Generalized opening and closure operators of fuzzy relations

Autoren Ulrich Bodenhofer
Titel Generalized opening and closure operators of fuzzy relations
Buchtitel Proc. 2nd Int. ICSC Congress on Computational Intelligence: Methods and Applications (CIMA 2001)
Typ in Konferenzband
Ort Bangor, Wales, UK
Abteilung KVS
Monat June
Jahr 2001
Seiten 677-683
SCCH ID# 69
Abstract

In this paper, we propose a generalized concept of openness and closedness with respect to arbitrary fuzzy relations, along with appropriate opening and closure operators. We will show that this framework includes the existing concept defined for fuzzy preorderings as well as the triangular norm-based approach to fuzzy mathematical morphology.