One of the advanced machine learning branches is emotional learning based on brain emotional learning (BEL), which has been widely used for almost three decades. BEL mimics the emotional learning mechanism in the mammalian brain, which has the superior features of fast learning, quick reacting, and low computational complexity. The original BEL model inspired by the limbic system is composed of two neural network components, namely the amygdala (AMYG) and orbitofrontal cortex (ORBI), which interact with each other. Using a fuzzy extreme learning machine (FELM), a brain-inspired emotional learning model was developed in this study to predict noisy, chaotic time series. The exchange of information between AMYG and ORBI is facilitated by an online sequential type-one FELM with interactive recurrent memory (OIRMS-T1FELM). The CenteroMedial (CM) section of AMYG uses type-one FELM (T1FELM) and interval type-two FELM (IT2FELM). Hence, the proposed model is named BEL-OIRMS-T1/IT2 FELM. The impact of noise on time series targets was determined by altering the various standard deviation of Gaussian noise levels (Sig). The experimental results show that the interaction between AMYG and ORBI leads to the reduction of RMSE in their outputs. Also, when IT2FELM is used instead of T1FELM in the CM of AMYG, the RMSE and MAPE of the final prediction output are lower, and the R is higher. In this state, by increasing the noise level, the proposed method with MF=2 performs better than other states.