On the stability of some pexiderized fuzzy number-valued functional equation

Jiraporn Kunrattanaworawong, Wutiphol Sintunavarat

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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References


S. M. Ulam. (1964). Problems in Modern Mathematics. Wiley.

D.H. Hyers. (1941). On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA, 27, 222-224.

M. Eshaghi Gordji, H. Khodaei, M. Kamyar. (2011). Stability of Cauchy???Jensen type functional equation in generalized fuzzy normed spaces. Com-put. Math. Appl., 62, 2950-2960.

J.-R. Wu, Z.-Y. Jin. (2019). A note on Ulam stability of some fuzzy number-valued functional equations. Fuzzy sets and systems, 375, 191-195.


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