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Belief Reasoning, Revision and Fusion by Matrix Algebra

Lecture notes in computer sciencePublished 1 January 2004
Churn‐Jung Liau
Citations9
SJR quartileQ2
SJR score0.35
SNIP0.55

TL;DR

A matrix representation for ordered belief states is developed and it is shown that belief reasoning, revision and fusion can all be interpreted as operations of matrix algebra.

Abstract

Representation of belief states is an important issue forknowledge based systems. In this paper, we develop a matrix representation for ordered belief states and show that belief reasoning, revision and fusion can all be interpreted as operations of matrix algebra. Thus, the matrix representation can serve as the basis of algebraic semantics for belief logic.

Keywords

Computer Science