TY - JOUR
AU - Che Tat Ng
PY - 2023/12/13
Y2 - 2024/09/19
TI - A basic set of cancellation violating sequences for finite two-dimensional non-additive measurement
JF - Annales Mathematicae Silesianae
JA - AMSil
VL - 38
IS - 1
SE -
DO -
UR - https://www.journals.us.edu.pl/index.php/AMSIL/article/view/16498
AB - Cancellation conditions play a central role in the representation theory of measurement for a weak order on a finite two-dimensional Cartesian product set X. A weak order has an additive representation if and only if it violates no cancellation conditions. Given X, a longstanding open problem is to determine the simplest set of cancellation conditions that is violated by every linear order that is not additively representable. Here, we report that the simplest set of cancellation conditions on a 5 by 5 product X is obtained.
ER -