On the relationship between fuzzy logic and four-valued relevance logic
Artificial Intelligence
2007-05-23 v1
Abstract
In fuzzy propositional logic, to a proposition a partial truth in [0,1] is assigned. It is well known that under certain circumstances, fuzzy logic collapses to classical logic. In this paper, we will show that under dual conditions, fuzzy logic collapses to four-valued (relevance) logic, where propositions have truth-value true, false, unknown, or contradiction. As a consequence, fuzzy entailment may be considered as ``in between'' four-valued (relevance) entailment and classical entailment.
Keywords
Cite
@article{arxiv.cs/0010037,
title = {On the relationship between fuzzy logic and four-valued relevance logic},
author = {Umberto Straccia},
journal= {arXiv preprint arXiv:cs/0010037},
year = {2007}
}