Solving multicriteria problems of rating alternatives based on pairwise comparisons

Well-known examples of multicriteria problems of evaluating alternatives based on paired comparisons are considered. Numerical solutions to these problems are presented, obtained using the method of analytic hierarchy process, the method of weighted geometric means, and also a method based on the log-Chebyshev approximation of pairwise comparison matrices. When solving problems using log-Chebyshev approximation, models and methods of tropical mathematics are used, which studies the theory and applications of algebraic systems with idempotent operations.

Authors

Publication Details

Journal
Computer Tools in Education
Published
2024-08-29
DOI
https://doi.org/10.32603/2071-2340-2024-2-5-29
Citations
2
Primary Topic
Economic and Technological Systems Analysis
Type
article
Field-Weighted Citation Impact
1.46
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article

Solving multicriteria problems of rating alternatives based on pairwise comparisons

Nikolai Krivulin, A Filatova, Alexey Prinkov, D.N. Grigoriev et al.
2 citations
Computer Tools in Education
Economic and Technological Systems Analysis
1.46
article

Solving multicriteria problems of rating alternatives based on pairwise comparisons

Nikolai Krivulin, A Filatova, Alexey Prinkov, D.N. Grigoriev, Daria Bulgakova, Karina Nagumanova, Yana Salova
article en
2 citations

Abstract

Well-known examples of multicriteria problems of evaluating alternatives based on paired comparisons are considered. Numerical solutions to these problems are presented, obtained using the method of analytic hierarchy process, the method of weighted geometric means, and also a method based on the log-Chebyshev approximation of pairwise comparison matrices. When solving problems using log-Chebyshev approximation, models and methods of tropical mathematics are used, which studies the theory and applications of algebraic systems with idempotent operations.

Computer Tools in Education(2)
Openalex Percentile: Top 13%
Economic and Technological Systems Analysis
1.46
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