A unified framework of opening and closure operators with respect to arbitrary fuzzy relations

Autoren Ulrich Bodenhofer
TitelA unified framework of opening and closure operators with respect to arbitrary fuzzy relations
TypArtikel
JournalSoft Computing
Nummer4
Band7
Noteinvited
AbteilungKVS
ISSN1432-7643
MonatFebruary
Jahr2003
Seiten220-227
SCCH ID#155
Abstract

This paper is devoted to a general concept of openness and closedness with respect to arbitrary fuzzy relations - along with appropriate opening and closure operators. It is shown that the proposed framework unifies existing concepts, in particular, the one for fuzzy preorderings as well as the triangular norm-based approach to fuzzy mathematical morphology.