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

Abstract

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.