Representations and constructions of strongly linear fuzzy orderings

Autoren Ulrich Bodenhofer
TitelRepresentations and constructions of strongly linear fuzzy orderings
BuchtitelProc. 1999 Joint EUSFLAT/ESTYLF Conf. (EUSFLAT/ESTYLF 99)
Typin Konferenzband
OrtPalma de Mallorca, Spain
MonatSeptember
Jahr2000
Seiten215-218
SCCH ID#27
Abstract

This paper is devoted to a class of fuzzy orderings which play a fundamental role in decision analysis and fuzzy control - strongly linear fuzzy (weak) orderings. First, we see that any relation of that kind can be decomposed into a crisp linear ordering and a fuzzy equivalence relation. As a consequence, a general representation theorem follows. Finally, a method for constructing strongly linear fuzzy orderings form pseudo-metrics is presented.