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

^*Corresponding author for this work

Department of Mechanical Engineering

Research output: Contribution to journal › Special issue (Academic Journal) › peer-review

5 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
DOIs	https://doi.org/10.1016/j.procir.2016.02.165
Publication status	Published - 2016
Event	14th CIRP Conference on Computer Aided Tolerancing, CAT 2016 - Gothenburg, Sweden Duration: 18 May 2016 → 20 May 2016

Bibliographical note

Funding Information:
The authors gratefully acknowledge the UKs Engineering and Physical Sciences Research Council (EPSRC) funding of the EPSRC Fellowship in Manufacturing: Controlling Geometrical Variability of Products for Manufacturing (Ref:EP/K037374/1).

Publisher Copyright:
© 2016 The Authors.

Keywords

category theory
coarse-graining
Geometrical Product Specifications (GPS)
hierarchy

Access to Document

10.1016/j.procir.2016.02.165

Handle.net

Persistent link

Cite this

@article{b43db01083904919aab810006e6080e6,

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 = "Funding Information: The authors gratefully acknowledge the UKs Engineering and Physical Sciences Research Council (EPSRC) funding of the EPSRC Fellowship in Manufacturing: Controlling Geometrical Variability of Products for Manufacturing (Ref:EP/K037374/1). Publisher Copyright: {\textcopyright} 2016 The Authors.; 14th CIRP Conference on Computer Aided Tolerancing, CAT 2016 ; Conference date: 18-05-2016 Through 20-05-2016",

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",

}

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 - Funding Information: The authors gratefully acknowledge the UKs Engineering and Physical Sciences Research Council (EPSRC) funding of the EPSRC Fellowship in Manufacturing: Controlling Geometrical Variability of Products for Manufacturing (Ref:EP/K037374/1). Publisher Copyright: © 2016 The Authors.

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 - Special issue (Academic Journal)

AN - SCOPUS:84978520105

SN - 2212-8271

VL - 43

SP - 214

EP - 219

JO - Procedia CIRP

JF - Procedia CIRP

T2 - 14th CIRP Conference on Computer Aided Tolerancing, CAT 2016

Y2 - 18 May 2016 through 20 May 2016

ER -

A Hierarchical Category Model for Geometrical Product Specifications (GPS)

Abstract

Bibliographical note

Keywords

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this