A method for inference in approximate reasoning based on interval-valued fuzzy sets
Fuzzy Sets and Systems
Triangular norms on product lattices
Fuzzy Sets and Systems - Special issue on triangular norms
On the relationship between some extensions of fuzzy set theory
Fuzzy Sets and Systems - Theme: Basic notions
A representation of t-norms in interval-valued L-fuzzy set theory
Fuzzy Sets and Systems
A characterization of interval-valued residuated lattices
International Journal of Approximate Reasoning
On ordinal sums of triangular norms on bounded lattices
Fuzzy Sets and Systems
Triangular norms on partially ordered sets
Fuzzy Sets and Systems
Implicators based on binary aggregation operators in interval-valued fuzzy set theory
Fuzzy Sets and Systems
Intuitionistic Fuzzy Sets: Theory and Applications
Intuitionistic Fuzzy Sets: Theory and Applications
On the representation of intuitionistic fuzzy t-norms and t-conorms
IEEE Transactions on Fuzzy Systems
Mathematical morphology on bipolar fuzzy sets: general algebraic framework
International Journal of Approximate Reasoning
On type-2 fuzzy sets and their t-norm operations
Information Sciences: an International Journal
A new way to extend t-norms, t-conorms and negations
Fuzzy Sets and Systems
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In this paper we study t-norms on the lattice of closed subintervals of the unit interval. Unlike for t-norms on a product lattice for which there exists a straightforward characterization of t-norms which are join-morphisms, respectively meet-morphisms, the situation is more complicated for t-norms in interval-valued fuzzy set theory. In previous papers several characterizations were given of t-norms in interval-valued fuzzy set theory which are join-morphisms and which satisfy additional properties, but little attention has been paid to meet-morphisms. Therefore, in this paper, we focus on t-norms which are meet-morphisms. We consider a general class of t-norms and investigate under which conditions t-norms belonging to this class are meet-morphisms. We also characterize the t-norms which are both a join- and a meet-morphism and which satisfy an additional border condition.