Ebook: Uncertainty Theory
Author: Dr. Baoding Liu (auth.)
- Tags: Appl.Mathematics/Computational Methods of Engineering, Artificial Intelligence (incl. Robotics), Optimization, Operations Research Mathematical Programming, Probability Theory and Stochastic Processes, Operations Research/Decision Theor
- Series: Studies in Fuzziness and Soft Computing 154
- Year: 2007
- Publisher: Springer Berlin Heidelberg
- Edition: 2nd ed.
- Language: English
- pdf
Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, and countable subadditivity axioms. The goal of uncertainty theory is to study the behavior of uncertain phenomena such as fuzziness and randomness. The main topics include probability theory, credibility theory, and chance theory. For this new edition the entire text has been totally rewritten. More importantly, the chapters on chance theory and uncertainty theory are completely new. This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The purpose is to equip the readers with an axiomatic approach to deal with uncertainty. Mathematicians, researchers, engineers, designers, and students in the field of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, and management science will find this work a stimulating and useful reference.
Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, and countable subadditivity axioms. The goal of uncertainty theory is to study the behavior of uncertain phenomena such as fuzziness and randomness. The main topics include probability theory, credibility theory, and chance theory. For this new edition the entire text has been totally rewritten. More importantly, the chapters on chance theory and uncertainty theory are completely new. This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The purpose is to equip the readers with an axiomatic approach to deal with uncertainty. Mathematicians, researchers, engineers, designers, and students in the field of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, and management science will find this work a stimulating and useful reference.
Content:
Front Matter....Pages I-X
Prerequisites....Pages 1-18
Probability Theory....Pages 19-80
Credibility Theory....Pages 81-156
Chance Theory....Pages 157-204
Uncertainty Theory....Pages 205-234
Supplements....Pages 235-236
Back Matter....Pages 237-255
Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, and countable subadditivity axioms. The goal of uncertainty theory is to study the behavior of uncertain phenomena such as fuzziness and randomness. The main topics include probability theory, credibility theory, and chance theory. For this new edition the entire text has been totally rewritten. More importantly, the chapters on chance theory and uncertainty theory are completely new. This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The purpose is to equip the readers with an axiomatic approach to deal with uncertainty. Mathematicians, researchers, engineers, designers, and students in the field of mathematics, information science, operations research, industrial engineering, computer science, artificial intelligence, and management science will find this work a stimulating and useful reference.
Content:
Front Matter....Pages I-X
Prerequisites....Pages 1-18
Probability Theory....Pages 19-80
Credibility Theory....Pages 81-156
Chance Theory....Pages 157-204
Uncertainty Theory....Pages 205-234
Supplements....Pages 235-236
Back Matter....Pages 237-255
....