A family of strict and discontinuous triangular norms
Fuzzy Sets and Systems
Observations on the monoidal t-norm logic
Fuzzy Sets and Systems - Possibility theory and fuzzy logic
Aggregation operators: properties, classes and construction methods
Aggregation operators
On the convex combination of TD and continuous triangular norms
Information Sciences: an International Journal
Interval Additive Generators of Interval T-Norms
WoLLIC '08 Proceedings of the 15th international workshop on Logic, Language, Information and Computation
Cancellativity properties for t-norms and t-subnorms
Information Sciences: an International Journal
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Cancellative t-norms are generated only if they do not posses anomalous pairs and then they are isomorphic to subsemigroups of ([0,~],+). A new construction method for t-norms, so-called H-transformation of t-norms, is introduced and studied, generalizing a recent example of Hajek. H-transformation allows to construct non-generated cancellative (left-continuous) t-norms with prescribed number of non-trivial Archimedean components. The unique t-norm stable under H-transformation is also described. In an analogous way, H-transformation of residual implications is given. Finally, a general H-transformation based on cancellative discrete t-conorms is proposed and examined.