“Soft” System of Coordinates in Regular Simplexes
Tomas G. Petrov · International Journal of Intelligent Information Systems · 2015
In different areas of knowledge, there are common problems of coding and ordering of multicomponent compositions of objects as well as representation of their processes of change. These problems are solved by the language-method RHAT. It can be considered as a coordinate system of regions in space limited by regular simplex. Here R is a sequence of composition components by decrease – names of sectors in the simplex distinguished by hypermedians, a semiquantitative substantial characteristic of compositions, "word" of a new type; H – Shannon information entropy – entropy of mixing; A – anentropy – entropy of separation; T – tolerance. The arrangement of coordinates allows obtaining an alphabetical hierarchical periodic system of compositions (HPSC) of objects of different nature, in particular, the Hierarchical Periodic System of Chemical Compositions (HPSCC) that uses the Periodic System of Elements (PSE) as an alphabet, as well as the Hierarchical Periodic System of Molecular Compositions (HPSMC) that uses HPSCC as an alphabet. Diagrams HA or HT are designed to display random and ordered sets of compositions of any nature as the most appropriate means of studying the processes of separation and mixing. The applicability of the method has been tested on analytical materials in natural and social science fields.