Results 181 to 190 of about 986 (204)

A Relational Extension of Galois Connections

2019
In this paper, we focus on a twofold relational generalization of the notion of Galois connection. It is twofold because it is defined between sets endowed with arbitrary transitive relations and, moreover, both components of the connection are relations as well.
Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Manuel Ojeda-Aciego   +3 more
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On the structure of cross connections and Galois connections

Korean Journal of Computational & Applied Mathematics, 1995
We consider partially ordered set as passing from the set of ideals to the set of filters in Cartesian product of partially ordered sets. Lawson introduced the concept of cross connection with the ideal and filter. We show the relation between Galois connection and cross connection.
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Non-constructive Galois-Tukey connections

Journal of Symbolic Logic, 1997
AbstractThere are inequalities between cardinal characteristics of the continuum that are true in any model of ZFC, but without a Borel morphism proving the inequality. We answer some questions from Blass [1].
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Galois Connections in Axiomatic Aggregation

2011
We investigate the relations between, on the one hand, Galois connections and the related types of maps and, on the other hand, the axiomatic Arrowian approach for the aggregation (or consensus) problem in lattices. In the latter one wants to "aggregate" n-tuples (n ≥ 2) of elements of a lattice L into an element of this lattice representing their ...
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Galois connections and data analysis

Fundam. Informaticae, 2004
Summary: We investigate Galois connections and their relations to the major theories of (qualitative) data analysis: Rough Set Theory (RST), Formal Concept Analysis (FCA) and John Stuart Mill Reasoning (JSM-Reasoning). Polarities, a type of contravariant Galois connections, and their relationships with data analysis has been already well-known.
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Galois connections

1986
Horst Herrlich, Miroslav Husek
openaire   +1 more source

Galois Connections*

1999
Jean-Paul Doignon, Jean-Claude Falmagne
openaire   +1 more source

A Galois Connection Approach to Wei-Type Duality Theorems

IEEE Transactions on Information Theory, 2022
Yang Xu, Haibin Kan, Guangyue Han
exaly  

Galois connection, formal concepts and Galois lattice in real relations: application in a real classifier

Journal of Systems and Software, 2002
Ali Jaoua, Samir Elloumi
exaly  

Granular computing and dual Galois connection

Information Sciences, 2007
Wen-Xiu Zhang, Yee Leung
exaly