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Num. Meth. Prog., 2011, Volume 12, Issue 2, Pages 220–226 (Mi vmp188)  

Вычислительные методы и приложения

Empirical reconstruction of a fuzzy model and the reduction of measurements in Euclidean metric

T. A. Kopita, A. I. Chulichkova, D. M. Ustininb

a M. V. Lomonosov Moscow State University, Faculty of Physics
b Department of Biology, M.V. Lomonosov Moscow State University

Abstract: In the framework of a fuzzy model being refined by test measurements, experimental data are reduced to a form characteristic for measurements made by an ideal measuring device. A model of a measurement error is formulated in terms of fuzzy constraints imposed on its Euclidean norm. The solution of the reduction problem is illustrated by the example of a photosynthetic system when the measured parameters are the amount of the synthesized adenosine triphosphate and the mean concentration of protons and the parameter under estimation is the time period during which the reduced measurements are obtained. The work was supported by the Russian Foundation for Basic Research (projects 11-07-00338, 09-01-96508, and 09-07-00505).

Keywords: mathematical modeling; decision making; analysis and interpretation of data; measurement and computing systems; theory of possibilities; fuzzy element.

Full text: PDF file (197 kB)
UDC: 519.95

Citation: T. A. Kopit, A. I. Chulichkov, D. M. Ustinin, “Empirical reconstruction of a fuzzy model and the reduction of measurements in Euclidean metric”, Num. Meth. Prog., 12:2 (2011), 220–226

Citation in format AMSBIB
\Bibitem{KopChuUst11}
\by T.~A.~Kopit, A.~I.~Chulichkov, D.~M.~Ustinin
\paper Empirical reconstruction of a fuzzy model and the reduction of
measurements in Euclidean metric
\jour Num. Meth. Prog.
\yr 2011
\vol 12
\issue 2
\pages 220--226
\mathnet{http://mi.mathnet.ru/vmp188}


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