Uncertainty Theory Tutorial

Author: Liu Baoding
Publisher:
Publish Date: 2005-07-01
Features: Uncertainty theory is a general term for probability theory, credibility theory, and reliability theory. This book aims to introduce the axiomatic framework of uncertainty theory and provide mathematical tools for handling common uncertainty problems. The book is divided into 13 chapters, covering topics such as measure and integration, probability theory, credibility theory, reliability theory, fuzzy stochastic theory, stochastic fuzzy theory, stochastic rough theory, rough stochastic theory, fuzzy rough theory, rough fuzzy theory, dual stochastic theory, dual fuzzy theory, and dual rough theory. The selected content reflects some of the new research achievements, methodologies, and research trends in uncertainty theory, with innovations in both theoretical systems and methods. It constructs a platform for discussions on uncertainty theory. This book can serve as a textbook for senior undergraduate and graduate students in applied mathematics, operations research, management science, computer science, systems science, information science, and engineering and technology, as well as a reference for teachers and researchers in related fields.