Probabilistic Logic in a Coherent Setting

R. Scozzafava

ISBN 10: 1402009704 / ISBN 13: 9781402009709

Published by Springer Netherlands, Springer Netherlands Okt 2002, 2002

About this Item

Neuware -The approach to probability theory followed in this book (which differs radically from the usual one, based on a measure-theoretic framework) characterizes probability as a linear operator rather than as a measure, and is based on the concept of coherence, which can be framed in the most general view of conditional probability. It is a `flexible' and unifying tool suited for handling, e.g., partial probability assessments (not requiring that the set of all possible `outcomes' be endowed with a previously given algebraic structure, such as a Boolean algebra), and conditional independence, in a way that avoids all the inconsistencies related to logical dependence (so that a theory referring to graphical models more general than those usually considered in bayesian networks can be derived). Moreover, it is possible to encompass other approaches to uncertain reasoning, such as fuzziness, possibility functions, and default reasoning.The book is kept self-contained, provided the reader is familiar with the elementary aspects of propositional calculus, linear algebra, and analysis.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 300 pp. Englisch.

Seller Inventory # 9781402009709

Bibliographic Details

• Title: Probabilistic Logic in a Coherent Setting
• Publisher: Springer Netherlands, Springer Netherlands Okt 2002
• Publication Date: 2002
• Language: English
• ISBN 10: 1402009704
• ISBN 13: 9781402009709
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

The approach to probability theory followed in this book (which differs radically from the usual one, based on a measure-theoretic framework) characterizes probability as a linear operator rather than as a measure, and is based on the concept of coherence, which can be framed in the most general view of conditional probability. It is a `flexible' and unifying tool suited for handling, e.g., partial probability assessments (not requiring that the set of all possible `outcomes' be endowed with a previously given algebraic structure, such as a Boolean algebra), and conditional independence, in a way that avoids all the inconsistencies related to logical dependence (so that a theory referring to graphical models more general than those usually considered in bayesian networks can be derived). Moreover, it is possible to encompass other approaches to uncertain reasoning, such as fuzziness, possibility functions, and default reasoning.
The book is kept self-contained, provided the reader is familiar with the elementary aspects of propositional calculus, linear algebra, and analysis.

Product Description

Probabilistic Logic in a Coherent Setting Characterizing probability as a linear operator rather than as a measure, this book is based on the concept of coherence, which can be framed in the most general view of conditional probability. It is useful for the readers familiar with the elementary aspects of propositional calculus, linear algebra, and analysis.