<p>This paper proposes a multi-criteria decision-making method based on CSOGRMILP and Borda-CoCoSo in a probabilistic hesitant fuzzy environment. In this method, we utilize a probabilistic hesitant fuzzy scoring function to process the probabilistic hesitant fuzzy information, obtaining a processed decision matrix. Then, based on the processed decision matrix, we propose the “Combined Subjective-Objective, Gray Relational Analysis, Mixed Integer Linear Programming” (CSOGRMILP) method to determine the weights of decision criteria. Next, an improved method called Borda-CoCoSo is proposed for ranking solutions based on the Borda rule modification of the Combined Comprise Solution (CoCoSo) method. Finally, a case study on the selection of degradable dynamic plastic products was used to validate the proposed method. In the comparative analysis, we compare the proposed method with traditional methods. This further validates the rationality of the Borda-CoCoSo method. Additionally, we compare CSOGRMILP with EWM (Entropy Weight Method), MEREC (MEthod based on the Removal Effects of Criteria), CRITIC (CRiteria Importance Through Inter-criteria Correlation), and ROSOSD (The Robustness, Correlation, and Standard Deviation). The comparison results indicate that CSOGRMILP demonstrates better stability (0.046) and the best consistency (96.43%).</p>

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A Probabilistic Hesitant Fuzzy Multi-Criteria Decision-Making Method Based on CSOGRMILP and Borda-CoCoSo

  • Jiafu Su,
  • Baojian Xu,
  • Hongyu Liu,
  • Yijun Chen,
  • Xiaoli Zhang

摘要

This paper proposes a multi-criteria decision-making method based on CSOGRMILP and Borda-CoCoSo in a probabilistic hesitant fuzzy environment. In this method, we utilize a probabilistic hesitant fuzzy scoring function to process the probabilistic hesitant fuzzy information, obtaining a processed decision matrix. Then, based on the processed decision matrix, we propose the “Combined Subjective-Objective, Gray Relational Analysis, Mixed Integer Linear Programming” (CSOGRMILP) method to determine the weights of decision criteria. Next, an improved method called Borda-CoCoSo is proposed for ranking solutions based on the Borda rule modification of the Combined Comprise Solution (CoCoSo) method. Finally, a case study on the selection of degradable dynamic plastic products was used to validate the proposed method. In the comparative analysis, we compare the proposed method with traditional methods. This further validates the rationality of the Borda-CoCoSo method. Additionally, we compare CSOGRMILP with EWM (Entropy Weight Method), MEREC (MEthod based on the Removal Effects of Criteria), CRITIC (CRiteria Importance Through Inter-criteria Correlation), and ROSOSD (The Robustness, Correlation, and Standard Deviation). The comparison results indicate that CSOGRMILP demonstrates better stability (0.046) and the best consistency (96.43%).