ONE-DIMENSIONAL ANALYTICAL GEOMETRY OF MULTIDIMENSIONAL ANALYSIS
Journal Title: Наукові праці. Серія "Педагогіка" - Year 2017, Vol 303, Issue 291
Abstract
Output criteria’s for minimized estimates of multidimensional analysis of Ki(Z), where i = 1, 2, ..., m – the sequence numbers of the output criteria’s; Z = (z1, z2, ..., ze, ..., zE) – the vector of input variables and input collapsed estimates in relative units in Parallel Coordinates (for ze = 0 ... 1), visualized on all axes by representing them with the results of elementary collapsed exits estimates Е і е еі К Z f 1 ( ) eі Е е eі e w z m 1 , where ze = 0 ... 1 – input variables and input collapsed estimates in relative units; wei – calculated or determined by the expert weight coefficients of influence of the magnitude zе on the exit criteria’s Кi(Z) under condition E e eі w 1 1; теі= 0…Аі – determined by the expert diminutive (at Ai <1) or magnifying (with Ai> 1) qualitative coefficients taking into account the peculiarities of the influence of the determined quantities ze on the outputs of Кi(Z): by the method of their determination, by accuracy, probability of realization etc.; wеіzе – the plane in which the weight factor wеі is the width along the axis of abscise under condition E e e w 1 1, and the numerical values zе = 0 ... 1 are the height along the ordinate axis (the values wеіzе acquire measurements of the outputs Кi(Z), and the entire system becomes «one-dimensional»); fеі=теіwеіzе – elementary minimized exit estimates; e = 1, 2, ..., E – the serial numbers of the inputs ze and fei. Usually, the output of Ki(Z) is less than 1. Because of the one-dimensionality of the inputs and outputs of the analytic geometry in question, only simple geometric objects can be visualized on the axes of coordinates: point; positive and negative segments and planes with one-dimensional dependence.
Authors and Affiliations
V. J. Kutkovetsky
Keywords
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