<p>In real-life decision-making problems, the decision-maker faces lots of challenges while dealing with objectives that are conflicting in nature. Also, most often the parameters involved in such problems are uncertain and imprecise in nature. Here, through this research we are trying to give a new computational approach to solve an interval-valued intuitionistic fuzzy multi-objective linear programming problem (IV-IF-MOLPP). In this paper, we have considered a multi-objective linear programming problem with conflicting objectives and tried to solve these objectives simultaneously, using the concept of the conflict and non-conflict nature of IV-IF objectives. This concept refers to the relationship between the multiple objectives being optimized simultaneously. This work aims to give a new and effective computational procedure for solving MOLPP in an IV-IF environment. We demonstrate the effectiveness of the proposed method by applying it to a numerical example taken from the paper of “Yucel and Guneri” and show that this methodology performs equally well in terms of results, computational efficiency, and accuracy and also compare the results with the existing method. We have also added comparisons with the recent existing methodologies to showcase the potential of our proposed methodology. The findings of this research can be useful in decision-making processes for complex problems where multiple objectives need to be optimized under uncertainty.</p>