<p>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.</p>

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An outranking approach for the multicriteria ranking problem using fuzzy preference relations and evidential reasoning

  • Juan Carlos Leyva-Lopez

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.