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A hierarchical category model for geometrical product specifications (GPS)

Qi, Qunfen, Scott, Paul J., Jiang, Xiangqian and Lu, Wenlong (2016) A hierarchical category model for geometrical product specifications (GPS). Procedia CIRP, 43. pp. 214-219. ISSN 2212-8271

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Abstract

International standards for tolerancing (ISO GPS) have undergone considerable evolutionary changes to meet the demands of the modern information age. Their expanding quantity and complexity have proposed a great obstacle to their informatisation progress. In this paper, a solution to reduce the complexity is coarse-graining the GPS knowledge into five hierarchy levels. A high-level abstraction mathematical theory - category theory is employed to model the GPS hierarchy, in which structures are modelled by categorical concepts such as categories, morphisms, pullbacks, functors and adjoint functors. As category theory is hierarchically structured itself, it can prove that the multi-level GPS framework is constructed in a rigorous manner and is expected to facilitate the future autonomous integration between design and measurement in the manufacturing system.

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Item Type: Article
Subjects: T Technology > TJ Mechanical engineering and machinery
Schools: School of Computing and Engineering
School of Computing and Engineering > Centre for Precision Technologies > EPSRC Centre for Innovative Manufacturing in Advanced Metrology
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Depositing User: Qunfen Qi
Date Deposited: 03 Nov 2016 11:56
Last Modified: 06 Dec 2016 06:41
URI: http://eprints.hud.ac.uk/id/eprint/29695

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