Generalized aggregation operators are the tool for aggregation of fuzzy sets. The apparatus was introduced by Taka\v{c}i in \cite{4}. $T$-extension is a construction method of a generalized aggregation operator and we study it in the paper. We observe the behavior of a $T$-extension with respect to different order relations and we investigate properties of the construction.
aggregation operator, t-norm, $T$-extension
03E72, 94D05