An Ordinal View of Independence with Application to Plausible Reasoning
Abstract
An ordinal view of independence is studied in the framework of possibility theory. We investigate three possible definitions of dependence, of increasing strength. One of them is the counterpart to the multiplication law in probability theory, and the two others are based on the notion of conditional possibility. These two have enough expressive power to support the whole possibility theory, and a complete axiomatization is provided for the strongest one. Moreover we show that weak independence is well-suited to the problems of belief change and plausible reasoning, especially to address the problem of blocking of property inheritance in exception-tolerant taxonomic reasoning.
Cite
Text
Dubois et al. "An Ordinal View of Independence with Application to Plausible Reasoning." Conference on Uncertainty in Artificial Intelligence, 1994. doi:10.1016/B978-1-55860-332-5.50030-4Markdown
[Dubois et al. "An Ordinal View of Independence with Application to Plausible Reasoning." Conference on Uncertainty in Artificial Intelligence, 1994.](https://mlanthology.org/uai/1994/dubois1994uai-ordinal/) doi:10.1016/B978-1-55860-332-5.50030-4BibTeX
@inproceedings{dubois1994uai-ordinal,
title = {{An Ordinal View of Independence with Application to Plausible Reasoning}},
author = {Dubois, Didier and del Cerro, Luis Fariñas and Herzig, Andreas and Prade, Henri},
booktitle = {Conference on Uncertainty in Artificial Intelligence},
year = {1994},
pages = {195-203},
doi = {10.1016/B978-1-55860-332-5.50030-4},
url = {https://mlanthology.org/uai/1994/dubois1994uai-ordinal/}
}