Relating generalized concept lattices and concept lattices for non-commutative conjunctors
type: Item
instance of: scholarly article
title: Relating generalized concept lattices and concept lattices for non-commutative conjunctors
zbMATH Open document ID: 1187.06003
author: Jesús Medina
author: Jorge Ruiz-Calviño
author: Manuel Ojeda-Aciego
published in: Applied Mathematics Letters
publication date: 2010-02-12T00:00:00Z
review text: The authors prove that any concept lattice for non-commutative fuzzy logic is isomorphic to a sublattice of the Cartesian product of two generalized concept lattices. Related theory can be found in the papers of \textit{G. Georgescu} and \textit{A. Popescu} [Fundam. Inform. 53, No.~1, 23--54 (2002; Zbl 1023.03016)] and of \textit{R. Bělohlávek} [Ann. Pure Appl. Logic 128, No.~1--3, 277--298 (2004; Zbl 1060.03040)].
reviewed by: Salvatore Sessa
Mathematics Subject Classification ID: 06B99
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 06A15
zbMATH DE Number: 5669323
zbMATH Keywords: concept lattice
zbMATH Keywords: Galois connection
zbMATH Keywords: formal concept analysis
zbMATH Keywords: fuzzy logic
MaRDI profile type: Publication
full work available at URL: j.aml.2007.12.026
OpenAlex ID: W2088579516
cites work: Associatively tied implications.
cites work: Concept lattices and order in fuzzy logic
cites work: Formal Concept Analysis
cites work: Q4850345
cites work: Q4230685
cites work: Q4796538
cites work: A Generalized Concept Lattice
cites work: On Multi-adjoint Concept Lattices: Definition and Representation Theorem
cites work: Q4332918
DOI: 10.1016/J.AML.2007.12.026
description: scientific article; zbMATH DE number 5669323