Stability analysis of approximately multidimensional additive mappings on fuzzy spaces

The intention of this paper is to study new additive kind multi-dimensional functional equations inspired by several applications of difference equations in biology, control theory, economics, and computer science, as well as notable implementation of fuzzy ideas in certain situations involving ambiguity or vagueness. In the context of different fuzzy spaces, we demonstrate their various fundamental stabilities related to Ulam stability theory. An appropriate example is given to show how stability result fails when the singular case occurs. The findings of this study suggest that stability results are valid in situations with uncertain or imprecise data. The stability results obtained under these fuzzy spaces are compared with previous stability results.