Application of Fuzzy AHP and Fuzzy TOPSIS for Establishing Priority Weight of Multiple Criteria for Building Sustainability Assessment

The decision-making domain has evolved significantly, shifting from single-criterion and single-person scenarios to multi-criteria and multi-person contexts. This evolution has led to the widespread adoption of Multi-Criteria Decision-Making (MCDM) methods, which have proven particularly useful in applications such as Building Sustainability Assessment Systems (BSAS). MCDM methods can effectively integrate multiple aspects into a single assessment scenario, making them invaluable for complex decision-making processes. While traditional MCDM methods were initially designed to identify the best alternative based on multiple criteria, some have also been adapted to establish priority weights for these criteria. However, classical MCDM methods often struggle with the inherent imprecision of human judgments, which can lead to practical limitations. The integration of fuzzy set theory into MCDM has given rise to Fuzzy MCDM (FMCDM) methods, which address these challenges. This study focuses on two prominent FMCDM methods: the Fuzzy Technique for Order Performance by Similarity to Ideal Solution (FTOPSIS) and the Fuzzy Analytical Hierarchy Process (FAHP). Through a case study on the development of BSAS, this research investigates the applicability, advantages, and disadvantages of FAHP and FTOPSIS in determining priority weights for multiple criteria. The findings suggest that both FAHP and FTOPSIS can be effectively employed in decision-making to establish priority weights for multiple criteria, providing a valuable reference for practitioners and academics navigating complex decision-making scenarios.