Fuzzy spline interpolation with optimal property in parametric form

Authors:
Alexandru Mihai Bica;Constantin Popescu
Affiliations:
Department of Mathematics and Informatics, University of Oradea, Universitatii Street No. 1, 410087 Oradea, Romania;Department of Mathematics and Informatics, University of Oradea, Universitatii Street No. 1, 410087 Oradea, Romania
Venue:
Information Sciences: an International Journal
Year:
2013

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Abstract

In this paper we propose a new fuzzy interpolation procedure that uses cubic splines with an optimal property obtained in parametric form. This fuzzy interpolation operator is also a linear operator of uniform approximation that preserves the monotonicity. Moreover, by integrating this fuzzy cubic spline we obtain the trapezoidal quadrature rule for fuzzy Henstock integrable functions.