The Journal of Grey System ›› 2024, Vol. 36 ›› Issue (2): 13-26.

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Grey Target Decision Extended Model Based on Prospect Theory and Dual Hesitant Fuzzy Set 

  

  1. 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 211106, P.R. China  2. Institute for Grey Systems Studies , Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, Nanjing 211106, P.R. China  
  • Online:2024-02-01 Published:2024-04-09

Abstract: Grey target decision-making, as an effective method for multi-attribute decision problems, has been applied to evaluations in various domains. However, existing grey target decision-making method fails to mitigate the inherent subjectivity of decision-makers’ preferences and cannot address the dependency issues in raw data. To address these limitations, this paper proposes an extended model of grey target decision-making based on prospect theory in a dual hesitant fuzzy environment. Firstly, by referencing the positive, negative, and median expected points of each dual hesitant fuzzy decision matrix and employing the prospect theory value function for numerical transformation, a dual hesitant fuzzy prospect matrix is formed. Secondly, utilizing the projection distance and the rewardpenalty principle, the comprehensive target center distance of the decision matrix is calculated to identify the superiority or inferiority of different alternatives. Furthermore, a nonlinear model with minimal comprehensive target center distance is established based on the principle of maximum entropy to optimize attribute weights. Finally, the effectiveness and rationality of the proposed decision-making method are validated through a case study of ecological assessment in the aviation industry cluster.