Discontinuity of the trapezoidal fuzzy number-valued operators preserving core

Authors:
Adrian I. Ban;Lucian C. Coroianu
Affiliations:
Department of Mathematics and Informatics, University of Oradea, Universitii 1, 410087 Oradea, Romania;Department of Mathematics and Informatics, University of Oradea, Universitii 1, 410087 Oradea, Romania and Department of Mathematics, Babes-Bolyai University, Mihail Koglniceanu 1, 400084 Cluj-Nap ...
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

We prove that any trapezoidal fuzzy number-valued operator preserving core is discontinuous with respect to any weighted metric on the space of fuzzy numbers. As an application, we obtain the discontinuity of the weighted trapezoidal approximation operator preserving core.