n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -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 ∗ $C^{*}$ -algebras to study the concept of C ∗ $C^{*}$ -algebra valued normed algebras with uncertainty. Using n-expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homoge...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-03-01
|
| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03287-y |
| Summary: | Abstract We consider fuzzy sets and generalized triangular norms on positive elements of order commutative C ∗ $C^{*}$ -algebras to study the concept of C ∗ $C^{*}$ -algebra valued normed algebras with uncertainty. Using n-expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous control functions, we make stochastic ( Θ , ϒ , Ξ ) $(\Theta,\Upsilon,\Xi )$ -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. |
|---|---|
| ISSN: | 1687-1847 |