A Hierarchical Category Model for Geometrical Product Specifications (GPS)

Qunfen Qi; Paul J. Scott; Xiangqian Jiang; Wenlong Lu

doi:10.1016/j.procir.2016.02.165

A Hierarchical Category Model for Geometrical Product Specifications (GPS)

Qunfen Qi, Paul J. Scott, Xiangqian Jiang, Wenlong Lu

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	214-219
Number of pages	6
Journal	Procedia CIRP
Volume	43
Early online date	9 May 2016
DOIs	https://doi.org/10.1016/j.procir.2016.02.165
Publication status	Published - 2016

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title = "A Hierarchical Category Model for Geometrical Product Specifications (GPS)",

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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author = "Qunfen Qi and Scott, {Paul J.} and Xiangqian Jiang and Wenlong Lu",

note = "Accepted Feb 2016 HN 12/10/2017",

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AU - Scott, Paul J.

AU - Jiang, Xiangqian

AU - Lu, Wenlong

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AB - 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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A Hierarchical Category Model for Geometrical Product Specifications (GPS)

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