International Journal of Intelligent Information Systems
Volume 4, Issue 1, February 2015, Pages: 1-7
Received: Nov. 28, 2014;
Accepted: Dec. 12, 2014;
Published: Jan. 26, 2015
Views 2567 Downloads 130
Tomas Georgievich Petrov, St. Petersburg State University, Institute of Earth Science, St. Petersburg, Russia
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.
Tomas Georgievich Petrov,
“Soft” System of Coordinates in Regular Simplexes, International Journal of Intelligent Information Systems.
Vol. 4, No. 1,
2015, pp. 1-7.
Vernadsky V.I. On the scattering of chemical elements. Selected works. V.1. AS USSR Press. 1954. - Pp. 517-527
Moelwyn-Hughes E.A. Physical chemistry. Mon. In 2 v. M. IIL, 1962 - 1148 p.
Gordienko V.V., Petrov T.G. Studying of rare-metal pegmatites using RHA language. // RMS Proceedings. – Part 110. – Iss.5 – 1981 Pp. 546-558
Kramarenko S.S. Features of using entropy information analysis for quantitative criteria of biological objects // Bull. Samara Sci. Centre of RAS. – 2005
Kukharenko A.A., Ilyinsky G.A., Ivanova T.N. et al. Clarkes of the Khibiny alkaline massif // RMS Proceedings 1968. – Part 97. Iss. 2. – Pp.133-149
Petrov T.G. Substantiation of a version of general classification of geochemical systems. // LSU Bulletin. No. 18. – 1971. – Pp. 30-38.
Petrov T.G. A problem of separation and mixing in inorganic systems. In: Geology. Ed by V.T. Trofimov, v.2. – Moscow State University. – 1995. – Pp.181-186.
Petrov T.G. Language-method RHA for describing, systematizing, and studying changes in compositions of any nature. // In: Cenological studies. Ed. B.I. Kudrin. Iss. 1 Mathematical description of cenoses and technetical laws. Abakan: SRC – 1996. – Pp.256-273
Petrov T.G. Information language for description of multi-component objects composition // Scientific and technical information. Ser. 2. – 2001. – No. 3. – Pp. 8-18.
Petrov T.G. Rank-entropy approach to description of compositions of geological objects and their changes (exemplified by geological cenology). // General and applied cenology. 2007. – No.5. – Pp.27-33
Petrov T.G. RHA method as a solution of systematization problem of analytical data on the material composition of geological objects. Otechestvennaja geology. 2008. – No.4. – Pp.98-105.
Petrov T.G. Hierarchical periodical system of chemical compositions and its association with the periodical system of elements. // SPbSU Bulletin. Ser. 7. 2009. – Iss. 2. Pp. 21-28.
Petrov T.G. Graphic Representation of Evolutionary Processes of Compositions of Multicomponent Objects of Any Nature // Automatic Documentation and Mathematical Linguistics. 2012. – V. 46. – No. 2. – pp. 79–93. © Allerton Press, Inc., DOI: 10.3103/S0005105512020045
Petrov T.G. RHA method for coding, systematizing, and displaying the changes in age compositions of population. // Coll. dedicated to the 60th anniversary of S.V. Chebanov (in press)
PetrovT.G. Separation-Mixing as a Model of Composition Evolution of any Nature. // J. Systemics, Cybernetics and Informatics V. 12. – N 1 – 2014. – Pp. 76-81.
Petrov T.G., Andriyanets-Buyko A.A., Moshkin S.V. A Two-Parameter Alphabet for Coding Structural-Chemical Information and its Systematization (Using the Example of Tourmaline).// Automatic Documentation and Mathematical Linguistics. 2012. – V. 46 –.No. 1. – pp. 40–49. SpringerLink Online– DOI 10.3103/S0005105512010086
PetrovT.G., Moshkin Sergey V. RHA(T)-System for Coding of Discrete Distributions and Their Alteration Processes. // Proc. The 3rd International Multi-Conference on Complexity, Informatics and Cybernetics IMCIC 2012. – 2012. – Pp. 12-16.
Petrov T.G., Krasnova N.I. R-dictionary-catalogue of mineral chemical compositions. Mon. St. Petersburg, – “Nauka”. – 2010. – 150 p.
Petrov T.G., Krasnova N.I. RHA-coding of mineral composition of crystalline rocks and method of their systematization. // Modern problems of magmatism and metamorphism. Mon. Vol.2 – St. Petersburg – 2012 – Pp. 120-123
Petrov T.G., Moshkin S.V. RHA method and its implementation in Petros-3 software system. Calculations in geology. 2011. – No.1. – Pp. 50-53.
Petrov T.G., Farafonova O.I. Information-component analysis. RHA method. Study guide. St. Petersburg – 2005. – 168 p.
Petrov T.G., Farafonova O.I., Sokolov P.B. Informational-entropic characteristics of composition of minerals and rocks as a reflection of crystallization process stress: RMS Proceedings – 2003. – No.2. – Pp. 33-40.
Khaustov V.V. Role of deep geodynamics in hydrolithosphere formation (exemplified by the Caspian-Caucasus segment of the Alpine-Himalayan mobile belt. Abstract of Doc. Thes. St. Petersburg – 2011 – 40 p.
Khaustov V.V. Towards the problem of mud volcano water formation in the South Caspian basin // “Space and Time” Almanac. T. 1. – Iss. 1 – 2012.
Chebanov S.V. Logical fundamentals of linguistic typology. Mon. Vilnius. VLANI. 1996. – 92 p.
Chebanov S.V. Optimality and extremality in culture, zipfiades and Lotman’s law. // In: Technogenic self-organization and mathematical apparatus of cenologic studies. M SRC. – Iss. 28. – 2005 – Pp.411-428
Chebanov S.V. Dynamics of cultural forms.// In: Fundamental problems of cultural studies in 4 vol. Cultural dynamics v.3. St. Petersburg. Aletheia. 2008. – Pp. 184-197
Chebanov S.V., Petrov T.G. Intensionality, intensional alphabets, intensional words and dictionaries // In: Actual problems of modern cognitive science. Ivanovo. – 2013. – Pp.239-266
ShuruborYu.V. On one property of complexity measure of geochemical systems.// Proceedings of the AS USSR. – 1972. – V. 205. – No.2. – Pp. 453-456