Evaluation of importance of figures by pairwise comparisons with scalarization of vector criterion

Authors

  • Татьяна Игоревна Каткова Berdyansk University of Management and Business Svobody, 117, Berdyansk, Ukraine, 71100, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2015.40567

Keywords:

analytic hierarchy process, pairwise comparison method, weighting factors, evaluation of figures, approximate problem solution

Abstract

The author draws attention to the overall design flaw of traditional methods for evaluating the importance of particular object figures, associated with insufficient adequacy of procedures for calculating the weighting factors. Traditional technologies are based on processing the expert survey results. At the same time, experts, independently evaluating the relative importance of particular figures, rank them, and then the sum of the ranks determines the final estimate of the importance of each figure. In fact, the weighting coefficients, calculated according to the above scheme, uniquely determine only the place that was taken by the corresponding figures in the table of ranks. However, the real importance of the two figures, having taken the next places in this table may differ much more significantly than it is determined by their place. This flaw is of a general nature. In such a situation, analytic hierarchy process, based on a paired preference of one figures over the other has been used recently. The author has proposed a modified pairwise comparison procedure to assess the importance of the object quality figures. In this case, if the elements of the pairwise comparison matrix, formed based on the expert survey results, are not agreed, correction of this matrix is carried out.

Author Biography

Татьяна Игоревна Каткова, Berdyansk University of Management and Business Svobody, 117, Berdyansk, Ukraine, 71100

PhD. ped. sciences, docent

Chair of Mathematics and Mathematical Methods

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Published

2015-04-23

How to Cite

Каткова, Т. И. (2015). Evaluation of importance of figures by pairwise comparisons with scalarization of vector criterion. Eastern-European Journal of Enterprise Technologies, 2(4(74), 62–68. https://doi.org/10.15587/1729-4061.2015.40567

Issue

Section

Mathematics and Cybernetics - applied aspects