Process Capability Analysis Using Interval Type-2 Fuzzy Sets

• Main Authors: Abbas Parchami, Sezi Çevik Onar, Başar Öztayşi, Cengiz Kahraman
• Format: Article
• Language: English
• Published: Atlantis Press 2017-01-01
• Series: International Journal of Computational Intelligence Systems
• Subjects: process capability; fuzzy quality; interval type-2 fuzzy sets; specification limits
• Online Access: https://www.atlantis-press.com/article/25872432/view

In some cases, the specification limits of a quality characteristic should be defined under uncertain information. In the literature, process capability analyses have been handled by using type-1 fuzzy sets under fuzziness up to now. In this paper, we develop the concept of type-2 fuzzy quality and use it in the calculation of process capability. Lower and upper specification limits are considered as type-2 fuzzy sets. We define the addition and subtraction operations for introducing interval type-2 fuzzy process capability indices. We can calculate the nonconforming percentage of the production using the developed equations. We present some numerical examples to show the applicability of the proposed equations.