Biclosed Binary Relations and Galois Connections

F. Domenach and B. Leclerc

Papiers d'Economie Mathématique et Applications from Université Panthéon-Sorbonne (Paris 1)

Abstract: Given two closure spaces (E,j) and (E',j'), a relation R inclue dans E x E' is said biclosed if every row of its matrix representation corresponds t o a closed subset of E', and every column to a closed subset of E. An isomorphism between, on the one hand, the set of all biclosed relations and, on the other hand, the set of all Galois connections between the two lattices of closed sets is established. Several computational applications are derived from this result.

Keywords: DATA ANALYSIS; MATHEMATICS; CONNECTIONS (search for similar items in EconPapers)
JEL-codes: C60 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:fth:pariem:2000.98

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