Fuzzy Synthesis Evaluation Method for Position State of Blast Furnace Cohesive Zone Based on Entropy Weight Extension Theory
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摘要: 针对高炉(Blast furnace, BF)软熔带位置状态影响因素复杂多样且具有层次性和模糊性的特点, 提出了基于熵权--可拓理论的高炉软熔带位置状态两级模糊综合评判的新方法. 首先,在对高炉生产过程参数进行整理、分类的基础上, 采用可拓理论和熵权法确定第一级评判的隶属矩阵和模糊权向量, 进行一级模糊评判. 其次,以一级评判结果矩阵构成第二级评判的隶属矩阵, 并结合层次分析法(Analytic hierarchy process, AHP)确定的第二级模糊权向量, 进行二级模糊评判. 利用物元的可拓性定性分析和可拓集合论的关联函数定量计算相结合的方法, 实现对高炉软熔带位置状态的两级模糊综合评判. 最后,以某钢铁厂2650m3高炉为实例对其软熔带位置状态进行综合评判, 所得结果与现场实际情况吻合良好.Abstract: As the position state of blast furnace (BF) cohesive zone is influenced by various complex factors, which have hierarchical and fuzzy characteristics, a two-stage fuzzy synthesis evaluation method based on entropy weight extension theory is proposed. Using the extension theory and entropy weight method, the membership matrixes and fuzzy weight vectors of the first-stage are determined for the first-stage fuzzy evaluation, which is based on the work of organizing and classifying the process data of BF. Then, after determining the second-stage fuzzy weight vector by utilizing the analytic hierarchy process (AHP), the membership matrix of the second-stage fuzzy evaluation is generated on the basis of the result matrixes of the first-stage fuzzy evaluation. Thus, the two-stage fuzzy evaluation of the position state of BF cohesive zone can be carried out with not only qualitative analysis with extension of matter-element but also quantitative calculation with correlation function of extension set theory. A case study of a 2650m3 steel plant is carried out to verify the proposed method. It can be seen from the verification that the proposed method can reflect the practical situation well.
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