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Engineering - Computational Intelligence and Complexity | Uncertainty Theory - An Introduction to its Axiomatic Foundations

Uncertainty Theory

An Introduction to its Axiomatic Foundations

Liu, Baoding

2004, XI, 411 p.


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  • About this book

  • Self contained, comprehensive and up-to-date presentation of uncertainty theory
  • Axiomatic approach to equip the reader to deal with uncertainty

 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 readers with an axiomatic approach to deal with uncertainty. Mathematicians, researchers, engineers, designers and students in the field of applied mathematics, operations research, statistics, industrial engineering, information science and management science will find this work a stimulating and useful reference.

Content Level » Research

Keywords » Credibility Theory - Probability theory - Rough Fuzzy Theory - Trust Theory - applied mathematics - behavior - design - fuzzy - fuzzy set - management - mathematics - operations research - science - statistics - uncertainty

Related subjects » Applications - Artificial Intelligence - Computational Intelligence and Complexity - Mathematics - Operations Research & Decision Theory - Probability Theory and Stochastic Processes

Table 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.

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