The theory of semirings with applications in mathematics and theoretical computer science
The theory of semirings with applications in mathematics and theoretical computer science
A new look at fuzzy connectives
Fuzzy Sets and Systems
Contrapositive symmetry of fuzzy implications
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Van Melle's combining function in MYCIN is a representable uninorm: an alternative proof
Fuzzy Sets and Systems - Special issue on triangular norms
New family of triangular norms via contrapositive symmetrization of residuated implications
Fuzzy Sets and Systems
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
Uncertain Information Processing in Expert Systems
Uncertain Information Processing in Expert 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
The structure of continuous uni-norms
Fuzzy Sets and Systems
R0 implication: characteristics and applications
Fuzzy Sets and Systems - Mathematics
On the reversibility of uninorms and t-operators
Fuzzy Sets and Systems - Mathematics
Aggregation operators: new trends and applications
Aggregation operators: new trends and applications
On equivalent forms of fuzzy logic systems NM and IMTL
Fuzzy Sets and Systems
Smooth associative operations on finite ordinal scales
IEEE Transactions on Fuzzy Systems
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The main aim of this paper is to summarize recent advances on operations on fuzzy sets. First a detailed description of our present knowledge on left-continuous t-norms is presented. Then some new classes of associative operations (uninorms, nullnorms, t-operators) are reviewed. Finally we demonstrate the role of the evaluation scales (especially the case of totally ordered finite sets) in the choice of operations.