Elicitation of Criteria Weights for Multicriteria Models: Bibliometrics, Typologies, Characteristics and Applications

Abstract

Goal: This study aims to review and classify the main methods of criteria weights definition.Design / Methodology / Approach: From a systematized search were articles selected and analyzed, covering a timeline between 1949 and 2020.Results: Fifty sex methods were identified and discussed. Most (49) are subjective, eleven are objectives and three are hybrids. Considering the aggregation procedure, 33 are compensatory and 23 are non-compensatory. Most of the methods are for a single decision maker and just eleven are multidecision makers. The main contributions are published on European Journal of Operational Research journal. Limitations of the investigation:This work does not make a thorough technical analysis of the presented methods and it is not a notebook to indicate to researchers which method is the best for each type of situation. Some methods may not have been included. Practical implications:The selection and the definition of criteria weight is a fundamental question in the Multicriteria Decision Aid (MDCA) approach. The MCDA has a wide application on operation and production management. The diversity of published papers on this subject, the comprehension of its characteristics and applicability is a complex task for researchers and professionals who demand these techniques.Originality / Value: This work contributes to identify the state of the art of the models applied to the weight of the criteria, as well as to identify its characteristics and functionality regarding MCDA modeling.

Modifying Hellwig’s Method for Multi-Criteria Decision-Making with Mahalanobis Distance for Addressing Asymmetrical Relationships

“…In the later analyses, we implemented equal weights. However, it should be noted that in the literature, various proposals exist for establishing weights [59][60][61][62][63][64]. Tzeng et al [65] classifies weighting methods as objective when weights are computed from outcomes and subjective when they depend only on the preferences of decision-makers.…”

“…The third class is the combination of subjective and objective weighting methods. Da Silva et al [62] identified and discussed more than 50 methods, of which 49 are subjective, 7 are objective, and others are hybrid.…”

Extended Hellwig’s Method Utilizing Entropy-Based Weights and Mahalanobis Distance: Applications in Evaluating Sustainable Development in the Education Area

“…Multi-criteria decision-making (MCDM) is an important field in operations research and decision analysis, providing structured approaches to handle complex decision problems involving multiple, often conflicting, criteria [ 1 , 2 , 3 ]. The motivation for this study is related to the assessment of criteria weights and whether they are independent or dependent on one another [ 4 , 5 , 6 , 7 , 8 ] within the multi-criteria procedure. This issue plays a critical role in shaping the decision process and the outcome [ 8 , 9 , 10 ].…”

Prioritizing Criteria to Evaluate Project Success: Modeling With the Analytic Hierarchy Process (Ahp)

“…It is necessary for leaders to be able to determine the relative importance of the factors or criteria that influence the success of projects. Despite existing efforts to There are several published works that discuss establishing criteria weights in the context of project evaluation including da Silva et al (2021), Roy, Das, Kar and Pamučar (2019), Šenitková, Burdová and Vilčeková (2010), Yi, Li and Zhang (2019) and Zagonari (2016). However, despite the great advances achieved in these studies, most of them do not use modeling based on trade-offs for the treatment of the data collected regarding the importance of criteria.…”