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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2019 Volume 20, Issue 1, Pages 94–111 (Mi cheb720)

Investigation of systems of real functions on two-dimensional grids using fuzzy sets

A. D. Gvishianiab, S. M. Agayanb, Sh. R. Bogoutdinovba

a Schmidt Institute of Physics of the Earth RAS, Moscow
b Geophysical Center RAS, Moscow

Abstract: This work deals with the description of the study of a finite function system on a finite two-dimensional grid able to consider any expert's point of view on the given functions, their features and dynamics. The program is implemented using the fuzzy sets and fuzzy logic language, it consists of several stages and, ultimately, makes it possible to decide in which areas of the initial set the system of given functions behaves most interestingly from an expert point of view.

Keywords: fuzzy mathematics, nearness measures, dinamic indicators, anomality measures, functional clusterization.

UDC: 51-7, 519.816

Received: 02.02.2019
Accepted: 10.04.2019



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