A Generalized Incidence Degree Model of Interval Grey Numbers

Liu Wei-feng · Journal of Zhengzhou University · 2013

According to the fact that the traditional model of grey incidence was only appropriate for real number sequence but not for interval grey number sequence,the incidence degree of interval grey number sequences was calculated by the sum of the distances to corresponding interval grey numbers of the two interval grey number sequences,and the generalized incidence degree model of interval grey numbers was constructed,which included the absolute incidence degree model suitable to system behavior sequences having the same dimension,the relative incidence degree model suitable to system behavior sequences having different dimensions,and the synthesized incidence degree model,in which the absolute incidence degree model and the relative incidence degree model were synthetically considered.Then,natures of the generalized incidence degree model of interval grey numbers were studied.Lastly,the calculation process and feasibility of the generalized incidence degree model of interval grey numbers were demonstrated by an example.

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