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 | |
| Publication status | Published - 2016 |
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A Hierarchical Category Model for Geometrical Product Specifications (GPS). / Qi, Qunfen; Scott, Paul J.; Jiang, Xiangqian; Lu, Wenlong.
In: Procedia CIRP, Vol. 43, 2016, p. 214-219.Research output: Contribution to journal › Article
TY - JOUR
T1 - A Hierarchical Category Model for Geometrical Product Specifications (GPS)
AU - Qi, Qunfen
AU - Scott, Paul J.
AU - Jiang, Xiangqian
AU - Lu, Wenlong
N1 - Accepted Feb 2016 HN 12/10/2017
PY - 2016
Y1 - 2016
N2 - 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.
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.
KW - category theory
KW - coarse-graining
KW - Geometrical Product Specifications (GPS)
KW - hierarchy
UR - http://www.scopus.com/inward/record.url?scp=84978520105&partnerID=8YFLogxK
U2 - 10.1016/j.procir.2016.02.165
DO - 10.1016/j.procir.2016.02.165
M3 - Article
VL - 43
SP - 214
EP - 219
JO - Procedia CIRP
JF - Procedia CIRP
SN - 2212-8271
ER -