Linear Programming for Multi-Criteria Assessment with Cardinal and Ordinal Data: A Pessimistic Virtual Gap Analysis
This addresses the issue of subjective biases and data diversity in multi-criteria decision-making for users of decision support systems, though it appears incremental as it builds on existing VGA models.
The paper tackles the problem of unreliable and imprecise multi-criteria analysis by proposing a novel linear programming-based Virtual Gap Analysis method that assesses alternatives from a pessimistic perspective using both cardinal and ordinal data, resulting in a dependable and scalable approach for decision support systems.
Multi-criteria Analysis (MCA) is used to rank alternatives based on various criteria. Key MCA methods, such as Multiple Criteria Decision Making (MCDM) methods, estimate parameters for criteria to compute the performance of each alternative. Nonetheless, subjective evaluations and biases frequently influence the reliability of results, while the diversity of data affects the precision of the parameters. The novel linear programming-based Virtual Gap Analysis (VGA) models tackle these issues. This paper outlines a two-step method that integrates two novel VGA models to assess each alternative from a pessimistic perspective, using both quantitative and qualitative criteria, and employing cardinal and ordinal data. Next, prioritize the alternatives to eliminate the least favorable one. The proposed method is dependable and scalable, enabling thorough assessments efficiently and effectively within decision support systems.