On families of semiorders and interval orders imbedded in a valued structure of preference: A survey
The paper presents all the families of semiorders and interval orders that can be built up on the basis of some valued preference relations. Some of these families (called row and column-homogeneous) generalize the homogeneous families of semiorders studied by \textit{F. S. Roberts} [J. Math. Psychol. 8, 248-263 (1971; Zbl 0223.92017)] and include the \(\{P_{\lambda}\}\) families studied by \textit{P. C. Fishburn} [ibid. 10, 327-352 (1973; Zbl 0277.92008)]. The families are then examined from the view point of interval representation models, also called ''threshold models''.
scientific article; zbMATH DE number 3920151
scientific article