A Hierarchical Category Model for Geometrical Product Specifications (GPS)

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

*Corresponding author for this work

Research output: Contribution to journalSpecial issue (Academic Journal)peer-review

5 Citations (Scopus)


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 languageEnglish
Pages (from-to)214-219
Number of pages6
JournalProcedia CIRP
Publication statusPublished - 2016
Event14th CIRP Conference on Computer Aided Tolerancing, CAT 2016 - Gothenburg, Sweden
Duration: 18 May 201620 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.


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


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