In this paper, we present a novel multi-criteria decision-making (MCDM) methodology for assessing several alternatives under the triangular hesitant fuzzy environment. A scientific evaluation and prioritization approach is proposed by solving the MCDM problems with triangular hesitant fuzzy preference relations (THFPRs). Firstly, the concepts of THFPRs are defined, and a series of aggregation operators is introduced and their corresponding properties are discussed. Then, we define the consistency of the THFPRs and propose two methods to measure consistency. Furthermore, we construct an MCDM model using THFPR (MCDM-THFPR) to help decision makers assess and prioritise alternatives in the decision making process. Lastly, the validity and feasibility of the proposed MCDM-THFPR method for the MCDM are verified by a comparison with two previous approaches, along with certain discussions