Categorical data modelling for Cylindricity Consistent with Geometrical Product Specifications Standard System

Geometrical Product Specifications and Verification (Abbreviated as GPS) is an international standard system regarding standardization of dimensional, tolerancing, surface texture and related metrological principles and practices in the charge of Technical Committee ISO/TC213. Integrated information system is necessary to encapsulate the knowledge in GPS to extend the application of GPS in digital manufacturing. Establishing a data structure that is suitable for GPS data is one of the main works in building the integrated information system. This paper focuses on cylindricity and the main points of the paper are as follows: proposed the complete verification operator and the complete drawing indication for cylindricity based on GPS; models the inter/intra relationships between the elements of operations within cylindricity operator based on category theory; integrates the categorical data model of each operation within cylindricity into the categorical data model for cylindricity and solved the storage format and closure of query for the categorical data model by the pull-back structure and functor transform in category theory respectively.