<p>T-spherical fuzzy set (TSFS) is a crucial and powerful tool, offering decision-makers maximum flexibility in tackling real-world problems within a fuzzy environment. In the decision-making process, aggregation operators (AOs) hold significant importance. Currently, the combination of operators has become a focal point in decision-making. The fusion of the Dombi operator and Heronian mean operator is applicable in numerous complex real-life scenarios. This fusion addresses various issues by providing flexibility, an adjustable general parameter, and considering the correlation factor among the aggregated arguments. This manuscript aims to introduce novel AOs based on the Heronian mean and Dombi operators. Specifically, we establish the T-spherical fuzzy Dombi Heronian mean (TSFDHM) operator, T-spherical fuzzy Dombi weighted Heronian mean (TSFDWHM) operator, T-spherical fuzzy Dombi geometric Heronian mean (TSFDGHM) operator, and T-spherical fuzzy Dombi weighted geometric Heronian mean (TSFDWGHM) operator. These operators are designed to satisfy desirable characteristics, including monotonicity, idempotency, and boundedness. Moreover, we propose a couple of multi-attribute decision-making (MADM) schemes based on the TSFDWHM and TSFDWGHM operators. To demonstrate the feasibility and validity of the scheme, we apply it to a post-flood road rehabilitation project. The outcomes illustrate the adaptability, correlational consideration, desirable attributes, MADM applicability, and efficacy of the suggested AOs and decision-making framework. These results offer insightful information about this innovative method's advantages and potential influence in solving practical issues in fuzzy environments. Finally, to confirm the viability and effectiveness of the proposed technique, we compare it with other T-spherical fuzzy decision-making schemes</p>