New family of triangular norms via contrapositive symmetrization of residuated implications
Fuzzy Sets and Systems
Observations on the monoidal t-norm logic
Fuzzy Sets and Systems - Possibility theory and fuzzy logic
On the structure of left-continuous t-norms that have a continuous contour line
Fuzzy Sets and Systems
On triangular norms and uninorms definable in Ł Π12
International Journal of Approximate Reasoning
Generalizations to the constructions of t-norms: Rotation(-annihilation) construction
Fuzzy Sets and Systems
On the scope of some formulas defining additive connectives in fuzzy logics
Fuzzy Sets and Systems
Generalized continuous and left-continuous t-norms arising from algebraic semantics for fuzzy logics
Information Sciences: an International Journal
Aggregation functions and contradictory information
Fuzzy Sets and Systems
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In this paper we study the subclass of left-continuous t-norms *n which are definable by an arbitrary continuous t-norm * and a weak (i.e. non necessarily involutive) negation n by putting x *n y = 0 if x ≤ n(y), x *n y = x * y otherwise, thus generalizing the construction of the so-called nilpotent minimum t-norms. We provide the characterization of weak negations compatible with a given continuous t-norm and conversely which are the continuous t-norms compatible with a given weak negation function.