Enhanced TODIM-TOPSIS framework for design quality evaluation for college smart sports venues under hesitant fuzzy setsEnhanced TODIM-TOPSIS framework…F. Yang et al.

With the gradual development and application of modern intelligent technology in our country, it has become a key factor influencing the nation's overall competitive strength. The state has explicitly proposed the establishment of efficient and high-quality engineering projects in the current sports industry. By applying innovative technologies, smart sports venues will be created to support the future development of the nation and the sports sector, thereby comprehensively enhancing the country's overall competitive strength. Among these, university gyms, as important venues for modern school physical education, must keep pace with the nation's development. By establishing smart sports venues and utilizing Internet of Things (IoT) technology, cloud computing technology, and artificial intelligence technology, the comprehensive operation of sports venues can be promoted, leading to the stable development of the school sports industry. The design quality evaluation for college smart sports venues is a multiple-attribute decision-making (MADM) problem. Recently, the TODIM and TOPSIS methods have been demonstrated to address MAGDM issues. Hesitant fuzzy sets (HFSs) have been introduced as a means to characterize uncertain data during the design quality evaluation for college smart sports venues. In this study, the hesitant fuzzy TODIM-TOPSIS (HF-TODIM-TOPSIS) approach is proposed to solve MADM problems under HFSs. Finally, a numerical study for the design quality evaluation of college smart sports venues is presented to validate the proposed approach. The major contributions of this study are as follows: (1) The TODIM and TOPSIS methods are extended to HFSs; (2) Entropy is used to determine the weight values under HFSs; (3) The HF-TODIM-TOPSIS approach is established to handle MADM problems under HFSs; (4) Algorithm analysis and comparison for the design quality evaluation of college smart sports venues are conducted based on a numerical example to verify the feasibility and effectiveness of the HF-TODIM-TOPSIS approach.