基于集对分析和证据理论的铝电解槽健康状态评估

Health status evaluation of aluminum reduction cell based on set pair analysis and evidence theory

为及时准确地评估铝电解槽的健康状态,提出一种基于集对分析和证据理论的铝电解槽健康状态评估方法。首先建立电解槽健康状态评估指标体系。然后运用模糊层次分析法和熵权法分别确定各指标的主客观权重,运用博弈论和变权理论确定各指标的组合权重与变权重。之后运用集对分析法确定各指标与各状态等级之间的联系度,采用证据理论对各指标的联系度进行合成。最后利用最大隶属度原则与信度准则共同判定电解槽的健康状态等级。

In order to evaluate the health status of aluminum reduction cell timely and accurately,a health status evaluation method of aluminum reduction cell based on set pair analysis and evidence theory was proposed.Firstly,the evaluation index system of health status of alumium reduction cell was established.Then the fuzzy analytic hierarchy process and entropy weight method were used to determine the subjective and objective weights of each index,the game theory and variable weight theory were used to determine the combined weight and variable weight of each index.Then,the set pair analysis method was used to determine the degree of connection between each index and each status level,and the evidence theory was used to synthesize the degree of connection of each index.Finally,the maximum membership degree principle and the reliability criterion were used to determine the health status level of the reduction cell.