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Cybernetics And Systems Analysis
International Theoretical Science Journal
Volume 56 >>> № 1 JANUARY — FEBRUARY 2020
UDC 517.11+519.92
Yu.N. Minaev1, O.Yu. Filimonova2, J.I. Minaeva3, G.A. Filimonov4


1 National Aviation University, Kyiv, Ukraine

 min_14@ukr.net

2 Kyiv National University of Civil Engineering and Architecture,
Kyiv, Ukraine

 filimonova1209@ukr.net

3 Kyiv National University of Civil Engineering and Architecture,
Kyiv, Ukraine

 jumin@bigmir.net

4 Kyiv National University of Civil Engineering and Architecture,
Kyiv, Ukraine

 georgfill93@gmail.com

FUZZY MATHEMATICS UNDER LIMITED POSSIBILITIES OF ASSIGNMENT
OF MEMBERSHIP FUNCTIONS

Abstract. We consider solution of problems under uncertainty in the form fuzzy of mathematics on the basis of methods and models of fuzzy set theory under limited possibilities of definition (assignment) of membership functions. We propose a method to solve such kind of problems, which defines hidden knowledge as subsets of ordered pairs computed with the use of singular value decomposition of special (Toeplitz, Hankel, and other’s) matrices formed on the basis of universal set. We present examples that illustrate the efficiency of the proposed method.

Keywords: fuzzy set, tensor decomposition, fuzzy mathematics, special matrices.



FULL TEXT

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