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.

PDF full paper