Generalized aggregation of fuzzy truth values

• We study generalized extended aggregation operations.
• We further discuss the equivalent expressions of partial orders ⊑ and ⪯.
• The generalized extended aggregation operation is proven to be an FTV aggregation op- eration.

This paper deals with generalized extended aggregation operations in accordance with generalized extension principle and provides a theoretical basis for generalized extended aggregation operations. Generalized extended aggregation operations are studied on the algebra of convex (resp. normal) fuzzy truth values. When an aggregation operation is continuous, the generalized extended aggregation operation is proven to be an aggregation operation on fuzzy truth values (FTV aggregation operation, for short) for arbitrary t-norm on the algebra of convex normal fuzzy truth values.