Abstract

In this paper, we introduce ϑ-fuzzy quasi-k-norms with respect to a continuous t-norm ϑ. Also, we investigate fuzzy operators defined on the product of a ∗-fuzzy measure space and an algebraic group, taking values in a ϑ-fuzzy quasi-k-normed space. Furthermore, by employing a fuzzy controller associated with the ct-norm ϑ, we give sufficient conditions for the approximation of a given operator by a homomorphic fuzzy operator.

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