Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
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.
The book is kept self-contained, provided the reader is familiar with the elementary aspects of propositional calculus, linear algebra, and analysis.
Similar content being viewed by others
Keywords
Table of contents (21 chapters)
-
Front Matter
Authors and Affiliations
Bibliographic Information
Book Title: Probabilistic Logic in a Coherent Setting
Authors: Giulianella Coletii, Romano Scozzafava
Series Title: Trends in Logic
DOI: https://doi.org/10.1007/978-94-010-0474-9
Publisher: Springer Dordrecht
-
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 2002
Hardcover ISBN: 978-1-4020-0917-4Published: 31 October 2002
Softcover ISBN: 978-1-4020-0970-9Published: 31 October 2002
eBook ISBN: 978-94-010-0474-9Published: 06 December 2012
Series ISSN: 1572-6126
Series E-ISSN: 2212-7313
Edition Number: 1
Number of Pages: IV, 291
Topics: Logic, Mathematical Logic and Foundations, Artificial Intelligence, Probability Theory and Stochastic Processes