The Modularity Condition of T-Uninorms over Semi-t-Operators
摘要
The modularity equation involving aggregation functions holds significant value in fuzzy sets theory. This paper investigates the modularity condition of T-uninorms over semi-t-operators under no additional assumptions. Moreover, when the underlying pseudo-t-norm of the semi-t-operator is commutative, a universal framework for the structures of modular T-uninorm and semi-t-operator pairs is presented.