The described representation of a fuzzy system enables an approximate functional characterization of the inferred output of the fuzzy system. With polynomial subsystem inferences, the approximating function is a sum of polynomial terms of orders depending on the numbers of input membership functions. The constant, linear, and nonlinear parts of the fuzzy inference can hence be identified. The present work also includes two applications which show that the procedure can very well approximate the differential equations. In the case of no analytical solution, the procedure is a good alternative.
Abstract-There are different kinds of tumours in childhood: nephroblastoma, clear cell sarcoma, neuroblastoma etc. For diagnosis MRI (Magnetic resonance images) are used. Our research is the first mathematical approach on MRI(Magnetic resonance images) of renal tumours. We are using transversal, frontal and sagittal images and compare them in their potential for differentiation different kind of tumours. The procedure of getting three dimensional landmarks by using the edges of the platonic body (C60) as well as a test for the mean shape with the same diagnosis to all others are shown. Eventually we discuss the results for the oncology.
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