Fuzzy Sets and Systems
On reversible triangular norms
Fuzzy Sets and Systems - Special issue on triangular norms
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
The functional equations of Frank and Alsina for uninorms and nullnorms
Fuzzy Sets and Systems
The distributivity condition for uninorms and t-operators
Fuzzy Sets and Systems
The modularity condition for uninorms and t-operators
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Logic-based fuzzy networks: A study in system modeling with triangular norms and uninorms
Fuzzy Sets and Systems
Binary operations on fuzzy sets: recent advances
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
On a consistent fuzzy operator system
INES'10 Proceedings of the 14th international conference on Intelligent engineering systems
On a certain class of aggregative operators
Information Sciences: an International Journal
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Although the concept of reverse is given in (Publ. Math. Debrecen 12 (1973) 21-39) not only for a t-norm but also for any associative operator, the definition does not work in so general a case. In this paper, the concept of reverse is extended in an appropriate way to some kinds of associative operators like t-conorms, uninorms and t-operators. All continuous and reversible t-conorms are characterized and, after some results, an analogous characterization is also given for all semi-continuous reversible uninorms and all continuous reversible t-operators. In the last case, reversibility becomes a kind of transformation that converts a uninorm into a t-operator and viceversa. Finally, related to reversibility, uninorms and t-operators of moderate growth are studied.