Extended stability problem for two fuzzy number-valued functional equations

Abstract

In this manuscript, we focus on the fuzzy numbers related to the theory of functional equations. Using the metric defined on a fuzzy number space, we prove the Hyers-Ulam-Rassias stability (briefly, HUR-stability) of the following fuzzy number-valued functional equations Where α, β, a 1, … ,am , r 1, … ,rm are fixed real numbers. The results obtained here are generalizations and extensions of the corresponding results in [10, 15, 24] in some senses.