The Journal of Grey System ›› 2023, Vol. 35 ›› Issue (4): 76-90.

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A Multi-attribute Decision-making Method Based on Grey Correlation

  

  1. 1. School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, P.R. China  2. Collaborative Innovation Center of Statistical Data Engineering Technology & Application, Zhejiang Gongshang University, Hangzhou 310018, P.R. China  3. School of Oriental Languages and Philosophy, Zhejiang Gongshang University, Hangzhou 310018, P.R. China;  4. School of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, P. R. China  5. Zhejiang Province Key Think Tank: Institute of Ecological Civilization, Zhejiang A&F University, Hangzhou 311300, P.R. China
  • Online:2023-12-25 Published:2023-12-26

Abstract: Aiming at the grey feature problem of ' small sample and poor information ', this paper extends the traditional analytic hierarchy process, entropy method and ' vertical and horizontal ' scatter degree method to the field of grey number, and proposes a multi-attribute decision-making method based on grey correlation. Firstly, the applicable form of index weight is enriched, and the determination method of index weight in grey number form is given systematically. Secondly, aiming at the problem that the traditional evaluation method can not be directly applied to the comprehensive evaluation with grey characteristics, a comprehensive evaluation model in the form of grey number is proposed. Finally, through the interval grey number integration method and the ' kernel and grey number ' integration method, the evaluation values under each index are formed into a comprehensive evaluation value, and the evaluation results are sorted. Compared with the traditional evaluation method, the proposed method more reflects the rationality and dynamics of the evaluation results.

Key words: Grey Number, Analytic Hierarchy Process, Entropy Method, 'Vertical And Horizontal' Open Grade Method