A Measure of Closeness of Weak Implication to Strict Implication
Abstract
The concept of weak implication introduced by R. Boudon is relevant to approximate reasoning which is a subject of the study in AI. The weak implication can be interpreted by the fuzzy material implication which is a binary fuzzy relation. A measure of closeness of weak implication to strict implication is defined as the maximum of distances within the given fuzzy relation, but constructed in the 2×2 contigency table. This measure agrees with the absolute value of Boudon's index f of closeness of weak implication to strict implication under some conditions.
Cite
Text
Okamoto. "A Measure of Closeness of Weak Implication to Strict Implication." International Joint Conference on Artificial Intelligence, 1979.Markdown
[Okamoto. "A Measure of Closeness of Weak Implication to Strict Implication." International Joint Conference on Artificial Intelligence, 1979.](https://mlanthology.org/ijcai/1979/okamoto1979ijcai-measure/)BibTeX
@inproceedings{okamoto1979ijcai-measure,
title = {{A Measure of Closeness of Weak Implication to Strict Implication}},
author = {Okamoto, Masanori B.},
booktitle = {International Joint Conference on Artificial Intelligence},
year = {1979},
pages = {696-698},
url = {https://mlanthology.org/ijcai/1979/okamoto1979ijcai-measure/}
}