Identification of the state of an object under conditions of fuzzy input data
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2019, Vol 1, Issue 4
Abstract
The modernization of the methods for identification of the state of objects under conditions of fuzzy input data, described by their membership functions, was performed. The selected direction of improvement of traditional methods is associated with the fundamental features of solving this problem under actual conditions of a small source data sample. Under these conditions, to solve the problem of state identification, it is advisable to transfer to the technology of description of source data, based on the mathematical apparatus of fuzzy mathematics and less demanding in terms of information. This transition required the development of new formal methods for solving specific tasks. In this case, the procedure for solution of the fuzzy system of linear algebraic equations was developed for multidimensional discriminant analysis. To solve the clustering problem, a special procedure of comparison of fuzzy distances between objects of clustering and centers of grouping was proposed. The selected direction of improvement of the traditional method for regression analysis was determined by impossibility of using the classical least squares method under conditions when all variables are described fuzzily. This fact led to the need to construct a special two-step procedure for solving the problem. In this case, the linear combination of the measure of distance of the sought-for solution from the modal one and the measures of compactness of membership function of the explained variable are minimized. The technology of fuzzy regressive analysis was implemented in the important practical case when the source fuzzy data are described by general membership functions of the (L-R) type. In addition, the analytic solution to the problem in the form of calculation formulas was obtained. The discussion showed that the modernization of the classical methods for solving the problem of the state identification, considering the fuzzy nature of representation of source data, made it possible to identify objects under actual conditions of a small sample of fuzzy source data
Authors and Affiliations
Serhii Semenov, Oksana Sira, Svitlana Gavrylenko, Nina Kuchuk
Keywords
Related Articles
- EP ID EP666178
- DOI 10.15587/1729-4061.2019.157085
- Views 70
- Downloads 0
Electroextraction of heavy metals from wastewater for the protection of natural water bodies from pollution
<p>The most promising methods of eluates recycling are electrolysis and electrodialysis. It is possible to obtain metals and purified regeneration solutions for repeated regeneration in case of application of electrochem...
Analog of the classical borel theorem for entire harmonic functions in ℝn and generalized orders
<p>The article describes research on the growth of functions that are harmonic in the whole space ℝ<sup>n</sup>, n≥3, and thus they are called entire harmonic.</p><p>A relation has been established between the maximum te...
Effect of flour made from waxy wheat on the structural–mechanical properties of dough for hardtacks without sugar
We have analyzed problems arising in the production of bakery products without sugar or with its reduced content. The technological properties of flour made from a new kind of wheat, the waxy wheat variety Sofiyka, which...
A method of designing of torque-flow pump impeller with curvilinear blade profile
<p>The research is devoted to energy efficiency increasing of a “Turo” type torque-flow pump by improving its impeller. This allows minimizing the total pump installation life cycle cost as a result of reducing the costs...
Aspects of making of a composite material when using red mud
<p class="21">A composite material was developed with the polymeric binder at the elevated concentration of a technogenic raw material, 75 % by weight of red mud, as the filler. Dependence of indicators of composite prop...