Uncertainty Theory

The book explores the evolution of probability and fuzzy theories, tracing their development from Pascal and Fermat's foundational work in 1654 to the introduction of fuzzy sets by Zadeh in 1965. It highlights key advancements, such as Von Mises' sample space concept and Kolmogorov's axiomatic foundation. The text introduces credibility theory, established by Liu in 2002, which addresses the interplay of fuzziness and randomness in systems. Subsequent chapters delve into the principles of probability and credibility theory, emphasizing their practical applications in various fields.