Improvement of the Algorithm of Algebraic Constructive Logic Model

Abstract

For many years, algebraic constructive logic model is used for multivariate analysis in medicine and biology. The classic version of this model includes the exclusion of contradictory accounts, i.e. when the target is achieved and not achieved in the presence of the same values of the factors. In this case, the lines as appropriate to achieving target, and its failure are removed, including significant proportions. Another feature of this algorithm is the partial overlap of the intervals to determine the factors resulting in components in achieving a target and not achieving despite the exclusion of contradictory accounts. The authors explain this by the fact that the classical algorithm generates the detection limits of the factors in resulting components with some capture values that are related to the lines of not achieving the target (up to inappropriate values). To some extent this reduces the accuracy of the mathematical model. A further feature of the algorithm is the necessary to optimize mathematical model by excluding re-coating lines. This is acceptable, but not optimal. This requires additional procedures at the final stage of formation of the mathematical model.
 
 The proposed version of the algebraic model of constructive logic allows to eliminating the above drawbacks. This is achieved the measure of approximation and a way of combining the cases in the resulting components. The proposed algorithm was tested using specially designed software that allows to exclude controversial cases and to form a mathematical model. Testing showed that the proposed algorithm is better than the classic version and meets the objectives of multivariate analysis in medicine and biology.

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

“…Необходимо помнить, что при недоста-точной уверенности в верификации исходного массива данных следует использовать модерни-зированный вариант АМКЛ [42]. В этом случае результирующая математическая модель будет менее компактной, но более точной.…”

“…Среди различных методов многофакторного анализа обращает на себя алгебраическая модель конструктивной логики (АМКЛ), позволяющая выполнять многофакторный анализ без предва-рительного обучения, обладает прозрачностью результата и средствами его анализа [10,26,28,42,44,48,49].…”