Well-graded families of NaP-preferences

Publication date: April 2017 Source:Journal of Mathematical Psychology, Volume 77 Author(s): Alfio Giarlotta, Stephen Watson A NaP-preference (necessary and possible preference) is a pair of nested reflexive relations on a set such that the smaller is transitive, the larger is complete, and the two components jointly satisfy natural forms of mixed completeness and transitive coherence. A NaP-preference is normalized if its smaller component is a partial order. We show that normalized NaP-preferences on a finite set are well-graded in the sense of Doignon and Falmagne (1997).

Source: Journal of Mathematical Psychology - February 26, 2017 Category: Psychiatry & Psychology Source Type: research