Choquet integral-based method for optimal selection of industrial wastewater management systems using linguistic interval-valued T-spherical fuzzy sets

Industrial wastewater management is a critical challenge due to the increasing environmental concerns and stringent regulatory requirements. Selecting an optimal wastewater treatment system involves multiple conflicting attributes, requiring robust decision-making approaches under uncertainty. This study employs the linguistic interval-valued T-spherical fuzzy (LIVt-SF) set theory to enhance the decision-making process for industrial wastewater management. To achieve this, novel aggregation operators, specifically the LIVt-SF Choquet integral averaging and LIVt-SF Choquet integral geometric operators, are introduced. These operators facilitate a more accurate representation of uncertainty by effectively capturing and modeling the interactions among decision attributes, rather than treating them as independent factors. This ensures a more realistic and informed evaluation in multiple attribute group decision-making (MAGDM) problems. Building on these operators, we propose a comprehensive MAGDM framework incorporating the Choquet integral method to model interdependencies among attributes. The effectiveness of the proposed approach is demonstrated through a real-world case study on industrial wastewater management system selection. Comparative analysis and sensitivity testing confirm the superiority and robustness of the model over existing methods, making it a valuable tool for sustainable and efficient decision-making.