Representations and constructions of strongly linear fuzzy orderings

U. Bodenhofer. Representations and constructions of strongly linear fuzzy orderings. pages 215-218, 9, 2000.

Autoren
  • Ulrich Bodenhofer
BuchProc. 1999 Joint EUSFLAT/ESTYLF Conf. (EUSFLAT/ESTYLF 99)
TypIn Konferenzband
Monat9
Jahr2000
Seiten215-218
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.