Testing fuzzy quality in engineering management

Abstract

Fuzzy process capability indices establish the relationship between the actual performance and the fuzzy specification limits, which are used to determine whether a production process is capable of producing items within fuzzy specification tolerance. In this chapter we test a fuzzy process capability index ~Cp, where instead of precise quality we have two membership functions for specification limits. Also, we develop the operating characteristic (OC) curves for the fuzzy capability index in testing one sided and two sided hypotheses. Numerical examples are given to show the performance of the method.