| Abstract: | This paper determines automorphisms and endomorphisms associated with constant jnd (just noticeable difference) semiorder representations. Building on the constant jnd case, a novel representation theorem is given for countable semiorders which provides insight into the role of more complex jnd functions. The significance of the representation problem for countable structures is clarified by discussion of relations among observations, representations, and theories. The stress is on motivation, and on general methods applicable to many measurement models. |
