Method of connected projections and its use for visualization of multidimensional data

The method of the connected projections is suggested providing the visualization on the plane of the multidimensional data in the form of geometric objects - polygons and broken lines. One more new tool is added to standard means of multidimensional data visualization - the introduction of the visualization plane heterogeneity. The model of the connected projections consists of the quadrants of the same size that are connected in a special way. The located in each quadrant two-dimensional projections of a multidimensional point are connected, forming polygons or broken lines. The analysis of the existing methods of multidimensional data visualization is given and the set of rules for the construction of models of the connected projections is provided. Some quantitative and algebraic properties of the introduced geometric objects are investigated. The main advantages of the method and the features of its computer implementation are listed. The peculiarities are given of using the method for the visualization of multidimensional matrix models in solving the problems of strategic planning and for the visualization of multicriteria alternatives in solving the problems of multicriteria optimization.