While fuel-cell conjunction with hydrogen (FCH) innovation is still in its infancy, the existing market progression towards corporatization is straddled by prevailing research, development, and advancement. The availability of spare components and auxiliary equipment for the FCH process is vital to the component's improvement. An optimal strategic procurement function can prosper protracted research and recognize the levels of technical understanding to produce high performance and affordably priced modules for a successful transformation. This study presents a multi-attribute decision-making approach based on Entropy (ENT), Similarity Measure (SM), and TOPSIS Approach to evaluate FCH supplier selection strategies. This research examined the novelty of the Complex Fuzzy HyperSoft Set (CFHSS), which may respond to instabilities, ambiguity, and vagueness of facts in knowledge by simultaneously putting into consideration the amplitude and phase terms (P-terms) of complex numbers (C-numbers). The presented structure is the most suitable option for exploring FCH concerns as it allows for a more comprehensive array of membership values, and the periodic nature of the content can be expressed in Pterms to widen the content to a unit circle in a dynamic reference frame through the specification of the Fuzzy Hypersoft Set (FHSS). Secondly, the features in CFHSS may be further sub-divided into attribute values for easier comprehension. The paper also illustrates the apparent connection between FCH and CFHSS SM, ENT, and TOPSIS. These strategies may be used to determine the best approach from a group of possibilities that have a variety of applications in the field of optimization. The recommended methodology's reliability and effectiveness are examined by evaluating the acquired findings from several prior studies. Some assessments have been done using various parameter values to validate the robustness of the suggested approaches. A scenario-based research project on the FCH modules decision problem is presumed to put the envisaged holistic strategy into action. Ultimately, comparisons are provided to demonstrate the usefulness of the proposed method.INDEX TERMS Fuel Cell; Hydrogen; Fuzzy Hypersoft Set (FHSS); Complex Fuzzy Hypersoft Set (CFHSS); Entropy (ENT); Similarity Measures (SM).