Trends in the development of the ISO 9001 quality management system – a parameter of the logistic function

Objectives The main objective of the article is to demonstrate that the number of ISO 9001 certificates issued can be modelled with high accuracy using a sum of logistic functions (multilogistic function). An attempt was also made to explain this phenomenon on the basis of the Triple Helix (TH) theory applied to the area of quality management. Material and methods In order to estimate the parameters of the logistic functions, normalized second-order logistic wavelets were used. The method allows specifying these parameters based on a scalogram - a graph of the Continuous Wavelet Transform (CWT) applied directly to the number of ISO 9001 certificates issued. Moreover, the authors discuss the theoretical model of the Triple Helix - the interaction of innovation with elements of the innovation system: globalization, competitive developments, and customer requirements in the context of the increase in the number of ISO quality management system certificates issued. Results Studies and calculations have fully confirmed that the number of ISO 9001 certificates between 1993 and 2022 can be effectively modelled using an appropriate multilogistics function. Using scalograms and CWT analysis, the type and position of successive logistic waves can be identified and their parameters can be estimated. This indirectly confirms that the Triple Helix theory is also applicable to quality management. Conclusions The possibility of using logistic wavelets, scalograms and, CWT analysis to detect logistic waves in time series related to quality management, has been confirmed. Once the parameters of the consecutive logistic waves have been estimated, the corresponding multilogistic functions can be used for forecasting.