Belief revision by sets of sentences

Zhang, Dongmo

doi:10.1007/bf02943527

Cited by 18 publications

(25 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, we use the approach of allowing jumps in the surface orientation across the unstable directions similar to the cases of 1D surface [6,7,20] in the computation. For 1D surfaces the corresponding evolution equation is unstable for certain surface orientations regardless of surface curvature [6,7,20]. As shown in Section 3, the evolution equation for 2D surfaces is less likely to be unstable since the principal directions of surface curvature also play a role in stability.…”

Section: Evolution Of Crystals To Equilibrium and Discussionmentioning

confidence: 99%

“…There are studies of the evolution of two-dimensional (2D) crystals with one-dimensional (1D) surfaces [6][7][8][9]. Although there are similarities between the cases of 2D and 3D crystals, due to the extra dimension in 3D crystals, there exist phenomena and properties that are not exhibited in models for 2D crystals as we will show.…”

Section: Introductionmentioning

confidence: 94%

“…Researchers Refs. [6][7][8][9] have studied steady-state (or equilibrium) crystal shapes obtained through surface diffusion with anisotropic surface free energies. These steady state crystal shapes are equilibrium solutions of the evolution equations and called ECS here.…”

Section: Mathematical Modeling In Spherical Coordinatesmentioning

confidence: 99%

See 2 more Smart Citations

Evolution of crystal morphologies to equilibrium by surface diffusion with anisotropic surface free energy in three dimensions

Zhang

2006

Journal of Crystal Growth

View full text Add to dashboard Cite

Section: Evolution Of Crystals To Equilibrium and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 94%

See 1 more Smart Citation

Evolution of crystal morphologies to equilibrium by surface diffusion with anisotropic surface free energy in three dimensions

Zhang

2006

Journal of Crystal Growth

View full text Add to dashboard Cite

“…In Zhang (1996), Zhang proposed a new kind of multiple contraction called general contraction, denoted by K F. It was renamed as set contraction in Zhang and Foo (2001) by Zhang and Foo to avoid confusion with other multiple contractions. The main difference between set contraction and other contractions is that it does not specify any information to be discarded.…”

Section: Comparison With Set Contractionmentioning

confidence: 99%

Rational evaluation in belief revision

Yuan¹,

Ju²

2015

Synthese

View full text Add to dashboard Cite

We introduce a new operator, called rational evaluation, in belief change. The operator evaluates new information according to the agent's core beliefs, and then exports the plausible part of the new information. It belongs to the decision module in belief change. We characterize rational evaluation by axiomatic postulates and propose two functional constructions for it, based on the well-known constructions of kernel sets and remainder sets, respectively. The main results of the paper are two representation theorems with respect to the two functional constructions. We also compare and connect the evaluation operator with some related operators in belief revision, including contraction, set contraction, and prioritized multiple revision.

show abstract

“…Applying logical constraint on the mapping to make it to be an epistemic entrenchment ordering has been also exploited in [17] [18]. However, the ordering we use here should be differentiated from the ways to map possible worlds to ordinals [16] or to map Spohn's system of spheres to ordinals [15] since the underlying ontologies are significantly different even though they might be interconvertible.…”

Section: Definitionmentioning

confidence: 99%

Properties of Iterated Multiple Belief Revision

Zhang

2003

Lecture Notes in Computer Science

Self Cite

View full text Add to dashboard Cite

Abstract. In this paper we investigate the properties of iterated multiple belief revision. We examine several typical assumptions for iterated revision operations with an ontology where an agent assigns ordinals to beliefs, representing strength or firmness of beliefs. A notion of minimal change is introduced to express the idea that if no evidence to show how a belief set should be reordered after it is revised, the changes on the ordering should be minimal. It has been shown that under the assumption of minimal change, the multiple version of Darwiche and Pearl's postulate (C1) holds no matter in what degree new information is accepted. Moreover, under the same assumption, Boutilier's postulate (CB) holds if and only if new information is always accepted in the lowest degree of firmness while Nayak et al.'s postulate (CN ) holds if and only if new information is always accepted in the highest degree. These results provide an ontological base for analyzing the rationality of postulates of iterated belief revision.

show abstract

Belief revision by sets of sentences

Cited by 18 publications

References 18 publications

Evolution of crystal morphologies to equilibrium by surface diffusion with anisotropic surface free energy in three dimensions

Evolution of crystal morphologies to equilibrium by surface diffusion with anisotropic surface free energy in three dimensions

Rational evaluation in belief revision

Properties of Iterated Multiple Belief Revision

Contact Info

Product

Resources

About