Approximate Confidence Interval for Generalized Taguchi Process Capability Index

The impreciseness happens in the quality control same as other statistical problems. In quality control where specification limits are better expressed by fuzzy sets, the generalized process capability indices C-(p) over tilde, C-(pk) over tilde and C-(pm) over tilde can be helpful and necessary for measuring the capability. We propose a generalized form of Taguchi index C-(pm) over tilde to assess the ability of the fuzzy process to be clustered around the target value. An approximate 100(1-gamma)% confidence interval for the generalized process capability index C-(pm) over tilde by using fuzzy specification limits is also presented.