Fuzzy Sets and Systems
Triangular norms on product lattices
Fuzzy Sets and Systems - Special issue on triangular norms
Aggregation operators: new trends and applications
Aggregation operators: new trends and applications
Fuzzy arithmetic based on boundary weak t-norms
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Information Sciences: an International Journal
Matrix representation of discrete quasi-copulas
Fuzzy Sets and Systems
Cancellativity properties for t-norms and t-subnorms
Information Sciences: an International Journal
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
On ordinal sums of triangular norms on bounded lattices
Fuzzy Sets and Systems
On aggregation operators for ordinal qualitative information
IEEE Transactions on Fuzzy Systems
Smooth associative operations on finite ordinal scales
IEEE Transactions on Fuzzy Systems
Copula-Like Operations on Finite Settings
IEEE Transactions on Fuzzy Systems
| Hi-index | 0.20 |
In this work smooth t-subnorms and boundary weak t-norms (bwt-norms) defined on a finite chain are studied. In the smooth case, it is proved that smooth bwt-norms reduces to smooth t-norms, whereas a classification of smooth t-subnorms as ordinal sums of a smooth t-norm and an Archimedean smooth t-subnorm is proved, in a similar way as in the case of [0,1]. With respect to Archimedean smooth t-subnorms, some cases depending on their zero-region are considered, classifying all of them in some cases and some specific families in others.