Duality theorem for approximation problem with fuzzy statement

V.I. Ruban (Oles Honchar Dnipropetrovsk National University)


We obtained fuzzy analogue of duality theorem for the best approximation by a convex set.


approximation; duality; fuzzy


Zadeh L.A. "Fuzzy set", Information and Control, 1965; 8: pp. 338-353.

Anastassiou G.A. Fuzzy Mathematics: Approximation Theory, Springer-Verlag, Berlin, Heidelberg, 2010; 443 p.

Korneichuk N.I., Babenko V.F., Ligun A.A. Extremum properties of polynomials and splines, Kyiv, 1992; 304 p. (in Russian)


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ISSN (Online): 2518-7996
ISSN (Print): 2312-9557