Tonitsa O. Modelling of physical fields by means of the R-functions theory and fuzzy logic

Object of investigation for the thesis is problems of modelling physical-mechanical fields, containing assumptions on physical and geometrical information, measuring and rounding errors. The aim of this work is creating constructive methods and algorithms for simulation of fields, allows us to take into account assumptions and errors, and on the basis of analysis of complex influence on the solution to receive expert conclusion. Methods of investigations is the R-functions theory, fuzzy logics, interval analysis and theory of parallel systems. The theoretical basis and methods of stochastic simulation of physical-mechanical fields is elaborated. Practical valuable contribution is elaborating and practical investigation of methods and algorithms for simulation, which constructive allows assumptions on physical and geometrical information and may be used for wide class of applied problems. The new results in the theory of basis of modelling is obtained, and original methods and algorithms for modelling o f fields in class of fuzzy solutions, which is base of expert systems, is elaborated. Application of results obtained in expert systems, systems for automatization of scientific investigation in solving problems in conditions of apriory infinition and automation design.