<p>In decision-making theory, after evaluating the information about data, the decision maker typically provides their opinion in the form of yes, no, refusal and abstain. To address such situations, a model based on picture fuzzy sets is often used. However, spherical fuzzy sets offers more extended domain compared to picture fuzzy sets and hence it is more useful in handling uncertain information. Furthermore, their prominent characteristic of an extensive domain makes them better suited for dealing with triplets, i.e., membership, non-membership and neutral values. Fuzzy graph models are power mathematical tools for managing uncertain data. Therefore, to tackle many real-world problems containing uncertainties, spherical fuzzy graphs (SFGs) model offers greater flexibility. In this article, we introduce the concepts of dominations in spherical fuzzy graphs (SFGs) utilizing perfect strong matching (PSM) using strong arcs (SAs), along with its application in decision making. Initially, various types of strong dominating sets (SDSs) like strong paired dominating set (SPDS), strong total dominating set (STDS) etc are introduced within the framework of SFGs. Additionally, characterizations of complete spherical fuzzy graphs (complete SFGs) and complete bipartite spherical fuzzy graphs (complete bipartite SFGs) are provided, alongside the introduction of novel terms related to domination in SFGs. Moreover, several useful terms related to domination in SFGs are introduced, and various characteristics of strong paired domination are examined within the framework of SFGs. Finally, we investigate the practical application of our newly established concepts in the textile industry to identify the partner with the maximum collaboration potential with the stakeholder.</p>