Representations and constructions of strongly linear fuzzy orderings
|Titel||Representations and constructions of strongly linear fuzzy orderings|
|Buchtitel||Proc. 1999 Joint EUSFLAT/ESTYLF Conf. (EUSFLAT/ESTYLF 99)|
|Ort||Palma de Mallorca, Spain|
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.