Interval Orders and Biorders in Belief Revision
A new arXiv paper (2604.27156) explores the use of interval orders and biorders in rational belief revision. Traditionally, belief revision relies on total preorders of possible worlds. Interval orders, introduced by Fishburn in the 1980s, assign each world a nonnegative plausibility interval. Biorders, studied by Aleskerov, Bouyssou, and Monjardet, generalize interval orders by allowing negative interval lengths, capturing dissonance or instability. The paper applies these ordering classes from rational choice theory to belief revision, an area where they have seen limited use.
Key facts
- Paper arXiv:2604.27156 explores interval orders and biorders in belief revision.
- Interval orders were introduced by Fishburn in the 1980s.
- Biorders were studied by Aleskerov, Bouyssou, and Monjardet.
- Interval orders assign each possible world a nonnegative plausibility interval.
- Biorders generalize interval orders by allowing negative interval lengths.
- The paper applies these orderings to rational belief revision.
- Traditional belief revision uses total preorders of possible worlds.
- The new orderings capture dissonance or instability.
Entities
Institutions
- arXiv