A Hierarchical Category Model for Geometrical Product Specifications (GPS)

Research output: Contribution to journalArticle

1 Citation (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.

LanguageEnglish
Pages214-219
Number of pages6
JournalProcedia CIRP
Volume43
Early online date9 May 2016
DOIs
Publication statusPublished - 2016

Fingerprint

Specifications

Cite this

@article{442e3a59d98f47c19bb2b92bb5ba8c71,
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.",
keywords = "category theory, coarse-graining, Geometrical Product Specifications (GPS), hierarchy",
author = "Qunfen Qi and Scott, {Paul J.} and Xiangqian Jiang and Wenlong Lu",
note = "Accepted Feb 2016 HN 12/10/2017",
year = "2016",
doi = "10.1016/j.procir.2016.02.165",
language = "English",
volume = "43",
pages = "214--219",
journal = "Procedia CIRP",
issn = "2212-8271",
publisher = "Elsevier",

}

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 journalArticle

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

T2 - Procedia CIRP

JF - Procedia CIRP

SN - 2212-8271

ER -