Journal of Mathematical Psychology volume 49, issue 6, P481-488 2005 DOI: 10.1016/j.jmp.2005.08.001 View full text
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Sergei Ovchinnikov

Abstract: A standard representation of a family B of partial orders on a given finite set X is as a set of vertices of a cube. The metric and order structures on B inherited from the cube are often used in applications. In this paper, following Stanley [(1996). Hyperplane arrangements, interval orders, and trees. Proceedings of the National Academy of Sciences of the United States of America, 93, 2620-2625], we represent relations in B by regions and cells of a hyperplane arrangement arising from numerical representati…

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