<p>Environmental degradation, depletion of resources and climate change are some of the major reasons for the push towards sustainability and sustainable systems. A drip irrigation system is one such system used in irrigation, which is not only cost-effective but also eco-friendly since it reduces wastage of water and requires less energy. With the increasing need for such systems, the need for their reliability assessment is also increasing, particularly fuzzy reliability, since the real-world systems are never devoid of errors or inaccuracy. The reliability of drip irrigation systems has been evaluated by many scholars previously; however, they do not take high levels of vagueness into consideration, due to which the interval-valued intuitionistic fuzzy sets (IVIFS) are used in this particular work to showcase a novel methodology to evaluate the system reliability of a drip irrigation system. The IVIFS have the capability to deal with cases involving higher levels of imprecision since they represent the membership and non-membership functions in intervals instead of exact values. Therefore, firstly, the reliability evaluation procedure for series, parallel and linearly consecutive <i>k</i>-out-of-<i>n: F</i> system is defined using IVIFS. Then, the presented methodology has been used to evaluate the reliability of four different drip irrigation systems having a linearly consecutive <i>k</i>-out-of-<i>n: F</i> system configuration for five distinct component reliabilities. The obtained results have been compared with the four considered systems and the component reliabilities to determine the best system.</p>