Regular left-continuous t-norms

DOI10.1007/S00233-008-9103-3zbMath1172.03039OpenAlexW2120667629MaRDI QIDQ1006336

Thomas Vetterlein

Publication date: 20 March 2009

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-008-9103-3

zbMATH Keywords

left-continuous t-normbasic intervalbasic tomonoidcharacteristic dataregular left-continuous triangular normtranslation tomonoid

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Other algebras related to logic (03G25)

Related Items (16)

The construction of left-continuous t-norms: a geometric approach in two dimensions ⋮ An overview of fuzzy logic connectives on the unit interval ⋮ Convex combinations of uninorms and triangular subnorms ⋮ Ordinal sums: from triangular norms to bi- and multivariate copulas ⋮ The approximation of left-continuous t-norms ⋮ Continuity of left-continuous triangular norms with special associated negations ⋮ Real coextensions as a tool for constructing triangular norms ⋮ Convex combinations of fuzzy logical operations ⋮ Associativity of triangular norms characterized by the geometry of their level sets ⋮ The coextension of commutative pomonoids and its application to triangular norms ⋮ Generalized continuous and left-continuous t-norms arising from algebraic semantics for fuzzy logics ⋮ Convex combinations of strict t-norms ⋮ On the reflection invariance of residuated chains ⋮ Rotation-invariant t-norms: where triple rotation and rotation-annihilation meet ⋮ Some results on the convex combination of uninorms ⋮ Totally Ordered Monoids Based on Triangular Norms

Cites Work

• On the structure of semi-groups on a compact manifold with boundary
• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• How to construct left-continuous triangular norms -- state of the art.
• Triangular norms
• A proof of standard completeness for Esteva and Godo's logic MTL
• A general method for constructing left-continuous t-norms
• Observations on the monoidal t-norm logic
• Contrapositive symmetry of fuzzy implications
• New family of triangular norms via contrapositive symmetrization of residuated implications
• Problems on associative functions
• \(H\)-transformation of t-norms
• On the convex combination of left-continuous t-norms
• Structure of left-continuous triangular norms with strong induced negations (II) Rotation-annihilation construction
• Structure of left-continuous triangular norms with strong induced negations (I) Rotation construction
• Totally ordered commutative monoids
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Regular left-continuous t-norms