Rule-Induced Behavior of Fuzzy Scalar Objective Functions for Reliable Multi-Criteria Decision Making
This study addresses semantic inconsistencies, reference-point tracking failures, and selection biases in multi-criteria decision-making that arise from poorly configured membership functions and rule consequents in fuzzy scalarizing objective functions. It identifies a spurious reference-following phenomenon caused by flat activation plateaus and proposes a design methodology based on three explicit fuzzy rule sets. By integrating a bi-criteria analytical Pareto front with a dominance-reference modeling framework, the approach effectively refines inferior reference solutions. Experimental results demonstrate that the proposed method consistently recovers the true Pareto front, eliminates plateau-induced biases, and uniformly enhances the quality of dominated reference solutions under diagnostic performance metrics.