Title: Conceptual fundamentals of a theory of mathematical interpretation

Authors: Sergii Kavun

Addresses: Department of Information Technologies, Kharkiv Institute of Banking, University of Banking, National Bank of Ukraine, 61174, Kharkiv, Peremogy av. 55, Ukraine

Abstract: The main purpose of this paper is to show some conceptual fundamentals for a new theory of mathematical interpretation (TMI), which can be used for solving the non-formalised and heavy-formalised tasks in different areas of science. This theory has all principal factors, which are inherent to any theory. Foremost, this theory has the historical, theoretical, mathematical and simulation fundamentals. In addition, it has the mathematical description as a set of the postulates. Thus, this theory will be able to expand a sphere of using of an existing mathematical tool in other (specific) areas of science and some possibilities for their further application. This everything is confirming the uniformity and comprehensiveness of the existing mathematical tool, and it is showing some possibilities of a mutual penetration of different areas to each other.

Keywords: mathematics; interpretation theory; mathematical fundamentals; heavy-solved tasks; non-solved tasks; non-formalised tasks; fuzzy logic; optimisation; scientific approach; economics; theory of mathematical interpretation.

DOI: 10.1504/IJCSM.2015.069459

International Journal of Computing Science and Mathematics, 2015 Vol.6 No.2, pp.107 - 121

Received: 06 Jan 2014
Accepted: 24 May 2014

Published online: 17 May 2015 *

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