# Uncertainty Theory: An Introduction to its Axiomatic Foundations (Studies in Fuzziness and Soft Computing) download epub

#### by **Baoding Liu**

**Epub Book:**1936 kb. |

**Fb2 Book:**1516 kb.

The main purpose of this book is to provide axiomatic foundations of uncertainty theory. Studies in Fuzziness and Soft Computing.

The main purpose of this book is to provide axiomatic foundations of uncertainty theory. An Introduction to its Axiomatic Foundations. Authors: Liu, Baoding. 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.

Series: Studies in Fuzziness and Soft Computing (Book 154). Hardcover: 411 pages.

This chapter will provide an uncertainty theory tree and discusses multifold .

This chapter will provide an uncertainty theory tree and discusses multifold uncertainty. Furthermore, a nonclassical credibility theory and a generalized trust theory are introduced. Since the input parameters of the model contain fuzziness and randomness simultaneously, an algorithm based on chance measure is designed. The experimental results on the case application demonstrate the validity of the proposed method. 7 Also, Liu has argued that uncertainty theory is one of the most eligible theories for modeling uncertainty and provided examples to demonstrate its differences with possibility and fuzzy theories.

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oceedings{Liu2004UncertaintyT, title {Uncertainty theory : an introduction to its axiomatic . The existence of T-iid random fuzzy variables and its law of large numbers.

oceedings{Liu2004UncertaintyT, title {Uncertainty theory : an introduction to its axiomatic foundations}, author {Baoding Liu}, year {2004} }. Baoding Liu. Published 2004. Measure and Integral. Nonclassical Credibility Theory. Dug Hun Hong, Jae Duck Kim. 2015.

An axiomatic foundation of credibility theory was given by Liu in his Uncertainty Theory of 2004. Chapter 3 will provide the credibility theory. Sometimes, fuzziness and randomness simultaneously appear in a system. Fuzzy Information and Engineering: Proceedings of the Second International. Библиографические данные. Uncertainty Theory Studies in Fuzziness and Soft Computing (Том 154).

About this Series The series Studies in Fuzziness and Soft Computing . Currently, he is also involved in studies related to the theory of articial consciousness

About this Series The series Studies in Fuzziness and Soft Computing contains publications on various topics in the area of soft computing, which include fuzzy sets, rough sets, neural networks, evolutionary computation, probabilistic and evidential reasoning, multi-valued logic, and related elds. Excellent books are nowadays on the market on Fuzzy Logic, but they continue being located either at the academic side or at the popular science level. Currently, he is also involved in studies related to the theory of articial consciousness.

The series Studies in Fuzziness and Soft Computing contains publications on various areas within so-called soft computing which include fuzzy sets, rough sets, neural networks, evolutionary computations, probabilistic and evidential reasoning, multivalued logic, and related fields. The set of journals have been ranked according to their SJR and divided into four equal groups, four quartiles. Q1 (green) comprises the quarter of the journals with the highest values, Q2 (yellow) the second highest values, Q3 (orange) the third highest values and Q4 (red) the lowest values.

This book provides a self-contained, comprehensive and up-to-date . Studies in fuzziness and soft computing ; volume 154.

This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. Full description Studies in fuzziness and soft computing ; volume 154. Subjects: Fuzzy statistics.

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 the field of applied mathematics, operations research, statistics, industrial engineering, information science and management science will find this work a stimulating and useful reference.

**Author:**Baoding Liu

**ISBN:**3540213333

**Category:**Computers & Technology

**Subcategory:**Computer Science

**Language:**English

**Publisher:**Springer; 1 edition (June 24, 2004)

**Pages:**411 pages