ABOUT ONE APPROACH FOR DETERMINING THE SENSITIVITY OF MATHEMATICAL MODELS
The article presents a new alternative approach for determining the sensitivity of mathematical models. Mathematical models (MM) operate on the basis of input and output, which are transmitted to and extracted from embedded mathematical algorithms. These algorithms, which have parameters, chang...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Information Technology Publishing House
2025-07-01
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| Series: | Problems of Information Society |
| Online Access: | https://jpis.az/uploads/article/en/2025_2/ABOUT_ONE_APPROACH_FOR_DETERMINING_THE_SENSITIVITY_OF_MATHEMATICAL_MODELS.pdf |
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| Summary: | The article presents a new alternative approach for determining the sensitivity of
mathematical models. Mathematical models (MM) operate on the basis of input and
output, which are transmitted to and extracted from embedded mathematical
algorithms. These algorithms, which have parameters, change when these
sensitivity parameters of mathematical models change. This change in sensitivity
can lead for the better, or maybe for the worse. The construction of a mathematical
model is usually accompanied by problems in calculating the influence of inputs
(other names: argument or factor). These problems are solved in the field of
mathematics, which is called sensitivity analysis of mathematical models. To solve
the problem of finding the sensitivity of mathematical models, the author proposes
to find a criterion that allows not directly, but indirectly to determine the sensitivity.
This criterion is derived on the basis of mathematical logic, and its experimental
confirmation is also carried out. Further in the article, using a new criterion, one
example is the best sensitivity of computer systems. In the article there is a proof of
the criterion using the Monte Carlo method. |
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| ISSN: | 2077-964X 2309-7566 |