中文摘要：

介绍了 Mackey-Glass 混沌系统模型及系统在混沌状态下的状态变量时间序列。然后设计基于Back-propagation（BP）算法调节参数的区间二型单点Mamdani模糊逻辑系统，用设计的系统对混沌状态下的状态变量时间序列进行预测。预测性能指标和仿真结果表明，区间二型单点 Mamdani 模糊逻辑系统优于单点一型Mamdani模糊逻辑系统，所设计的区间二型单点Mamdani模糊逻辑系统对混沌状态下Mackey-Glass时间序列预测是有效的和可行的。

英文摘要：

Mackey-Glass chaotic system model and state variable time series in chaotic state were introduced, and then the system was used to predicate state variable time series in chaotic state based on BP algorithm interval type-2 singleton Mamdani fuzzy logic systems. The forecasting performance index and simulation results show that the interval type-2 singleton Mamdani fuzzy logic systems is superior to the singleton type-1 Mamdani fuzzy logic systems, and the designed interval type-2 singleton Mamdani fuzzy logic systems to the Mackey-Glass time series forecasting is feasible and effective.