The Journal of Grey System ›› 2026, Vol. 38 ›› Issue (1): 120-132.

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Model Selection of a Class of Discrete Grey Models Based on Connotation Research

  

  1. 1. College of Mathematical Sciences, China West Normal University, Nanchong, 637000, P.R. China

    2. Institute for Chengdu-Chongqing Economic Zone Development, Chongqing Technology and Business University, Chongqing 400067, P.R. China

    3. School of Management Science and Engineering, Chongqing Technology and Business University, Chongqing 400067, P.R. China

    4. School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P.R. China

  • Online:2026-02-01 Published:2026-06-08

Abstract: This paper first rewrites the first-order accumulated sequence into two distinct sequences, thereby introducing a novel research perspective. Secondly, it reveals the intrinsic relationships and geometric interpretations among the DGM(1,1), NDGM(1,1), QPDGM(1,1), and DGMP(1,1,N) models, and proposes a new criterion for determining the degree N in the DGMP(1,1,N) model. Finally, numerical examples and practical applications demonstrate the validity of the proposed theory and the operational feasibility of the method. The approach improves efficiency for applied researchers in model selection and is straightforward to implement.

Key words: Discrete grey model, Difference sequence, Linear correlation, Similarity correlation degree