Научная визуализация, 2020, том 12, номер 4, страницы 23 - 32, DOI: 10.26583/sv.12.4.03
Application of Visual Analytics Methods to Reduce the Dimensionality of Decision-making Problems
Авторы: A.A. Zakharova1,A,B, D.A. Korostelyov2,A,B
A Keldysh Institute of Applied Mathematics Russian Academy of Sciences, Moscow, Russia
B Bryansk State Technical University, Bryansk, Russia
1 ORCID: 0000-0003-4221-7710, zaa@tu-bryansk.ru
2 ORCID: 0000-0002-0853-7940, nigm85@mail.ru
Аннотация
The article discusses the possibilities and approaches to the use of visual analytics methods to reduce the dimension of decision-making problems. The main directions of reducing the dimension of the decision-making problem, as well as increasing its information content using three-dimensional visualization methods are highlighted: filtering alternatives, grouping and ranking criteria. The application of several methods of visualization of choice set and criteria set are considered: histograms with grouping by alternatives, histograms with grouping by criteria, correlation surfaces of criteria. The advantages and disadvantages of visualization methods are highlighted in relation to solving the problem of reducing the dimension of choice set and criteria set. The basic principles of increasing the efficiency of visual analytics of three-dimensional images for decision-making problem in order to reduce its dimension are noted. A description of an experiment on visual analytics of three-dimensional images is given on the example of the problem of choosing an optimal solver OpenFOAM (out of three alternatives) based on 24 results of computational experiments of supersonic flow around a cone with different initial parameters. It is noted that with the help of visual analytics, it was possible to find an error in one of the computational experiments, to reduce the number of alternatives to two, and the number of criteria to five, which made it possible to apply traditional decision-making methods to this problem and choose the optimal solver.
Ключевые слова: Alternatives Visualization, Multi-criteria Alternatives, Decision-making Problems Dimension Decrease, Criteria.
