The organizations management multi-criteria objects aggregate rating construction
https://doi.org/10.20914/2310-1202-2021-2-251-258
Abstract
The article deals with the higher education institutions national aggregate rating constructing problem. This task is relevant in terms of improving management processes in educational organizations. This problem is formulated as a collective choice problem. Proposed to use voting in small groups as aggregation procedures, which satisfies the Condorcet principle. Three collective choice rules description is given in the paper. Obtained on the Bord, Copeland and Kemeny basis procedure salternatives final orderings stability is illustrated by concrete examples. The empirical mean is considered as a Kemeny median approximation. The Bord procedure instability with respect to changes in the initial scores obtained by universities in the ranking mechanisms under consideration is illustrated by examples. This paper presents the results of applying the described small-group voting procedures to a limited sample. This sample consists of data from 15 higher educational institutions from one of the Russian Federation regions. Universities constructed three aggregated ranks proximity degree was evaluated using two metrics - Kendall's rank correlation coefficient and Kemeny's distance. Based on the obtained results comparative analysis, it was made a conclusion about the expediency of using Condorcet-consistent collective selection procedures when constructing educational organizations aggregate ranking.
About the Authors
B. E. Nikitin
Voronezh State University of Engineering Technologies
Russian Federation
Russian Federation
Cand. Sci. (Phys.-Math.), associate professor, high mathematics and IT department, Revolution Av., 19 Voronezh, 394036, Russia
M. N. Ivliev
Voronezh State University of Engineering Technologies
Cand. Sci. (Engin.), associate professor, high mathematics and IT department, Revolution Av., 19 Voronezh, 394036, Russia
K. V. Chekudaev
Voronezh State University of Engineering Technologies
Cand. Sci. (Econ.), associate professor, economic security and financial monitoring department, Revolution Av., 19 Voronezh, 394036, Russia
E. S. Akatov
Voronezh State University of Engineering Technologies
Cand. Sci. (Engin.), associate professor, quality management and aquatic bioresources technology department, Revolution Av., 19 Voronezh, 394036, Russia
Y. V. Bugaev
Voronezh State University of Engineering Technologies
Dr. Sci. (Phys.-Math.) professor, high mathematics and IT department, Revolution Av., 19 Voronezh, 394036, Russia
I. I. Vorona
Voronezh State University of Engineering Technologies
student, high mathematics and IT department, Revolution Av., 19 Voronezh, 394036, Russia
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Review
For citations:
Nikitin B.E., Ivliev M.N., Chekudaev K.V., Akatov E.S., Bugaev Y.V., Vorona I.I. The organizations management multi-criteria objects aggregate rating construction. Proceedings of the Voronezh State University of Engineering Technologies. 2021;83(2):251-258. (In Russ.) https://doi.org/10.20914/2310-1202-2021-2-251-258
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