A Basic Set of Cancellation Violating Sequences for Finite Two-Dimensional Non-Additive Measurement-Reference-Cited by-同舟云学术

A Basic Set of Cancellation Violating Sequences for Finite Two-Dimensional Non-Additive Measurement

Published:2023-12-13 Issue:0 Volume:0 Page:
ISSN:2391-4238
Container-title:Annales Mathematicae Silesianae
language:en
Short-container-title:

Author:

Ng Che Tat¹^ORCID

Affiliation:

1. Department of Pure Mathematics , University of Waterloo , Waterloo , , Canada

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/amsil-2023-0023

Reference7 articles.

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