Uncertainty Theory - An Introduction to Its Axiomatic Foundations

Uncertainty Theory studies the behavior of random, fuzzy and rough events and is the generic name of probability theory, credibility theory, and trust theory. This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The main purpose is to equip the reader with an axiomatic approach to deal with uncertainty. Mathematicians, researchers, engineers, designers and students in thefield of applied mathematics, operations research, statistics, industrial engineering, information science and management science will find this work a stimulating and useful reference.

List of contents

Measure and Integral.- Probability Theory.- Credibility Theory.- Nonclassical Credibility Theory.- Trust Theory.- Generalized Trust Theory.- Fuzzy Random Theory.- Random Fuzzy Theory.- Random Rough Theory.- Rough Random Theory.- Fuzzy Rough Theory.- Rough Fuzzy Theory.- Birandom Theory.- Bifuzzy Theory.- Birough Theory.- Multifold Uncertainty.

Product details

• Authors: Baoding Liu
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2004
• EAN: 9783540213338
• ISBN: 978-3-540-21333-8
• No. of pages: 411
• Weight: 750 g
• Series: Studies in Fuzziness and Soft Computing; Studies in Fuzziness and Soft Computing
• Subject: Natural sciences, medicine, IT, technology > IT, data processing > IT