Integrating Interval value Intuitionistic Fuzzy Vague Set and COCOSO method with Friedman Test for Handling multi criteria Decision Making

Objectives: To evaluate and prioritize the authentication technique for artifact theft, it is implemented and compared in sculptures of the Chola Dynasty relocated to the homeland of Tamil Nadu. Methods: This study integrates the COCOSO ranking method and interval-value intuitionistic fuzzy vague sets in multi-criteria decision-making (MCDM). To obtain the rank quality from the alternative rank order, the Friedman test is processed. The nuanced analysis of interval value intuitionistic fuzzy vague sets provides qualitative decision stability and a realistic framework for solving real-world problems. Findings: The international issue of fraudulent practices in ancient architecture presents significant challenges in case resolution through risk assessment. The unified technique enables the resolution to solve reliable cases, that is, to be applied to the Lord Shiva Nataraja Sculpture theft of Chola bronze from the Peruvudaiyar Kovil temple, compromising the historical value of artifacts. This finding provides a clear ranking procedure accomplished through the Friedman test using the Statisty software. This result provides both a qualitative and prioritized investigation framework technique and leaves the historical fact unchanged. Novelty: An integrated COCOSO method for weight aggregation for decision-making using interval-valued intuitionistic fuzzy vague sets in Multi-Criteria Decision Making (MCDM). The Friedman test was used to rank quality. Keywords: COCOSO method, Interval value Intuitionistic fuzzy vague set (IVIFVS), Score function, Fuzzy entropy, Friedman test, lindo software