# T-extension as a method of construction of a generalized aggregation operator

Julija Lebedinska

# Abstract:

Generalized aggregation operators are the tool for aggregation of fuzzy sets. The apparatus was introduced by Takači 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.

# Keywords:

aggregation operator, t-norm, $T$-extension

03E72, 94D05