中文摘要：

建立了反演炉子内壁二维几何形状的分散模糊推理方法（DecentralizedPuzzyInferenceMethod，DFIM）。对炉子布置一组测点和设置一组模糊推理单元（fuzzyinferenceunits，FIU）。将测点位置处温度的计算值与实际测量值之间的偏差作为模糊推理单元的输入信息并进行模糊推理，对各模糊推理单元的推理结果进行加权综合实现对炉子内壁几何形状的补偿和修正，最后实现炉子内壁形状的反演。讨论研究内壁形状初始猜测值、测量误差和测点数目等对反演结果的影响，证明了分散模糊推理方法的有效性。

英文摘要：

Decentralized Fuzzy Inference Method （DFIM） for estimating the irregular configuration of furnace is proposed in this research. A set of measurement points are deposed to the furnace and a group of fuzzy inference units （FIUs） are designed. The deviations between the calculated and measured temperature at measurement points are regarded as inputs of FIUs to perform the fuzzy inference process and obtain the inference resnlts. The inference results are weighted and synthesized, and then the irregular configuration of furnace are compensated and modified. Finally, the inverse of the irregular configuration of furnace is achieved. Numerical simulations are carried out to discuss the effects of initial guessed configuration, measurement errors and the measurement points number on the inverse results, and show the validity and superiority of the proposed method.