Discontinuity of the trapezoidal fuzzy number-valued operators preserving core

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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. © 2011 Elsevier Ltd. All rights reserved.

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Ban, A. I., & Coroianu, L. C. (2011). Discontinuity of the trapezoidal fuzzy number-valued operators preserving core. Computers and Mathematics with Applications, 62(8), 3103–3110. https://doi.org/10.1016/j.camwa.2011.08.023

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