Abstract: The ISO/TC213 recently published the new generation ISO standard system of GPS (Dimensional and geometrical product specification and verification ) based on the new GPS language. The GPS language system based on metrology mathematics gives the mathematics methods of the expression and specifications of requirements relating to a wide range of workpiece functions between design, manufacture and metrology. The new GPS is designed as the means of communication in which designers, production engineers and metrologists exchange unambiguous information concerning the functional requirements of products. The masterplan structure of the new GPS system, important concepts, scientific foundations and application techniques in engineering are presented.

Key words: GPS, Oprations and operators, Standards and metrology, Uncertainty