## 5 Conclusions  
With the continuous evolution of various information technologies, the Internet has evolved into a platform that integrates various advancements, such as big data, cloud computing, and mobile Internet. This integration extends across various industries, including finance, manufacturing, and healthcare, promoting innovative smart application services. However, the choice of Internet platforms has emerged as a crucial concern, garnering significant attention across various industries and academia. Scholars, particularly in the construction industry, have shown research interest in Internet platform selection to improve operational efficiency and reduce required costs. However, traditional calculation approaches often overlook critical factors. They do not consider the relative weight of assessment criteria, cannot simultaneously handle quantitative and qualitative information, and cannot handle fuzzy and uncertain information. Moreover, these approaches often rely on a single arithmetic model for evaluation in the context of the construction industry Internet platforms selection problem. To address these shortcomings and improve the accuracy of the assessment results, this study integrated the FAHP approach and WASPAS approach to process Internet platform selection problem within an incomplete information environment. The proposed approach uses the triangular fuzzy set and the AHP approaches to deal with qualitative, quantitative, and fuzzy information in the relative weight comparison assessment criteria. On the other hand, the proposed method combines the WSM and WPM approach to calculate the total relative importance score of different alternatives. The proposed FAHP-based approach offers several advantages, including the following:  
1. The proposed FAHP-based approach can simultaneously handle quantitative and qualitative information.
2. The proposed FAHP-based approach can process fuzzy semantic messages provided by experts.
3. The proposed FAHP-based approach can simultaneously consider the characteristics of two arithmetic models.
4. The proposed FAHP-based approach can effectively process incomplete information.
5. The proposed FAHP-based approach evaluates the relative importance of evaluation criteria through pairwise comparisons.  
Moving forward, subsequent researchers may explore alternative research approaches for evaluating alternative performance, such as the VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR), the technique for order preference by similarity to the ideal solution (TOPSIS), and the combined compromise solution (CoCoSo) approaches. Additionally, enhancing the consideration of objective weights for evaluation factors can broaden the scope of research and further enrich the analysis.  
Conceptualization, K.-H.C., H.-H.L. and B.-J.H.; methodology, K.-H.C., H.-H.L. and B.-J.H.; validation, K.-H.C., H.-H.L. and B.-J.H.; writing--original draft preparation, K.-H.C., H.-H.L. and B.-J.H.; writing--review and editing, K.-H.C. and H.-H.L.; funding acquisition, K.-H.C. All authors have read and agreed to the published version of the manuscript.  
The authors would like to thank the National Science and Technology Council, Taiwan, for financially supporting this research under Contract No. NSTC 111-2221-E-145-003 and NSTC 112-2221-E-145-003.  
Not applicable.  
The raw data supporting the conclusions of this article will be made available by the authors on request.  
The authors declare no conflicts of interest.