The object of research is
Technology for constructing models of functioning systems under uncertainty
The aim of research is to
Development of a procedure for estimating regression equation parameters for a sample of fuzzy data
Paper title
Artificial orthogonalization of a passive experiment for a small sample of fuzzy data for constructing regression equations
Keywords
mathematical model, passive experiment, artificial orthogonalization, truncated orthogonal design, compactness of the uncertainty body, membership function, fuzzy value of the regression coefficient
Main scientific results imply the following
The problem related to constructing regressions for a small sample under uncertainty of the response function estimated is solved. The problem is solved if the measured values of the function are taken as fuzzy numbers with known membership functions
Scope of application
Development of materials, technologies, diagnostics in engineering, medicine, economics, forecasting of economic and social systems under uncertainty
Limitations for practical use
Input variables must be deterministic, the membership functions of the fuzzy value of the response function are given in Gaussian form