毕达哥拉斯模糊环境下的选址决策评估

Evaluation of Site Selection Decision Based on Pythagorean Fuzzy Cloud

摘要: 选址决策是装备抢修行动的重要前提。为实现仿真条件下野战修理所的高效、科学选址，结合毕达哥拉斯模糊集(Pythagorean fuzzy sets, PFS)、云模型和TOPSIS (Technique for Order Preference by Similarity to Ideal Solution)构建多准则决策方法框架。在决策过程中，为提高权重的客观性，提出基于博弈论的主客观组合赋权法；为降低决策过程中的随机性，结合毕达哥拉斯模糊集和云模型构建毕达哥拉斯模糊云；为准确度量方案的优劣性，提出基于TOPSIS的相似性度量方法。最后，以仿真条件下野战修理所的选址决策为研究对象验证毕达哥拉斯模糊云-TOPSIS评估框架的可靠性和鲁棒性。结果表明：针对五组仿真条件下野战修理所决策的评估结果，所提方法与层次分析法、云模型和TOPSIS法排序结果一致，验证了所提方法的可行性和科学性。

Abstract: Location decision is an important premise of equipment repair action. In order to realize efficient and scientific site selection of field repair shop under simulation conditions, Pythagorean fuzzy sets (PFS), Cloud model and TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) are combined to construct the framework of multi-criterion decision methods. In the decision-making process, in order to improve the objectivity of the weights, the subjective and objective combination weighting method based on game theory is proposed. In order to reduce the randomness in the de-cision-making process, the Pythagorean fuzzy cloud is constructed by combining the Pythagorean fuzzy set and cloud model. In order to accurately measure the advantages and disadvantages of the scheme, a similarity measurement method based on TOPSIS is proposed. Finally, the reliability and robustness of the Pythagorean fuzzy cloud-TOPSIS evaluation framework are verified by the field repair shop location decision under simulation conditions. The results show that the proposed method is consistent with the ranking results of AHP, cloud model and TOPSIS method for the eval-uation results of field repair shop decision under five sets of simulation conditions, which verifies the feasibility and scientificity of the proposed method.