关键词: 区间Pythagorean模糊, 组合赋权, 前景理论, 方案链, 流行病

Abstract:

With respect to emergency decision-making problem with unknown attribute weights and interval-valued Pythagorean fuzzy linguistic numbers, a multi-stage multi-attribute decision-making method based on combination weighting and prospect theory is proposed. The attribute weights ranges are determined by the information entropy of alternative, and attribute weights are determined by solving an optimization model with minimum interval-valued Pythagorean fuzzy entropy. The positive and negative ideal points are defined as the reference points, the prospect values of each stage and each state are calculated by using prospect theory, and the prospect values of alternative chains are obtained considering the influence of the previous stage on the state probability of the next stage. A multi-objective optimization model is established to achieve the goal of maximum prospect value and minimum cost of the alternative chain, meanwhile, the multi-objective is converted into a single objective, and the optimal alternative of each stage is determined by solving the optimization model. The feasibility of the method is verified by an example of epidemic prevention and control, and the validity of the method is illustrated by comparing the effect of multi-stage decision-making with that of a single stage.

Key words: interval-valued Pythagorean fuzzy, combination weighting, prospect theory, alternative chain, epidemic