Aljabar Sensitivitas Parameter (ASP) in Preference Propagation Framework (PPF)

This research develops Preference Sensitivity Algebra (ASP) within Preference Propagation Framework (PPF) to address representation gaps in conventional MCDM. ASP strictly separates Two Tables: Calculation Table (Exact Domain) for FEM, CFD, empirical formulas and Selection Table (Preference Space) for decision synthesis as canonical monomial Ψ = ∏ z^q with q = H^T w. Core logic is Axiom 0 (Semantic Equality) and Preference DNA extraction D (direction) and S (order) into h_kj = V·S, V = o·D. PTR Taxonomy Classes A-F guides conversion, with main contribution Class D for trigonometric dynamics: final shifted mode E_k = C + sin A with C=2 guarantees range [1,3] always positive, avoids 1/sin→ ∞ singularity, satisfies Axiom 4 Positive Closure, with basis z = ln(C+sin A), s=1, and k_P = (∂lnE_k/∂lnz)/h ensuring dE/E = dP/P 0% error. Unshifted sin X mode is kept only for reversible phase representation in realtime monitoring with separate sign, not for ranking. Weights w_k flow whole via q = H^T w without renormalisation, into UPR. PP-WPM engine uses direct ratio R_i/h = Ψ_i/Ψ_h, no rank reversal, linear complexity O(KN+MN), proven realtime 1728 PID candidates in 0.017s and stable dynamic FEM video. 12-point Audit Trail and AI consistency verification prove simplicity as solidity indicator. Keywords: ASP, PPF, UPR, Preference Space, Class D C=2, Whole-Weight Propagation, realtime PID