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Graph theory is a very beneficial mathematical tool to handle complex problems in various domains. Mathematical frameworks based on Interval-valued intuitionistic fuzzy soft information achieve more accuracy, compatibility, and flexibility of real-time applications related to other traditional fuzzy-based modelling techniques. This study demonstrates the application of interval-valued intuitionistic fuzzy soft information (IVIFSI) in a real-time scenario to handle decision-making problems in the multi-criteria environment. According to the interval score function, some advanced notions related to IVIFSI such as judgement matrix, interval exponential matrix, and possibility degree matrix are defined. Based on these parameters, a ranking technique is proposed for making a decision. In the end, a real-time scenario is given where there is an investor who wants to invest a certain amount of money in the best Indian industries for safe investments. The proposed framework provides the procedure to select an appropriate industry for investment business based on specified multiple criteria.

Research on multi-criteria decision-making problem using an interval-valued intuitionistic fuzzy soft information