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Triadic fuzzy Galois connections as ordinary connections
Fuzzy Sets and Systems, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radim Belohlávek, Petr Osicka
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Biclosed Binary Relations and Galois Connections
Order, 2001A biclosed relation between two closure spaces \(E\) and \(E'\) is a binary relation \(R\subseteq E\times E'\) with every row of its matrix representation corresponding to a closed subset of \(E'\) and every column corresponding to a closed subset of \(E\).
Florent Domenach, Bruno Leclerc
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On Galois Connections and Soft Computing
2013After recalling the different interpretations usually assigned to the term Galois connection, both in the crisp and in the fuzzy case, we survey on several of their applications in Computer Science and specifically, in Soft Computing.
Francisca García-Pardo +3 more
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Galois Connections and Pair Algebras
Canadian Journal of Mathematics, 1969Unless further restricted, P, Q, and R denote arbitrary partially ordered sets whose order relations are all written “≦” .An isotone mapping ϕ: P → Q is said to be residuated if there is an isotone mapping ψ: Q → P such that(RM 1) xϕψ ≧ x for all x i n P;(RM 2) yψϕ ≦ for all y in Q.Let Q* denote the partially ordered set with order relation dual to ...
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A Diagram of Galois Connections of Functorial Topologies
Applied Categorical Structures, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabriele Castellini, Stan Dziobiak
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A Relational Extension of Galois Connections
2019In 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 +3 more
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Galois Connections in Axiomatic Aggregation
2011We 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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On the structure of cross connections and Galois connections
Korean Journal of Computational & Applied Mathematics, 1995We 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, 1997AbstractThere 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 and data analysis
Fundam. Informaticae, 2004Summary: 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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