On the stability of some pexiderized fuzzy number-valued functional equation
Abstract
The main goal of this paper is to investigate the Ulam stability of the new pexider fuzzy number-valued functional equation via the metric related to the Hausdorff metric defined on the class of special alpha-cuts of fuzzy numbers, where unknown variables are fuzzy number-valued functions on a Banach space. Our main result covers many cases of stability results of the fuzzy number-valued functional equations.
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