What is the formal rationale for the specific ratios 0.55:0.33:0.11? Are they derived from a normalization of a fixed scale (e.g., 5:3:1)? If so, what justifies this scale?
If these weights are meant to be customizable by the DM, shouldn’t their elicitation be a fundamental step in the SCR protocol? Their current treatment as a fixed input, separate from the DM’s membership assessments (μxj), creates a disjointed process where the final weights are partly subjective (via μxj) and partly based on an unexplained, fixed constant.
Have you tested the sensitivity of the final criteria weights (wj) and the resulting alternative rankings to variations in these cluster weights (wα,wθ,wβ)? A small change in these base weights could propagate and alter the final rankings, which would question the robustness of the method.
