Abstract
Multi-Criteria Decision-Analysis (MCDA) methods are successfully applied in different fields and disciplines. However, in many studies, the problem of selecting the proper methods and parameters for the decision problems is raised. The paper undertakes an attempt to benchmark selected Multi-Criteria Decision Analysis (MCDA) methods. To achieve that, a set of feasible MCDA methods was identified. Based on reference literature guidelines, a simulation experiment was planned. The formal foundations of the authors’ approach provide a reference set of MCDA methods ( Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR), Complex Proportional Assessment (COPRAS), and PROMETHEE II: Preference Ranking Organization Method for Enrichment of Evaluations) along with their similarity coefficients (Spearman correlation coefficients and WS coefficient). This allowed the generation of a set of models differentiated by the number of attributes and decision variants, as well as similarity research for the obtained rankings sets. As the authors aim to build a complex benchmarking model, additional dimensions were taken into account during the simulation experiments. The aspects of the performed analysis and benchmarking methods include various weighing methods (results obtained using entropy and standard deviation methods) and varied techniques of normalization of MCDA model input data. Comparative analyses showed the detailed influence of values of particular parameters on the final form and a similarity of the final rankings obtained by different MCDA methods.
Highlights
Making decisions is an integral part of human life
Taking into account the systematics of the decision problem itself and the classical paradigm of single criterion optimization, it should be noted that it is widely accepted to extend the process of decision support beyond the classical model of single goal optimization described on the set of Symmetry 2020, 12, 1549; doi:10.3390/sym12091549
The common Multi-Criteria Decision-Analysis (MCDA) methods belonging to the American school include Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) [9,10,11], VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) [12], Analytic Hierarchy Process (AHP) [13,14], and Complex Proportional Assessment (COPRAS) [15]
Summary
Making decisions is an integral part of human life All such decisions are made based on the assessment of individual decision options, usually based on preferences, experience, and other data available to the decision maker. The concept of rational decisions is, at the same time, a paradigm of multi-criteria decision support and is the basis of the whole family of Multi-Criteria Decision-Analysis (MCDA) methods [8] These methods aim to support the decision maker in the process of finding a solution that best suits their preferences. Such an approach is widely discussed in the literature. The result of the research is a dynamic development of new MCDA methods and extensions of existing methods [22]
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