grey model.

Key words: grey model, condition number, norm, illed system of equations, illed matrix, morbidity, perturbation analysis

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