n -Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples

We consider fuzzy sets and generalized triangular norms on positive elements of order commutative $C^{*}$ -algebras to study the concept of $C^{*}$ -algebra valued normed algebras with uncertainty. Using n-expansively super-homogeneous and $(n,k)$ -contractively sub-homogeneous control functions, we make stochastic $(\Theta,\Upsilon,\Xi )$ -derivations stable and get a better estimated error. We present some numerical examples of control functions and approximations to illustrate the applicability of the main results.