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.
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