Multivariate multinomial T2 control chart using fuzzy approach

Quality of a product is often measured through various quality characteristics generally correlated. Multivariate control charts are a response to the need for quality control in such situations. If quality characteristics are qualitative, it sometimes happens that the product quality is defined by linguistic variables where quality levels are represented by some specific words and product units are classified into several linguistic forms categories, depending on the degree of fulfilment of expectations, creating a situation of fuzzy classifications. This study first reviews the concepts found in the literature on the development of fuzzy multivariate control charts. We propose a method to control these fuzzy quality evaluations, with correlated multiple attributes quality characteristics, through the use of a Hotelling T2 control chart.

This is an author's accepted manuscript of an article published in: “International Journal of Production Research"; Volume 53, Issue 7, 2015; copyright Taylor & Francis; available online at: http://dx.doi.org/10.1080/00207543.2014.983617