The performance of fuzzy time series (FTS) prediction algorithms is impacted negatively in the presence of outlier(s), heterogeneity, or contamination in the data. As a result of these issues, standard forecasting algorithms will fail to produce reasonable forecast error rates for defuzzified outputs in understudy data. In this article, we present a robust technique for FTS by assessing how the prediction performance of the techniques is influenced by the outlier, not only to tackle this problem but also to increase forecasting accuracy. We proposed two novel robust fuzzy time series models, i.e. Trimmed Fuzzy Time Series (TFTS) and Winsorized Fuzzy Time Series (WFTS), and implemented to annual exchange rates (AERs) between the Pakistani rupee and the US dollar for comparison to other competitive models. The proposed models consider sub-partitioning in the universe of discourse, optimization of parameters method(s), and interval forecasting, which makes the forecast accuracy more precise forecasting than previously studied methods. Such forecasting techniques will assist all stakeholders, whether directly or indirectly involved, in making sensible data-driven business decisions across the country.