An enterprise resource planning (ERP) system is a critical investment that can substantially impact small and medium-sized businesses′ future competitiveness and performance (SMEs). For a long time, the greatest difficulty has been deciding on the most suitable ERP software that takes into account both qualitative and quantitative variables. Multiple-criteria decision-making, on the other hand, has been found to be a beneficial method for analysing competing factors. Qualitative criteria are frequently riddled with ambiguity and vagueness. As a result, fuzzy and grey logic are becoming increasingly natural solutions to this type of problem. For instance, there is a novel method for selecting SME-specific ERP solutions. Initially, utilising, group-discussion and anonymous questionnaire methods, criteria for SMEs in China to appraise the most appropriate ERP system are presented. In the presence of ambiguity and uncertainty, an effective and practical algorithm that incorporates modified Delphi, analytic hierarchy process, fuzzy comprehensive evaluation, and grey relational analysis is used to convert the qualitative desсrіption to quantitative data and select the most appropriate alternative