It is well known that a t-norm
T
and its residual implication
I
T
, normally denoted as the
residual pair (
T;I
T
), play an important role in fuzzy inference systems, especially in Fuzzy
Relational Inference (FRI) mechanisms. For instance, many desirable properties like the inter-
polativity, continuity, robustness and monotonicity of an FRI largely depend on the properties
possesed by the residual pair (
T;I
T
)