CONSTRUCTION OF POSSIBILITY DISTRIBUTIONS FOR RELIABILITY ANALYSIS BASED ON POSSIBILITY THEORY

摘要

The construction of possibility distributions is a crucial step in the application of possibilistic reliability theory. In this paper, a concise overview of the development of reliability theory based on possibility theory is provided. Then, it is presented that all methods for generating membership functions can be used to construct relevant possibility distributions in principle. Some methods used to construct possibility distributions are discussed in detail and a method used to generate L - R type possibility distributions are provided with the possibilistic reliability analysis of fatigue strength of mechanical parts. Finally, an example of generating possibility distributions of fatigue lifetime of gears is provided.