How to construct left-continuous triangular norms -- state of the art.
type: Item
instance of: scholarly article
title: How to construct left-continuous triangular norms -- state of the art.
zbMATH Open document ID: 1040.03021
author: Sándor Jenei
published in: Fuzzy Sets and Systems
publication date: 2004-03-29T00:00:00Z
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 03G10
zbMATH DE Number: 2062905
zbMATH Keywords: Residuated lattice
zbMATH Keywords: t-norm
zbMATH Keywords: Left-continuity
zbMATH Keywords: Construction
MaRDI profile type: Publication
full work available at URL: j.fss.2003.06.006
OpenAlex ID: W2076863764
cites work: A family of strict and discontinuous triangular norms
cites work: On a class of left-continuous \(\text t\)-norms
cites work: Contrapositive symmetry of fuzzy implications
cites work: On the simultaneous associativity of F(x,y) and x+y-F(x,y)
cites work: A treatise on many-valued logics
cites work: A new axiomatization for involutive monoidal t-norm-based logic
cites work: Metamathematics of fuzzy logic
cites work: Observations on the monoidal t-norm logic
cites work: Q4836218
cites work: A characterization theorem on the rotation construction for triangular norms
cites work: A note on the ordinal sum theorem and its consequence for the construction of triangular norms
cites work: Fibred triangular norms
cites work: New family of triangular norms via contrapositive symmetrization of residuated implications
cites work: On the structure of rotation-invariant semigroups
cites work: Structure of left-continuous triangular norms with strong induced negations (I) Rotation construction
cites work: Structure of left-continuous triangular norms with strong induced negations (II) Rotation-annihilation construction
cites work: Interpolation and extrapolation of fuzzy quantities revisited -- an axiomatic approach
cites work: A general method for constructing left-continuous t-norms
cites work: A proof of standard completeness for Esteva and Godo's logic MTL
cites work: Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms
cites work: Triangular norms
cites work: Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford
cites work: Q5511448
cites work: On the structure of semi-groups on a compact manifold with boundary
DOI: 10.1016/J.FSS.2003.06.006
Recommended article: Triangular norms. Position paper III: Continuous t-norms
Recommended article: Triangular norms. Position paper II: General constructions and parameterized families
Recommended article: On continuous triangular norms
Recommended article: Q3054875
Recommended article: Structure of left-continuous triangular norms with strong induced negations. III: Construction and decomposition
Recommended article: A general method for constructing left-continuous t-norms
Recommended article: A note on the continuity of triangular norms
Recommended article: Q4861206
Recommended article: The construction of left-continuous t-norms: a geometric approach in two dimensions
Recommended article: Q4534924
description: scientific article; zbMATH DE number 2062905