English

Conditional Independence in Possibility Theory

Artificial Intelligence 2013-02-28 v1

Abstract

Possibilistic conditional independence is investigated: we propose a definition of this notion similar to the one used in probability theory. The links between independence and non-interactivity are investigated, and properties of these relations are given. The influence of the conjunction used to define a conditional measure of possibility is also highlighted: we examine three types of conjunctions: Lukasiewicz - like T-norms, product-like T-norms and the minimum operator.

Keywords

Cite

@article{arxiv.1302.6806,
  title  = {Conditional Independence in Possibility Theory},
  author = {Pascale Fonck},
  journal= {arXiv preprint arXiv:1302.6806},
  year   = {2013}
}

Comments

Appears in Proceedings of the Tenth Conference on Uncertainty in Artificial Intelligence (UAI1994)

R2 v1 2026-06-21T23:33:36.669Z