Extended technique for interval-valued intuitionistic fuzzy MAGDM and applications to performance evaluation of intangible assets operation and management in sports events.

This article focuses on developing an interval-valued intuitionistic fuzzy TODIM-TOPSIS (IVIF-TODIM-TOPSIS) technique to manage multiple-attribute group decision-making (MAGDM) for the performance evaluation of intangible assets operation and management (IAOM) in sports events. It integrates interval-valued intuitionistic fuzzy sets (IVIFSs) and information entropy to handle uncertain decision information and derive attribute weights, extending traditional TODIM and TOPSIS methods. An empirical case study involving five sports event alternatives assessed by multiple experts demonstrates the technique's effectiveness and consistency compared to other IVIF-based decision methods. The study highlights the importance of comprehensive evaluation systems in sports event management beyond economic indicators and suggests further research to incorporate additional evaluation criteria and uncertain decision settings.