Study on Improvement of Token and Arithmetic of Interval Grey Numbers and Its GM(1,1) Model

2005, Volume 7, Issue 2

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Strategic Study of CAE >> 2005, Volume 7, Issue 2

Study on Improvement of Token and Arithmetic of Interval Grey Numbers and Its GM(1,1) Model

Nanjing University of Aeronautics and Astronautics, School of Economics and Management, Nanjing 210016, China

Funding project：国家自然科学基金资助项目（70473037）；国家教育部博士学科点科研基金资助项目（20020287001）；江苏省自然科学基金重点资助项目（BK2003211）；江苏省研究生创新计划项目；南京航空航天大学创新集体基金项目；南京航天航空大学科研创新基金项目（Y0488-091）；南京航空航天大学特聘教授科研创新基金项目（1009-260812） Received: 2003-09-26 Revised: 2004-10-09 Available online: 2005-02-20

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Abstract

Aimed at the severe problems in tokens and computations of grey numbers, which expanded unnecessarily and distorted the information heavily, this paper defined the standard interval grey number and the first and the second standard grey number, and analyzed their relationship. Furthermore, it designed the transformation rule from general grey number to the standard interval grey number, and developed the operation principle of the standard interval grey number to solve preferably the above problems. Last, the paper established the GM (1,1) model based on the interval grey number and got a good effect.

Keywords

interval grey number ; standard interval grey number ; token ; GM(1 ; 1) model ; computation rules

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References

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