<p>The progression towards sustainable and renewable energy sources has resulted in the formation of hybrid energy systems (HES) which are systems that combine several clean technologies. Nevertheless, the selection of optimal HES is a multi-criteria decision-making (MCDM) problem involving many criteria that have dual aspects (positive and negative aspects) and extra-related information. The traditional MCDM methods tend to neglect the fact that evaluation criteria can have both positive and negative aspects (bipolar nature) and there could be extra related information with each criterion. This lack of attention can result in suboptimal decisions. To address this problem, this article will put forward a new MCDM approach in the framework of bipolar complex fuzzy (BCF) information, known as the bipolar complex fuzzy MCDM (BCF-MCDM) approach. The BCF-MCDM technique is based on the tangent trigonometric operators which are also developed in this paper and intends to provide a powerful and comprehensive DM method that can handle dual aspects and additional fuzzy information related to the criteria at the same time. Through the BCF-MCDM approach, these main challenges are effectively addressed and hence aid in the enhancement of the decision-making process in the use of HESs. In this article, the BCF-MCDM method will be used to the problem of selecting the best HES and the best HES will be selected. Subsequently, the proposed approach will be compared with some of the existing MCDM techniques to reveal that BCF-MCDM is the best one.</p>