ANALYSIS OF LINGUISTIC SYSTEMS
Journal Title: Наукові праці. Серія "Педагогіка" - Year 2018, Vol 311, Issue 299
Abstract
Currently, the linguistic systems (LS), by which we understand linguistic description of intellectual decision-making systems, po-litical science, economics, sociology and other sciences, whose basic ideas regarding the analysis of their states are described in the form of geometric «linguistic images» visualized on the plane. The metrics of the LS coordinate axes have properties that distinguish them among the axes of the coordinates of the «pure» mathematical sciences, what makes it possible to treat LS as a separate direc-tion of analysis in mathematics: the numerical values of the opposite polar entities of one linguistic coordinate axis may have the same signs instead of the signs «±»; without loss of orthogonality to all axes, the linguistic variable of one axis of the LS coordinates can be a composite of the collapsed variables of other axes of coordinates of the same LS; the linguistic variable of one axis of the LS coordinates can include a number of variables and a sets of fuzzy universes with physically different objects, which characterizes the state of the LS, can be part of a series of axes and gradually changes along the axis of coordinates to its opposite essence; LS permit to use numerical axis of coordinates (using the signs «±» and with the corresponding interpretation of metrics). The above geometric analysis of linguistic systems (GALS) is aimed at improving the forecasting of their states and visualization of their solution with an arbitrary increase in the number of incoming linguistic, numerical, qualitative and collapsed data.
Authors and Affiliations
V. J. Kutkovetsky
Keywords
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