An outranking approach for the multicriteria ranking problem using fuzzy preference relations and evidential reasoning
摘要
Traditional multicriteria decision analysis (MCDA) methods often have difficulty handling incomplete and imprecise information, especially in complex environments. This paper presents a novel outranking-based method for multicriteria ranking problems that combines fuzzy logic with the Evidential Reasoning (ER) approach. This integration handles uncertainty and imprecision in decision-making. Our framework takes advantage of fuzzy preference relations defined by thresholds, capturing the variations of decision-makers’ judgments. We employ the Dempster-Shafer theory to model and aggregate belief structures across multiple criteria. The methodology constructs a belief decision matrix from alternative pairwise comparisons for each criterion, which is then processed using the ER approach to develop a comprehensive belief structure. This structure enables the derivation of partial and total preorders of alternatives through a distillation process inspired by the ELECTRE III method. The framework’s effectiveness is demonstrated with an illustrative example to rank tourist complex projects in a region with environmental restrictions.