Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (4): 774-776.

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Weighted degree of grey incidence based on optimized entropy

WANG Zheng-xin1, DANG Yao-guo1, CAO Ming-xia2   

  1. (1. Coll. of Economics and Management, Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China;
     2. Rural Development Inst., Jiangsu Academy of Social Sciences, Nanjing 210013, China)
  • Online:2010-04-23 Published:2010-01-03

Abstract:

Based on the basic assumption of the stable relationship between various factors in grey systems and the analysis of grey sequence entropy, this paper presents the way of how to fix the weight of an incidence coefficient in grey incidence analysis. By defining the distributing consistency value of the weighted grey incidence coefficients, this paper constructs a grey sequence, establishes an optimized model of the weight of the incidence coefficients and solves it. Moreover, the effectiveness and practicability of this method are verified using an example. The results indicate that this method can reflect the significance of incidence coefficients at different time points, thereby the fluctuation of incidence coefficients can be controlled effectively, and the controlling problem of the whole grey incidence sequence by local point incidence coefficients is solved.

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