PROCEEDINGS IPMU '08
A comparative study of T-interval orders, T-Ferrers and T-biorders
Susana Díaz, Susana Montes, Bernard De Baets.
Interval orders play a significant role
in preference modeling since they do
not impose the transitivity of the indifference
relation. For crisp relations
this concept can be expressed
in different equivalent ways. For
fuzzy relations these definitions depend
on the t-norm we employ and
they are no longer equivalent. In this
work we study the connection among
the different notions of fuzzy interval
order. We prove that depending
on the t-norm chosen, some of the
definitions are more restrictive than
others.
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