most citedAn Order of Magnitude Calculus

43 citations · 56 across the 6 of their papers we have counts for

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cs.AI20131 cited

Rules, Belief Functions and Default Logic

Nic Wilson

This paper describes a natural framework for rules, based on belief functions, which includes a repre- sentation of numerical rules, default rules and rules allowing and rules not…

cs.AI2013

A Monte-Carlo Algorithm for Dempster-Shafer Belief

Nic Wilson

A very computationally-efficient Monte-Carlo algorithm for the calculation of Dempster-Shafer belief is described. If Bel is the combination using Dempster's Rule of belief functio…

cs.AI2013

The Assumptions Behind Dempster's Rule

Nic Wilson

This paper examines the concept of a combination rule for belief functions. It is shown that two fairly simple and apparently reasonable assumptions determine Dempster's rule, givi…

cs.AI2013

Generating Graphoids from Generalised Conditional Probability

Nic Wilson

We take a general approach to uncertainty on product spaces, and give sufficient conditions for the independence structures of uncertainty measures to satisfy graphoid properties.…

cs.AI201343 cited

An Order of Magnitude Calculus

Nic Wilson

This paper develops a simple calculus for order of magnitude reasoning. A semantics is given with soundness and completeness results. Order of magnitude probability functions are e…

cs.AI201212 cited

Multi-objective Influence Diagrams

Radu Marinescu, Abdul Razak, Nic Wilson

We describe multi-objective influence diagrams, based on a set of p objectives, where utility values are vectors in Rp, and are typically only partially ordered. These can still be…