A central limit theorem based on point processes with random fuzzy marks

摘要

We prove a Central Limit Theorem for a measure of reliability, called gauge measure, which was introduced in our earlier paper. The measure is derived from a marked point process where the base process is a random point process and the marks are fuzzy random variables. This measure has also been used previously to assess the reliability of software in cases where the debugging process is considered to be fuzzy instead of crisp.