I see where the confusion may arise. "Acceptance and evaluation criteria" are indeed important in the context of evaluating and accepting a solution, but they don't inherently provide a mechanism for comparing multiple solutions against each other. They are typically used to assess whether a particular solution meets the predefined standards and requirements.
On the other hand, a scoring system involves assigning numerical values or scores to different solutions based on specific criteria. The scores are then used to compare and rank the solutions. This systematic approach allows for a more quantitative evaluation and comparison, helping to identify the most suitable solution.
In practice, you may use acceptance and evaluation criteria within a scoring system. The criteria define what is important, and the scoring system quantifies how well each solution meets those criteria, aiding in the decision-making process.