The programm for highlighting the main components resulting in the algebraic model of constructive logic

Хромушин, В А; Хромушин,; Хромушин, О. В.

doi:10.12737/5612

Cited by 4 publications

(1 citation statement)

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“…Единичные случаи чаще всего не являются характерными для выбранной цели анализа. В этом случае следует воспользоваться алгоритмами и программой выделения главных результирующих составляющих [30,40,45].…”

Section: обзорыunclassified

The use of an algebraic model of a construction LOGICS IN VEST-MEDICAL MEDICINE (review of materials of own research for 34 years)

Kitanina¹,

Хромушин²,

Hromushin

et al. 2017

Clinical Medicine and Pharmacology

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Section: обзорыunclassified

The use of an algebraic model of a construction LOGICS IN VEST-MEDICAL MEDICINE (review of materials of own research for 34 years)

Kitanina¹,

Хромушин²,

Hromushin

et al. 2017

Clinical Medicine and Pharmacology

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Formation of analytical data for multivariate analysis using algebraic model of constructive logic

Fedorov¹,

Kitanina²,

Хромушин³

et al. 2015

Journal of New Medical Technologies. eJournal

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Mathematical device of algebraic model of constructive logic has been used for many years for multivariate analysis in medicine and biology. The resulting mathematical model is represented by a set of output components in the form of factors indicating the detection restrictions, which are united by the sign of con-junction (indicating joint influence). Each resulting component is characterized by a capacity, which is the es-sence of the number of rows in the table with the same factors and their intervals of definition. These capacities characterize the degree of influence of the resulting component on the overall result. The input table must not contain contradictions (when the goal is achieved and not achieved when the same values of the factors). For this purpose, the computer program provides for an exception to those target lines, which coincide with non-target rows. However, this is not always acceptable in cases of a large number of matching target lines and unit numbers of non-target rows or vice versa, because a large number of cases is excluded because of a single non-target rows or single target lines. These contradictions arise, primarily, due to the probabilistic nature of the cases. This is clearly seen in the monitoring of mortality. In this article the authors propose three ways optimum yield conflicting source data, based on the excess multiplicity of frequencies matching target and non-target cases and estimates of confidence intervals. The pro-posed methods are examined by analyzing data on deaths of persons aged 18 years and older, residents of the Tula region for 2007-2014 (total 208269 cases). An age cohort 45-54 years is a goal of study. The application of methods of optimum yield conflicting source data is a necessity, which not only im-proves the mathematical model, but, in some cases, is the only way to perform multivariate analysis. All pro-posed methods have their own scope of use, depending on the circumstances.

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The target orientation of the multivariate analysis using algebraic model of constructive logic

Fedorov¹,

Kitanina²,

Хромушин³

et al. 2015

Journal of New Medical Technologies. eJournal

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Multivariate analysis, including algebraic model of constructive logic, is often used in medical practice and biological research. To carry out such studies, it is necessary a array of source information (analyzed cases) and purpose, which is most often selected one of the values of the factors. At the same time, in the practice of analytical calculations there are cases when the target value cannot be set explicitly. The aim of this work is to provide a method of calculating target values for specific cases of morbidity and mortality. The proposed method is based on counting the number of instances of each value of each factor and their share in the total number of cases. The product of the assessed values of each involved factor, compared with the set of the threshold value, determines a value corresponding to the achievement of the goal. To confirm the proposed method on the array of 208269 deaths, the authors built a mathematical model using algebraic model of constructive logic. Evaluation of a mathematical model confirmed the performance of the proposed method of calculating the target value, since the simulation results are most consistent with known estimates obtained by other methods.

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The programm for highlighting the main components resulting in the algebraic model of constructive logic

Cited by 4 publications

References 0 publications

The use of an algebraic model of a construction LOGICS IN VEST-MEDICAL MEDICINE (review of materials of own research for 34 years)

The use of an algebraic model of a construction LOGICS IN VEST-MEDICAL MEDICINE (review of materials of own research for 34 years)

Formation of analytical data for multivariate analysis using algebraic model of constructive logic

The target orientation of the multivariate analysis using algebraic model of constructive logic

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