Making beneficial decisions is a vital part of running an efficacious business. Factors affecting decision-making in business contain alignment with important themes, internal and external information. The multi-attribute decision-making tool is the sub-part of the strategic decision-making technique used for evaluating awkward and unreliable problems that occurred in genuine life troubles. The major contribution of this analysis is to analyze the latest principle of complex Pythagorean fuzzy soft setting and their algebraic operations. Additionally, interaction aggregation operators are a massive part of the operators to use for aggregating the group of attributes into a singleton set. Moreover, by using the interaction aggregation operators and complex Pythagorean fuzzy soft sets, we initiated the principle of complex Pythagorean fuzzy soft interaction weighted averaging operator, complex Pythagorean fuzzy soft interaction weighted geometric operator and their well-known properties. To investigate the supremacy of the elaborated operators, a multi-attribute decision-making procedure is illustrated under the complex Pythagorean fuzzy soft information. Finally, we discussed the advantages and sensitive analysis of the presented works and drew their geometrical expressions to explore the consistency and dominancy of the initiated work.