Reliability Theory Based on Uncertain Lifetimes

This book, to reflect the system’s diverse, relevant characteristics, uses three different mathematical tools, namely probability theory, fuzzy theory and random fuzzy theory, to model and analyze the reliability of each system. Reliability system engineering is an interdisciplinary area that chiefly focuses on the lifecycle characteristics of products and involves many fields of basic mathematics, technical science and management science. In recent years, there have been many books on reliability theory, but comparatively few on the reliability of mathematical models, or the reliability of mathematical models based on single probability theory or fuzzy theory. The findings presented here will not only enrich and expand traditional reliability theory, but also promote the development of related disciplines, lending the book considerable theoretical significance.

Uncertainty Mathematics.- Unrepairable Systems Based on Stochastic Lifetimes.- Unrepairable Systems Based on Fuzzy Lifetimes.- Unrepairable Systems Based on Random Fuzzy Lifetimes.- Repairable Systems Based on Stochastic Lifetimes and Repair Times.- Repairable Systems Based on Random Fuzzy Lifetimes and Repair Times

Dr. Ying Liu is currently a professor of the College of Artificial Intelligence and Advanced Structural Integrity International Joint Research Centre, Tianjin University of Science and Technology, Tianjin, China. She earned Ph.D. Degree in Systems Engineering from Tianjin University in 2009. Her research interests include reliability mathematics, reliability data analysis and uncertainty decision. She has been awarded the second level talent of the “131” innovative training project, Tianjin young and middle-aged backbone innovative talent and Tianjin outstanding young teacher.