<p>The TODIM method is commonly used to solve multiple attribute group decision-making problems. The interval intuitionistic fuzzy number precisely captures a category of fuzzy data when defining its inherent fuzziness. This work presents an enhanced TODIM solution that incorporates the cross-entropy loss function. The proposed method is based on the loss-avoidance psychology of decision-makers and effectively considers the variability and uncertainty of decision-making information. Firstly, the concept of an interval intuitionistic fuzzy set and its algorithm are defined; secondly, the entropy weight method is proposed to calculate the decision-maker’s weight variable, and the constraint model is established to find out the case of an unknown attribute weight. The function mapping of intuitionistic fuzzy is utilized to improve TODIM by applying the cross-entropy loss function. This method involves determining the ideal alternative based on the outcomes of the relative benefit ranking. Through the analysis of investment project examples and comparison with the extended TODIM method, it is proven that the method provides a theoretical basis and methodological support for correct decision-making.</p>

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TODIM Method Based on Cross-Entropy Loss Function for Risk Assessment of Investment Projects

  • Hong Zhang,
  • Chenying Luo

摘要

The TODIM method is commonly used to solve multiple attribute group decision-making problems. The interval intuitionistic fuzzy number precisely captures a category of fuzzy data when defining its inherent fuzziness. This work presents an enhanced TODIM solution that incorporates the cross-entropy loss function. The proposed method is based on the loss-avoidance psychology of decision-makers and effectively considers the variability and uncertainty of decision-making information. Firstly, the concept of an interval intuitionistic fuzzy set and its algorithm are defined; secondly, the entropy weight method is proposed to calculate the decision-maker’s weight variable, and the constraint model is established to find out the case of an unknown attribute weight. The function mapping of intuitionistic fuzzy is utilized to improve TODIM by applying the cross-entropy loss function. This method involves determining the ideal alternative based on the outcomes of the relative benefit ranking. Through the analysis of investment project examples and comparison with the extended TODIM method, it is proven that the method provides a theoretical basis and methodological support for correct decision-making.