Reliability Analysis Based on Scalar Fuzzy Variables

Abstract The reliability of a system is often referred to as a quality index reflecting the capability of the system to complete the specified function within specified time in reasonably satisfactory manner under the specified conditions (including hard conditions: say, operating environments, input materials and soft conditions: say, system management and operator team, and computerized monitoring atomization subsystems etc.) The uncertainty or vagueness of system reliability is an intrinsic and inherent feature of any system and its operating environment. Vagueness has been described by fuzzy mathematics and, therefore, in this paper we propose a credibility hazard concept associated with fuzzy lifetimes. The proposed approach is based on the conditional distribution of a fuzzy variable under Liu's non-classical credibility measure theory.