Generalized opening and closure operators of fuzzy relations

Autoren Ulrich Bodenhofer
TitelGeneralized opening and closure operators of fuzzy relations
BuchtitelProc. 2nd Int. ICSC Congress on Computational Intelligence: Methods and Applications (CIMA 2001)
Typin Konferenzband
OrtBangor, Wales, UK
AbteilungKVS
MonatJune
Jahr2001
Seiten677-683
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.